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Volumn , Issue , 2007, Pages 1-667

Engineering Optimization: Methods and Applications: Second Edition

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EID: 84889382553     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470117811     Document Type: Book
Times cited : (36)

References (458)
  • 1
    • 0003770184 scopus 로고
    • Multiple Criteria Decision Making
    • McGraw-Hill, New York
    • Zeleny, M., Multiple Criteria Decision Making, McGraw-Hill, New York, (1982).
    • (1982)
    • Zeleny, M.1
  • 2
    • 0004129529 scopus 로고
    • Optimality in Parametric Systems
    • Wiley, New York
    • Vincent, T. L., and W. J. Grantham, Optimality in Parametric Systems, Wiley, New York, (1981).
    • (1981)
    • Vincent, T.L.1    Grantham, W.J.2
  • 3
    • 0003835455 scopus 로고
    • Thermodynamics for Chemical Engineers
    • MIT Pres, Cambridge, MA
    • Bett, K. E., J. S. Rowlinson, and G. Saville, Thermodynamics for Chemical Engineers, MIT Pres, Cambridge, MA, (1975).
    • (1975)
    • Bett, K.E.1    Rowlinson, J.S.2    Saville, G.3
  • 4
    • 84874675462 scopus 로고
    • Optimal Capacities of Production Facilities
    • Jen, F. C., C. C. Pegels, and T. M. Dupuis, "Optimal Capacities of Production Facilities," Manag. Sci. 14B, 570-580 (1968).
    • (1968) Manag. Sci. , vol.14 B , pp. 570-580
    • Jen, F.C.1    Pegels, C.C.2    Dupuis, T.M.3
  • 5
    • 0003902029 scopus 로고
    • Mechanical Engineering Design
    • McGraw-Hill, New York
    • Shigley, J. E., Mechanical Engineering Design, McGraw-Hill, New York, 1973, p. 271.
    • (1973) , pp. 271
    • Shigley, J.E.1
  • 6
    • 0003513999 scopus 로고
    • Theory of Elastic Stability
    • McGraw-Hill, New York
    • Timoshenko, S., and J. Gere, Theory of Elastic Stability, McGraw-Hill, New York, 1961, p. 257.
    • (1961) , pp. 257
    • Timoshenko, S.1    Gere, J.2
  • 7
    • 0016986026 scopus 로고
    • Optimal Design of a Class of Welded Structures using Geometric Programming
    • Ragsdell, K. M., and D. T. Phillips, "Optimal Design of a Class of Welded Structures using Geometric Programming," ASME J. Eng. Ind. Ser. B, 98(3), 1021-1025 (1975).
    • (1975) ASME J. Eng. Ind. Ser. B , vol.98 , Issue.3 , pp. 1021-1025
    • Ragsdell, K.M.1    Phillips, D.T.2
  • 8
    • 84889313568 scopus 로고
    • Chemical Equilibrium in Complex Mixtures
    • White, W. B., S. M. Johnson, and G. B. Dantzig, "Chemical Equilibrium in Complex Mixtures," J. Chem. Phys., 28, 251-255 (1959).
    • (1959) J. Chem. Phys. , vol.28 , pp. 251-255
    • White, W.B.1    Johnson, S.M.2    Dantzig, G.B.3
  • 9
    • 0003506771 scopus 로고
    • Engineering Circuit Analysis
    • McGraw-Hill, New York
    • Hayt, W. H., and J. E. Kemmerly, Engineering Circuit Analysis, McGraw-Hill, New York, 1971, Chap. 2.
    • (1971) , pp. 2
    • Hayt, W.H.1    Kemmerly, J.E.2
  • 10
    • 0018531984 scopus 로고
    • Application of Mathematical Programming to Metal Cutting
    • Philipson, R. H., and A. Ravindran, "Application of Mathematical Programming to Metal Cutting," Math. Prog. Study, 11, 116-134 (1979).
    • (1979) Math. Prog. Study , vol.11 , pp. 116-134
    • Philipson, R.H.1    Ravindran, A.2
  • 11
    • 0004279789 scopus 로고
    • The Machining of Metals
    • Prentice-Hall, Englewood Cliffs, NJ
    • Armarego, E. J. A., and R. H. Brown, The Machining of Metals, Prentice-Hall, Englewood Cliffs, NJ, (1969).
    • (1969)
    • Armarego, E.J.A.1    Brown, R.H.2
  • 14
    • 0343971095 scopus 로고
    • A History of Operations Research
    • Operations Research for Management (J. F. McCloskey and F. N. Trefethen, Eds.), John Hopkins Press, Baltimore, MD
    • Trefethen, F. N., "A History of Operations Research," in Operations Research for Management (J. F. McCloskey and F. N. Trefethen, Eds.), John Hopkins Press, Baltimore, MD, (1954).
    • (1954)
    • Trefethen, F.N.1
  • 15
    • 0038031286 scopus 로고
    • Quality by Design
    • ASI Press, Dearborn, MI
    • Ealey, L. A., Quality by Design, ASI Press, Dearborn, MI, (1988).
    • (1988)
    • Ealey, L.A.1
  • 16
    • 0003610695 scopus 로고
    • Taguchi on Robust Technology Development
    • ASME Press, New York
    • Taguchi, G. Taguchi on Robust Technology Development, ASME Press, New York, (1993).
    • (1993)
    • Taguchi, G.1
  • 17
    • 0003497097 scopus 로고
    • System of Experimental Design
    • Unipub/Kraus, White Plains, NY
    • Taguchi, G., System of Experimental Design, Vols. 1 and 2, Unipub/Kraus, White Plains, NY, (1987).
    • (1987) , vol.1-2
    • Taguchi, G.1
  • 18
    • 0003488151 scopus 로고
    • Introduction to Quality Engineering
    • Asian Productivity Organization, Tokyo
    • Taguchi, G., Introduction to Quality Engineering, Asian Productivity Organization, Tokyo, (1986).
    • (1986)
    • Taguchi, G.1
  • 19
    • 84915848785 scopus 로고
    • Report on the Development of a Direct Search Method of Optimization
    • London
    • Swann, W. H., "Report on the Development of a Direct Search Method of Optimization," ICI Ltd., Central Instr. Res. Lab, Res. Note, 64/3, London, (1964).
    • (1964) ICI Ltd., Central Instr. Res. Lab, Res. Note , pp. 64-73
    • Swann, W.H.1
  • 20
    • 0000835342 scopus 로고
    • Optimum Sequential Search and Approximation Methods under Minimum Regularity Assumptions
    • Kiefer, J., "Optimum Sequential Search and Approximation Methods under Minimum Regularity Assumptions," J. Soc. Ind. Appl. Math., 5(3), 105-125 (1957).
    • (1957) J. Soc. Ind. Appl. Math. , vol.5 , Issue.3 , pp. 105-125
    • Kiefer, J.1
  • 21
    • 0004290152 scopus 로고
    • Elements of Real Analysis
    • Wiley, New York
    • Bartle, R., Elements of Real Analysis, Wiley, New York, (1976).
    • (1976)
    • Bartle, R.1
  • 22
    • 0001008029 scopus 로고
    • An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives
    • Powell, M. J. D., "An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives," Computer J., 7, 155-162 (1964).
    • (1964) Computer J. , vol.7 , pp. 155-162
    • Powell, M.J.D.1
  • 23
    • 84889267412 scopus 로고
    • History of Fluxion
    • London
    • Raphson, J., History of Fluxion, London, (1725).
    • (1725)
    • Raphson, J.1
  • 24
    • 0003468770 scopus 로고
    • Methods for Unconstrained Optimization Problems
    • American Elsevier, New York
    • Kowalik, J., and M. R. Osborne, Methods for Unconstrained Optimization Problems, American Elsevier, New York, (1968).
    • (1968)
    • Kowalik, J.1    Osborne, M.R.2
  • 25
    • 0043061009 scopus 로고
    • Nonlinear Optimization Techniques
    • ICI Monograph, Oliver and Boyd, Edinburgh
    • Box, M. J., D. Davies, and W. H. Swann, Nonlinear Optimization Techniques, ICI Monograph, Oliver and Boyd, Edinburgh, (1969).
    • (1969)
    • Box, M.J.1    Davies, D.2    Swann, W.H.3
  • 26
    • 0003883339 scopus 로고
    • Applied Nonlinear Programming
    • McGraw-Hill, New York
    • Himmelblau, D. M., Applied Nonlinear Programming, McGraw-Hill, New York, (1972).
    • (1972)
    • Himmelblau, D.M.1
  • 27
    • 0003465464 scopus 로고
    • Algorithms for Minimization without Derivatives
    • Prentice-Hall, Englewood Cliffs, NJ
    • Brent, R. P., Algorithms for Minimization without Derivatives, Prentice-Hall, Englewood Cliffs, NJ, (1973).
    • (1973)
    • Brent, R.P.1
  • 28
    • 0003738509 scopus 로고
    • Operations Research: Principles and Practice
    • Wiley, New York
    • Phillips, D. T., A. Ravindran, and J. J. Solberg, Operations Research: Principles and Practice, Wiley, New York, (1976).
    • (1976)
    • Phillips, D.T.1    Ravindran, A.2    Solberg, J.J.3
  • 29
    • 0004136368 scopus 로고
    • Numerical Methods for Unconstrained Optimization
    • Academic, London
    • Murray, W. (Ed.), Numerical Methods for Unconstrained Optimization, Academic, London, (1972).
    • (1972)
    • Murray, W.1
  • 30
    • 84972047841 scopus 로고
    • Theory of Algorithms for Unconstrained Optimization
    • Nocedal, J., "Theory of Algorithms for Unconstrained Optimization," Acta Numerica, 199-242 (1992).
    • (1992) Acta Numerica , pp. 199-242
    • Nocedal, J.1
  • 31
    • 0003768769 scopus 로고    scopus 로고
    • Practical Methods of Optimization
    • 2nd ed., Wiley, New York
    • Fletcher, R., Practical Methods of Optimization, 2nd ed., Wiley, New York, (2000).
    • (2000)
    • Fletcher, R.1
  • 32
    • 0242712166 scopus 로고
    • Non-Linear Optimization Techniques
    • ICI Monograph 5, Oliver and Boyd, Edinburgh
    • Box, M. J., D. Davies, and W. H. Swann, Non-Linear Optimization Techniques, ICI Monograph 5, Oliver and Boyd, Edinburgh, (1969).
    • (1969)
    • Box, M.J.1    Davies, D.2    Swann, W.H.3
  • 33
    • 0242513463 scopus 로고
    • An Extension of Fibonaccian Search to Several Variables
    • Krolak, P., and L. Cooper, "An Extension of Fibonaccian Search to Several Variables," J. ACM, 6, 639-641 (1963).
    • (1963) , vol.6 , pp. 639-641
    • Krolak, P.1    Cooper, L.2
  • 34
    • 0002525028 scopus 로고
    • Evolutionary Operation: A Method for Increasing Industrial Productivity
    • Box, G. E. P., "Evolutionary Operation: A Method for Increasing Industrial Productivity," Appl. Stat., 6, 81-101 (1957).
    • (1957) Appl. Stat. , vol.6 , pp. 81-101
    • Box, G.E.P.1
  • 35
    • 84946640734 scopus 로고
    • Sequential Application of Simplex Designs in Optimization and Evolutionary Operation
    • Spendley, W., G. R. Hext, and F. R. Himsworth, "Sequential Application of Simplex Designs in Optimization and Evolutionary Operation," Technometrics, 4, 441-461 (1962).
    • (1962) Technometrics , vol.4 , pp. 441-461
    • Spendley, W.1    Hext, G.R.2    Himsworth, F.R.3
  • 36
    • 0000238336 scopus 로고
    • A Simplex Method for Function Minimization
    • Nelder, J. A., and R. Mean, "A Simplex Method for Function Minimization," Computer J., 7, 308-313 (1965).
    • (1965) Computer J. , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mean, R.2
  • 37
    • 0004224922 scopus 로고
    • Evolutionary Operation
    • Wiley, New York
    • Box, G. E. P., and N. R. Draper, Evolutionary Operation, Wiley, New York, (1969).
    • (1969)
    • Box, G.E.P.1    Draper, N.R.2
  • 38
    • 0002387209 scopus 로고
    • An Investigation into the Efficiency of Variants on the Simplex Method
    • Numerical Methods for Non-Linear Optimization (F. A. Lootsma, Ed.), Academic, London
    • Parkinson, J. M., and D. Hutchinson, "An Investigation into the Efficiency of Variants on the Simplex Method," in Numerical Methods for Non-Linear Optimization (F. A. Lootsma, Ed.), Academic, London, 1972, pp. 115-135.
    • (1972) , pp. 115-135
    • Parkinson, J.M.1    Hutchinson, D.2
  • 39
    • 0001258795 scopus 로고
    • On Search Directions for Minimization Algorithms
    • Powell, M. J. D., "On Search Directions for Minimization Algorithms," Math. Prog., 4(2), 193-201 (1973).
    • (1973) Math. Prog. , vol.4 , Issue.2 , pp. 193-201
    • Powell, M.J.D.1
  • 40
    • 84938447945 scopus 로고
    • Direct Search of Numerical and Statistical Problems.
    • Hooke, R., and T. A. Jeeves, "Direct Search of Numerical and Statistical Problems." J. ACM, 8, 212-229 (1966).
    • (1966) , vol.8 , pp. 212-229
    • Hooke, R.1    Jeeves, T.A.2
  • 42
    • 0242681907 scopus 로고
    • Optimal Design of Matching Networks for Microwave Transistor Amplifiers
    • Emery, F. E., and M. O. O'Hagan, "Optimal Design of Matching Networks for Microwave Transistor Amplifiers," IEEE Trans. Microwave Theory Tech., 14, 696-698 (1966).
    • (1966) IEEE Trans. Microwave Theory Tech. , vol.14 , pp. 696-698
    • Emery, F.E.1    O'Hagan, M.O.2
  • 43
    • 0001723141 scopus 로고
    • An Automated Method for Finding the Greatest or Least Value of a Function
    • Rosenbrock, H. H., "An Automated Method for Finding the Greatest or Least Value of a Function," Computer J., 3(3), 175-184 (1960).
    • (1960) Computer J. , vol.3 , Issue.3 , pp. 175-184
    • Rosenbrock, H.H.1
  • 44
    • 0242598353 scopus 로고
    • Report on the Development of a New Direct Search Method of Optimization
    • Central Instr. Res. Lab., Res. Note 64/3, Imperial Chemical Industries, Widnes, England
    • Swann, W. H. "Report on the Development of a New Direct Search Method of Optimization," Central Instr. Res. Lab., Res. Note 64/3, Imperial Chemical Industries, Widnes, England, (1964).
    • (1964)
    • Swann, W.H.1
  • 45
    • 0001008029 scopus 로고
    • An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives
    • Powell, M. J. D., "An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives," Computer J., 7, 155-162 (1964).
    • (1964) Computer J. , vol.7 , pp. 155-162
    • Powell, M.J.D.1
  • 46
    • 0000819739 scopus 로고
    • Minimizing a Function without Calculating Derivatives
    • Zangwill, W. I., "Minimizing a Function without Calculating Derivatives," Computer J., 10, 293-296 (1967).
    • (1967) Computer J. , vol.10 , pp. 293-296
    • Zangwill, W.I.1
  • 47
    • 0003465464 scopus 로고
    • Algorithms for Minimization without Derivatives
    • Prentice-Hall, Englewood Cliffs, NJ
    • Brent, R. P., Algorithms for Minimization without Derivatives, Prentice-Hall, Englewood Cliffs, NJ, (1973).
    • (1973)
    • Brent, R.P.1
  • 48
    • 0004240547 scopus 로고
    • Practical Optimization
    • Academic, New York
    • Gill, P. E., W. Murray, and M. H. Wright, Practical Optimization, Academic, New York, 1981, p. 57.
    • (1981) , pp. 57
    • Gill, P.E.1    Murray, W.2    Wright, M.H.3
  • 49
    • 0003333302 scopus 로고
    • Practical Methods of Optimization
    • Wiley, New York
    • Fletcher, R., Practical Methods of Optimization, Vol. 1: Unconstrained Optimization, Wiley, New York, 1980, p. 17.
    • (1980) Unconstrained Optimization , vol.1 , pp. 17
    • Fletcher, R.1
  • 50
    • 0003768769 scopus 로고    scopus 로고
    • Practical Methods of Optimization
    • 2nd ed., Wiley, New York
    • Fletcher, R., Practical Methods of Optimization, 2nd ed., Wiley, New York, (2000).
    • (2000)
    • Fletcher, R.1
  • 51
    • 0000478038 scopus 로고
    • Method Generale pour la Resolution des Systemes d'Equations Simultanees
    • Cauchy. A., "Method Generale pour la Resolution des Systemes d'Equations Simultanees," Compt. Rend. Acad. Sci., 25, 536-538 (1847).
    • (1847) Compt. Rend. Acad. Sci. , vol.25 , pp. 536-538
    • Cauchy, A.1
  • 52
    • 84889424200 scopus 로고
    • Univariate Search Methods
    • Res. Lab., Res. Note 64/11, Imperial Chemical Industries, Widnes, England
    • Coggins, G. F., "Univariate Search Methods," Central Instr. Res. Lab., Res. Note 64/11, Imperial Chemical Industries, Widnes, England, (1964).
    • (1964)
    • Coggins, G.F.1
  • 53
    • 84889327533 scopus 로고
    • OPTLIB: An Optimization Program Library
    • Purdue Research Foundation, West Lafayette, IN, Jan.
    • Gabriele, G. A., and K. M. Ragsdell, OPTLIB: An Optimization Program Library, Purdue Research Foundation, West Lafayette, IN, Jan. (1977).
    • (1977)
    • Gabriele, G.A.1    Ragsdell, K.M.2
  • 55
    • 84889316076 scopus 로고
    • Techniques of Optimization
    • ASME paper 71-vibr.-118 presented at the ASME Design Automat. Conference, Sept. 8-10
    • Mangasarian, O. L., "Techniques of Optimization," ASME paper 71-vibr.-118 presented at the ASME Design Automat. Conference, Sept. 8-10, (1971).
    • (1971)
    • Mangasarian, O.L.1
  • 56
    • 0000169232 scopus 로고
    • An Algorithm for Least Squares Estimation of Non-Linear Parameters
    • Marquardt, D. W., "An Algorithm for Least Squares Estimation of Non-Linear Parameters," SIAM J., 11, 431-441 (1963).
    • (1963) , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 57
    • 0012644896 scopus 로고
    • Problems Related to Unconstrained Optimization
    • Numerical Methods for Unconstrained Optimization, Academic, New York, Chap. 3
    • Powell, M. J. D., "Problems Related to Unconstrained Optimization," in Numerical Methods for Unconstrained Optimization, Academic, New York, 1972, Chap. 3, p. 29.
    • (1972) , pp. 29
    • Powell, M.J.D.1
  • 58
    • 0003406976 scopus 로고
    • Nonlinear Parameter Estimation
    • Academic, New York
    • Bard, Y., Nonlinear Parameter Estimation, Academic, New York, (1974).
    • (1974)
    • Bard, Y.1
  • 59
    • 0000135303 scopus 로고
    • Methods of Conjugate Gradients for Solving Linear Systems
    • Hestenes, M. R., and E. Stiefel, "Methods of Conjugate Gradients for Solving Linear Systems," NBS Res. J., 49, 409-436 (1952).
    • (1952) NBS Res. J. , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.2
  • 60
    • 0000615669 scopus 로고
    • Function Minimization by Conjugate Gradients
    • Fletcher, R., and C. M. Reeves, "Function Minimization by Conjugate Gradients," Computer J., 7, 149-154 (1964).
    • (1964) Computer J. , vol.7 , pp. 149-154
    • Fletcher, R.1    Reeves, C.M.2
  • 61
    • 0017921905 scopus 로고
    • SOR vs Conjugate Gradients in a Finite Element Discretization
    • Fried, I., and J. Metzler, "SOR vs Conjugate Gradients in a Finite Element Discretization," Int. J. Numer. Methods Eng., 12, 1329-1342, (1978).
    • (1978) Int. J. Numer. Methods Eng. , vol.12 , pp. 1329-1342
    • Fried, I.1    Metzler, J.2
  • 62
    • 0014520899 scopus 로고
    • Study on a Memory Gradient Method for Minimization of Functions
    • JOTA
    • Miele, A., and J. W. Cantrell, "Study on a Memory Gradient Method for Minimization of Functions," JOTA, 3(6), 459 (1969).
    • (1969) , vol.3 , Issue.6 , pp. 459
    • Miele, A.1    Cantrell, J.W.2
  • 63
    • 0001903222 scopus 로고
    • Note sur la Convergence de Methods de Directions Conjugees
    • Polak, E., and G. Ribiere, "Note sur la Convergence de Methods de Directions Conjugees," Rev. Fr. Inform. Rech. Operat., 16, 35-43 (1969).
    • (1969) Rev. Fr. Inform. Rech. Operat. , vol.16 , pp. 35-43
    • Polak, E.1    Ribiere, G.2
  • 64
    • 0016509249 scopus 로고
    • A Robust Conjugate-Gradient Algorithm Which Minimizes L-Functions
    • Davison, E. J., and P. Wong, "A Robust Conjugate-Gradient Algorithm Which Minimizes L-Functions," Automatica, 11, 297-308 (1975).
    • (1975) Automatica , vol.11 , pp. 297-308
    • Davison, E.J.1    Wong, P.2
  • 65
    • 0018431929 scopus 로고
    • A Conjugate Gradient Optimization Method Invariant to Nonlinear Scaling
    • Boland, W. R., E. R. Kamgnia, and J. S. Kowalik, "A Conjugate Gradient Optimization Method Invariant to Nonlinear Scaling," JOTA, 27(2), 221-230 (1979).
    • (1979) , vol.27 , Issue.2 , pp. 221-230
    • Boland, W.R.1    Kamgnia, E.R.2    Kowalik, J.S.3
  • 66
    • 0018467170 scopus 로고
    • Extended Conjugate-Gradient Methods with Restarts
    • Boland, W. R., and J. S. Kowalik, "Extended Conjugate-Gradient Methods with Restarts," JOTA, 28(1), 1-9 (1979).
    • (1979) , vol.28 , Issue.1 , pp. 1-9
    • Boland, W.R.1    Kowalik, J.S.2
  • 67
    • 0010846477 scopus 로고
    • Linear Convergence of the Conjugate Gradient Method
    • Crowder, H. P., and P. Wolfe, "Linear Convergence of the Conjugate Gradient Method," IBM J. Res. Develop., 16, 431-433 (1972).
    • (1972) IBM J. Res. Develop. , vol.16 , pp. 431-433
    • Crowder, H.P.1    Wolfe, P.2
  • 68
    • 0016990059 scopus 로고
    • Some Convergence Properties of the Conjugate Gradient Method
    • Powell, M. J. D., "Some Convergence Properties of the Conjugate Gradient Method," Math. Prog., 11, 42-49 (1976).
    • (1976) Math. Prog. , vol.11 , pp. 42-49
    • Powell, M.J.D.1
  • 69
    • 33846446220 scopus 로고
    • Restart Procedures for the Conjugate Gradient Method
    • Powell, M. J. D., "Restart Procedures for the Conjugate Gradient Method," Math. Prog., 12, 241-254 (1977).
    • (1977) Math. Prog. , vol.12 , pp. 241-254
    • Powell, M.J.D.1
  • 70
    • 0010515793 scopus 로고
    • A Derivation of Conjugate Gradients
    • Numerical Methods for Non-Linear Optimization (F. A. Lootsma, Ed.), Academic, New York
    • Beale, E. M. L., "A Derivation of Conjugate Gradients," in Numerical Methods for Non-Linear Optimization (F. A. Lootsma, Ed.), Academic, New York, 1972, pp. 39-43.
    • (1972) , pp. 39-43
    • Beale, E.M.L.1
  • 71
    • 0000618748 scopus 로고
    • Conjugate Gradient Methods with Inexact Searches
    • Shanno, D. F., "Conjugate Gradient Methods with Inexact Searches," Math. Oper. Res., 3(3), 244-256 (1978).
    • (1978) Math. Oper. Res. , vol.3 , Issue.3 , pp. 244-256
    • Shanno, D.F.1
  • 72
    • 0019042977 scopus 로고
    • Large Scale Nonlinear Programming Using the Generalized Reduced Gradient Method
    • Gabriele, G. A., and K. M. Ragsdell, "Large Scale Nonlinear Programming Using the Generalized Reduced Gradient Method," ASME J. Mech. Des., 102(3), 566-573 (1980).
    • (1980) , vol.102 , Issue.3 , pp. 566-573
    • Gabriele, G.A.1    Ragsdell, K.M.2
  • 73
    • 0003840951 scopus 로고
    • Nonlinear Programming: Analysis and Methods
    • Prentice-Hall, Englewood Cliffs, NJ
    • Avriel, M., Nonlinear Programming: Analysis and Methods, Prentice-Hall, Englewood Cliffs, NJ, 1976, p. 322.
    • (1976) , pp. 322
    • Avriel, M.1
  • 74
    • 0003479664 scopus 로고
    • Variable Metric Method for Minimization
    • ANL-599
    • Davidon, W. C., "Variable Metric Method for Minimization," AEC Res. Develop. Rep., ANL-599, (1959).
    • (1959) AEC Res. Develop. Rep.
    • Davidon, W.C.1
  • 75
    • 0000387235 scopus 로고
    • A Rapidly Convergent Descent Method for Minimization
    • Fletcher, R., and M. J. D. Powell, "A Rapidly Convergent Descent Method for Minimization," Computer J., 6, 163 (1963).
    • (1963) Computer J. , vol.6 , pp. 163
    • Fletcher, R.1    Powell, M.J.D.2
  • 76
    • 19944366594 scopus 로고
    • The Convergence of a Class of Double-Rank Minimization Algorithms
    • Broyden, G. G., "The Convergence of a Class of Double-Rank Minimization Algorithms," J. Inst. Math. Appl., 6, 76-90, 222-231 (1970).
    • (1970) J. Inst. Math. Appl. , vol.6 , Issue.76-90 , pp. 222-231
    • Broyden, G.G.1
  • 77
    • 0014825610 scopus 로고
    • A New Approach to Variable Metric Algorithms
    • Fletcher, R., "A New Approach to Variable Metric Algorithms," Computer J., 13, 317-322 (1970).
    • (1970) Computer J. , vol.13 , pp. 317-322
    • Fletcher, R.1
  • 78
    • 34250299079 scopus 로고
    • Generating Conjugate Directions without Line Searches Using Factorized Variable Metric Updating Formulas
    • Goldfarb, D., "Generating Conjugate Directions without Line Searches Using Factorized Variable Metric Updating Formulas," Math Prog., 13, 94-110 (1977).
    • (1977) Math Prog. , vol.13 , pp. 94-110
    • Goldfarb, D.1
  • 79
    • 84968497764 scopus 로고
    • Conditioning of Quasi-Newton Methods for Function Minimization
    • Shanno, D. F., "Conditioning of Quasi-Newton Methods for Function Minimization," Math. Comp., 24, 647-657 (1970).
    • (1970) Math. Comp. , vol.24 , pp. 647-657
    • Shanno, D.F.1
  • 80
    • 0003797421 scopus 로고
    • A View of Unconstrained Optimization
    • paper presented at IMA Conference Jan.
    • Powell, M. J. D., "A View of Unconstrained Optimization," paper presented at IMA Conference, "Optimization in Action," Jan. (1975).
    • (1975) Optimization in Action
    • Powell, M.J.D.1
  • 81
    • 0016536544 scopus 로고
    • Optimally Conditioned Optimization Algorithms without Line Searches
    • Davidon, W. C., "Optimally Conditioned Optimization Algorithms without Line Searches," Math. Prog., 9, 1-30 (1975).
    • (1975) Math. Prog. , vol.9 , pp. 1-30
    • Davidon, W.C.1
  • 82
    • 34250299217 scopus 로고
    • Quadratic Termination Properties of Davidon's New Variable Metric Algorithm
    • Powell, M. J. D., "Quadratic Termination Properties of Davidon's New Variable Metric Algorithm," Math. Prog., 12, 141-147 (1977).
    • (1977) Math. Prog. , vol.12 , pp. 141-147
    • Powell, M.J.D.1
  • 83
    • 33747769240 scopus 로고
    • Methods of Conjugate Directions versus Quasi-Newton Methods
    • McCormick, G. P., "Methods of Conjugate Directions versus Quasi-Newton Methods," Math. Prog., 3(1), 101-116 (1972).
    • (1972) Math. Prog. , vol.3 , Issue.1 , pp. 101-116
    • McCormick, G.P.1
  • 84
    • 84889449716 scopus 로고
    • A Variable Method Subroutine for Unconstrained Nonlinear Minimization
    • Manag. Inform. Syst. Rep. University of Arizona, Tucson, AZ
    • Shanno, D. F., and K. H. Phua, "A Variable Method Subroutine for Unconstrained Nonlinear Minimization," Manag. Inform. Syst. Rep. 28, University of Arizona, Tucson, AZ, (1979).
    • (1979)
    • Shanno, D.F.1    Phua, K.H.2
  • 85
    • 0006577643 scopus 로고
    • Quasi-Newton Algorithms Generate Identical Points
    • Dixon, L. C. W., "Quasi-Newton Algorithms Generate Identical Points," Math. Prog., 2(3), 383-387 (1972).
    • (1972) Math. Prog. , vol.2 , Issue.3 , pp. 383-387
    • Dixon, L.C.W.1
  • 86
    • 34250458499 scopus 로고
    • Quasi-Newton Algorithms Generate Identical Points II: The Proofs of Four New Theorems
    • Dixon, L. C. W., "Quasi-Newton Algorithms Generate Identical Points II: The Proofs of Four New Theorems," Math. Prog., 3(3), 345-358 (1972).
    • (1972) Math. Prog. , vol.3 , Issue.3 , pp. 345-358
    • Dixon, L.C.W.1
  • 87
    • 0001184391 scopus 로고
    • Matrix Conditioning and Nonlinear Optimization
    • Shanno, D. F., and K. H. Phua, "Matrix Conditioning and Nonlinear Optimization," Math. Prog., 14, 149-160 (1978).
    • (1978) Math. Prog. , vol.14 , pp. 149-160
    • Shanno, D.F.1    Phua, K.H.2
  • 88
    • 0018000824 scopus 로고
    • Numerical Comparison of Several Variable-Metric Algorithms
    • Shanno, D. F., and K. H. Phua, "Numerical Comparison of Several Variable-Metric Algorithms," JOTA, 25(4), 507-518 (1978).
    • (1978) , vol.25 , Issue.4 , pp. 507-518
    • Shanno, D.F.1    Phua, K.H.2
  • 89
    • 0016926995 scopus 로고
    • Algorithms 500: Minimization of Unconstrained Multivariate Functions [E4]
    • Shanno, D. F., and K. H. Phua, "Algorithms 500: Minimization of Unconstrained Multivariate Functions [E4], "ACM Trans. Math. Software, 2(1), 87-94 (1976).
    • (1976) , vol.2 , Issue.1 , pp. 87-94
    • Shanno, D.F.1    Phua, K.H.2
  • 90
    • 0017415899 scopus 로고
    • On the Performance of a Combined Generalized Reduced Gradient and Davidon-Fletcher-Powell Algorithm: GRGDFP
    • LaFrance, L. J., J. F. Hamilton, and K. M. Ragsdell, "On the Performance of a Combined Generalized Reduced Gradient and Davidon-Fletcher-Powell Algorithm: GRGDFP," Eng. Opt., 2, 269-278 (1977).
    • (1977) Eng. Opt. , vol.2 , pp. 269-278
    • LaFrance, L.J.1    Hamilton, J.F.2    Ragsdell, K.M.3
  • 91
    • 0019040422 scopus 로고
    • Computational Enhancements to the Method of Multipliers
    • Root, R. R., and K. M. Ragsdell, "Computational Enhancements to the Method of Multipliers," ASME J. Mech. Des., 102(3), 517-523 (1980).
    • (1980) ASME J. Mech. Des. , vol.102 , Issue.3 , pp. 517-523
    • Root, R.R.1    Ragsdell, K.M.2
  • 92
    • 0000373474 scopus 로고
    • Superlinearly Convergent Variable Metric Algorithms for General Nonlinear Programming Problems
    • Han, S. P., "Superlinearly Convergent Variable Metric Algorithms for General Nonlinear Programming Problems," Math. Prog., 11, 263-282 (1976).
    • (1976) Math. Prog. , vol.11 , pp. 263-282
    • Han, S.P.1
  • 93
    • 0002336269 scopus 로고
    • The Convergence of Variable Metric Method for Nonlinear Constrained Optimization Calculations
    • Nonlinear Programming, Vol. 3 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York
    • Powell, M. J. D., "The Convergence of Variable Metric Method for Nonlinear Constrained Optimization Calculations," in Nonlinear Programming, Vol. 3 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York, 1978, pp. 27-64.
    • (1978) , pp. 27-64
    • Powell, M.J.D.1
  • 94
    • 0003982971 scopus 로고    scopus 로고
    • Numerical Optimization
    • Springer Science, New York
    • Nocedal, J., and S. J. Wright, Numerical Optimization, Springer Science, New York, (1999).
    • (1999)
    • Nocedal, J.1    Wright, S.J.2
  • 95
    • 0007113630 scopus 로고
    • On Sparse and Symmetric Matrix Updating Subject to a Linear Equation
    • Toint, Ph. L., "On Sparse and Symmetric Matrix Updating Subject to a Linear Equation," Math. Comp., 31(140), 954-961 (1977).
    • (1977) Math. Comp. , vol.31 , Issue.140 , pp. 954-961
    • Toint, P.L.1
  • 96
    • 0000495643 scopus 로고
    • On the Estimation of Sparse Hessian Matrices
    • Powell, M. J. D., and Ph. L. Toint, "On the Estimation of Sparse Hessian Matrices," SIAM J. Numer. Anal., 16, 1060-1074 (1979).
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 1060-1074
    • Powell, M.J.D.1    Toint, P.L.2
  • 97
    • 84966260743 scopus 로고
    • On Variable-Metric Methods for Sparse Hessians
    • Shanno, D. F., "On Variable-Metric Methods for Sparse Hessians," Math. Comp., 34(150), 499-514 (1980).
    • (1980) Math. Comp. , vol.34 , Issue.150 , pp. 499-514
    • Shanno, D.F.1
  • 98
    • 0019623665 scopus 로고
    • Computational Experience with Methods for Estimating Sparse Hessians for Nonlinear Optimization
    • Oct.
    • Shanno, D. F., "Computational Experience with Methods for Estimating Sparse Hessians for Nonlinear Optimization," JOTA, 35(2), 183-193 (Oct. 1981).
    • (1981) , vol.35 , Issue.2 , pp. 183-193
    • Shanno, D.F.1
  • 99
    • 0346650318 scopus 로고
    • Trust Region Methods for Unconstrained Optimization
    • Nonlinear Optimization-1981 (M. J. D. Powell, Ed.), Academic Press, London
    • Sorensen, D. C., "Trust Region Methods for Unconstrained Optimization," in Nonlinear Optimization-1981 (M. J. D. Powell, Ed.), Academic Press, London, 1981, p. 29.
    • (1981) , pp. 29
    • Sorensen, D.C.1
  • 100
    • 0002912764 scopus 로고
    • A Modification of Davidon's Method to Accept Difference Approximations of Derivatives
    • Stewart, G. W., "A Modification of Davidon's Method to Accept Difference Approximations of Derivatives," JACM, 14, 72-83 (1967).
    • (1967) , vol.14 , pp. 72-83
    • Stewart, G.W.1
  • 101
    • 0040580504 scopus 로고
    • Computing Finite-Difference Approximations to Derivatives for Numerical Optimization
    • Stanford Systems Optimization Lab. Tech. Rep.
    • Gill, P. E., W. Murray, M. A. Saunders, and M. H. Wright, "Computing Finite-Difference Approximations to Derivatives for Numerical Optimization," Stanford Systems Optimization Lab. Tech. Rep. SOL80-6, Palo Alto, CA, (1980).
    • (1980)
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3    Wright, M.H.4
  • 102
    • 0003883339 scopus 로고
    • Applied Nonlinear Programming
    • McGraw-Hill, New York
    • Himmelblau, D. M., Applied Nonlinear Programming, McGraw-Hill, New York, 1972, p. 190.
    • (1972) , pp. 190
    • Himmelblau, D.M.1
  • 103
    • 84960683819 scopus 로고
    • Numerical Experience with Algorithms for Unconstrained Minimization
    • Numerical Methods for Non-Linear Optimization (F. A. Lootsma, Ed.), Academic, New York, Chap. 5
    • Sargent, R. W. H., and D. J. Sebastian, "Numerical Experience with Algorithms for Unconstrained Minimization," in Numerical Methods for Non-Linear Optimization (F. A. Lootsma, Ed.), Academic, New York, 1971, Chap. 5, p. 45.
    • (1971) , pp. 45
    • Sargent, R.W.H.1    Sebastian, D.J.2
  • 104
    • 0016587052 scopus 로고
    • Computational Efficiency in Structural Optimization
    • Carpenter, W. C., and E. A. Smith, "Computational Efficiency in Structural Optimization," Eng. Optimization, 1(3), 169-188 (1975).
    • (1975) Eng. Optimization , vol.1 , Issue.3 , pp. 169-188
    • Carpenter, W.C.1    Smith, E.A.2
  • 105
    • 84976749713 scopus 로고
    • On Reporting Computational Experiments with Mathematical Software
    • Crowder, H., R. S. Dembo, and J. M. Mulvey, "On Reporting Computational Experiments with Mathematical Software," ACM Trans. Math. Software, 5(2), 198-203 (1979).
    • (1979) , vol.5 , Issue.2 , pp. 198-203
    • Crowder, H.1    Dembo, R.S.2    Mulvey, J.M.3
  • 106
    • 0346149537 scopus 로고
    • On the Comparative Evaluation of Algorithms for Mathematical Programming Problems
    • Nonlinear Programming, Vol. 3 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York
    • Miele, A., and S. Gonzalez, "On the Comparative Evaluation of Algorithms for Mathematical Programming Problems," in Nonlinear Programming, Vol. 3 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York, 1978, pp. 337-359.
    • (1978) , pp. 337-359
    • Miele, A.1    Gonzalez, S.2
  • 107
    • 0016027933 scopus 로고
    • A Comparison of Numerical Optimization Methods for Engineering Design
    • Eason, E. D., and R. G. Fenton, "A Comparison of Numerical Optimization Methods for Engineering Design," J. Eng. Ind. Trans. ASME, 96(1), 196-200 (1974).
    • (1974) J. Eng. Ind. Trans. ASME , vol.96 , Issue.1 , pp. 196-200
    • Eason, E.D.1    Fenton, R.G.2
  • 108
    • 0040518508 scopus 로고
    • A Comparative Study of Nonlinear Programming Codes
    • Tech. Rep. 320-2949, IBM New York Scientific Center
    • Colville, A. R., "A Comparative Study of Nonlinear Programming Codes," Tech. Rep. 320-2949, IBM New York Scientific Center, (1968).
    • (1968)
    • Colville, A.R.1
  • 109
    • 2042517204 scopus 로고
    • A Course in Process Design
    • MIT Press, Cambridge, MA
    • Sherwood, T. K., A Course in Process Design, MIT Press, Cambridge, MA, 1963, p. 84.
    • (1963) , pp. 84
    • Sherwood, T.K.1
  • 110
    • 0346070811 scopus 로고
    • Comments on the Possibility of Cycling with the Simplex Method
    • Gass, S. I., "Comments on the Possibility of Cycling with the Simplex Method," Oper. Res., 27(4), 848-852 (1979).
    • (1979) Oper. Res. , vol.27 , Issue.4 , pp. 848-852
    • Gass, S.I.1
  • 111
    • 0003738509 scopus 로고
    • Operations Research: Principles and Practice
    • 2nd ed., Wiley, New York
    • Ravindran, A., D. T. Phillips and J. J. Solberg, Operations Research: Principles and Practice, 2nd ed., Wiley, New York, (1987).
    • (1987)
    • Ravindran, A.1    Phillips, D.T.2    Solberg, J.J.3
  • 112
    • 34347372152 scopus 로고    scopus 로고
    • Linear Programming Software Survey
    • Dec.
    • Fourer, R., "Linear Programming Software Survey," OR/MS Today, 30, 34-43 (Dec. 2003).
    • (2003) , vol.30 , pp. 34-43
    • Fourer, R.1
  • 113
    • 0003730982 scopus 로고
    • GAMS: A User's Guide
    • Scientific Press, Redwood City, CA
    • Brooke, A., D. Kendrick, and A Meeraus, GAMS: A User's Guide, Scientific Press, Redwood City, CA, (1988).
    • (1988)
    • Brooke, A.1    Kendrick, D.2    Meeraus, A.3
  • 114
    • 0020767250 scopus 로고
    • Modelling Languages versus Matrix Generators for Linear Programming
    • Fourer, R., "Modelling Languages versus Matrix Generators for Linear Programming," ACM Trans. Math Software, 9, 143-183 (1983).
    • (1983) ACM Trans. Math Software , vol.9 , pp. 143-183
    • Fourer, R.1
  • 115
    • 0001415052 scopus 로고
    • A Modeling Language for Mathematical Programming
    • Fourer, R., D. M. Gay, and B. W. Kernighan, "A Modeling Language for Mathematical Programming," Manage. Sci., 36(5), 519-554 (1990).
    • (1990) Manage. Sci. , vol.36 , Issue.5 , pp. 519-554
    • Fourer, R.1    Gay, D.M.2    Kernighan, B.W.3
  • 116
    • 0038898443 scopus 로고    scopus 로고
    • Optimization on the Internet
    • Oct.
    • Czyzyk J., J. H. Owen, and S. J. Wright, "Optimization on the Internet," OR/MS Today, 24, 48-52 (Oct. 1997).
    • (1997) , vol.24 , pp. 48-52
    • Czyzyk, J.1    Owen, J.H.2    Wright, S.J.3
  • 117
    • 0003714659 scopus 로고
    • Optimization Software Guide
    • SIAM Publications, Philadelphia, PA
    • More, J. J., and S. J. Wright, Optimization Software Guide, SIAM Publications, Philadelphia, PA, (1993).
    • (1993)
    • More, J.J.1    Wright, S.J.2
  • 118
    • 0000564361 scopus 로고
    • A Polynomial Algorithm in Linear Programming
    • Khachian, L. G., "A Polynomial Algorithm in Linear Programming," Soviet Math. Dokl., 20(1), 191-194 (1979).
    • (1979) Soviet Math. Dokl. , vol.20 , Issue.1 , pp. 191-194
    • Khachian, L.G.1
  • 119
    • 51249181779 scopus 로고
    • A New Polynomial Time Algorithm for Linear Programming
    • Karmarkar, N. K., "A New Polynomial Time Algorithm for Linear Programming," Combinatorica, 4, 373-395 (1984).
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmarkar, N.K.1
  • 120
    • 84889303261 scopus 로고    scopus 로고
    • LINDO: API: Software Review
    • Dec.
    • Felt, A., "LINDO: API: Software Review," OR/MS Today, 29, 58-60 (Dec. 2002).
    • (2002) , vol.29 , pp. 58-60
    • Felt, A.1
  • 121
    • 38949103881 scopus 로고
    • An Illustrated Guide to Linear Programming
    • McGraw-Hill, New York
    • Gass, S. I., An Illustrated Guide to Linear Programming, McGraw-Hill, New York, (1970).
    • (1970)
    • Gass, S.I.1
  • 122
    • 0041366641 scopus 로고
    • Studies in Linear Programming
    • North Holland/American Elsevier, New York
    • Salkin, H. M., and J. Saha, Studies in Linear Programming, North Holland/American Elsevier, New York, (1975).
    • (1975)
    • Salkin, H.M.1    Saha, J.2
  • 123
    • 0004055935 scopus 로고
    • Linear Programming
    • 4th ed., McGraw-Hill, New York
    • Gass, S., Linear Programming, 4th ed., McGraw-Hill, New York, (1975).
    • (1975)
    • Gass, S.1
  • 124
    • 84889286189 scopus 로고
    • Applied Optimization-A Survey
    • May
    • Gray, P., and C. Cullinan-James, "Applied Optimization-A Survey," Interfaces, 6(3), 24-41 (May 1976).
    • (1976) Interfaces , vol.6 , Issue.3 , pp. 24-41
    • Gray, P.1    Cullinan-James, C.2
  • 125
    • 0003909736 scopus 로고
    • Linear Programming and Extensions
    • Princeton University Press, Princeton, NJ
    • Dantzig, G. B., Linear Programming and Extensions, Princeton University Press, Princeton, NJ, (1963).
    • (1963)
    • Dantzig, G.B.1
  • 126
    • 0004173174 scopus 로고
    • Operations Research: Deterministic Optimization Models
    • Prentice-Hall, Englewood Cliffs, NJ
    • Murty, K. G., Operations Research: Deterministic Optimization Models, Prentice-Hall, Englewood Cliffs, NJ, (1995).
    • (1995)
    • Murty, K.G.1
  • 127
    • 0001659901 scopus 로고
    • Interior Point Methods for Linear Programming: Just Call Newton, Lagrange, and Fiacco and McCormick
    • Marsten, R. R., Subramanian, M. Saltzman, I. Lustig, and D. Shanno, "Interior Point Methods for Linear Programming: Just Call Newton, Lagrange, and Fiacco and McCormick," Interfaces, 20(4), 105-116 (1990).
    • (1990) Interfaces , vol.20 , Issue.4 , pp. 105-116
    • Marsten, R.R.1    Subramanian, M.2    Saltzman Lustig, I.3    Shanno, D.4
  • 128
    • 0002877326 scopus 로고
    • Progress in Linear Programming
    • Bixby, R. E., "Progress in Linear Programming," ORSA J. Comput., 6(1), 15-27 (1994).
    • (1994) ORSA J. Comput. , vol.6 , Issue.1 , pp. 15-27
    • Bixby, R.E.1
  • 129
    • 0006413712 scopus 로고
    • Exploring Interior Point Linear Programming: Algorithms and Software
    • MIT Press, Cambridge, MA
    • Arbel, A., Exploring Interior Point Linear Programming: Algorithms and Software, MIT Press, Cambridge, MA, (1993).
    • (1993)
    • Arbel, A.1
  • 130
    • 0003424568 scopus 로고
    • Linear Optimization and Extensions
    • Prentice-Hall, Englewood Cliffs, NJ
    • Fang, S.-C., and S. Puthenpura, Linear Optimization and Extensions, Prentice-Hall, Englewood Cliffs, NJ, 1993
    • (1993)
    • Fang, S.-C.1    Puthenpura, S.2
  • 131
    • 0001662422 scopus 로고
    • Interior Point Methods for Linear Programming: Computational State of the Art
    • Lustig, I. J., R. E. Marsten, and D. F. Shanno, "Interior Point Methods for Linear Programming: Computational State of the Art," ORSA J. Comput., 6(1), 1-14 (1994).
    • (1994) ORSA J. Comput. , vol.6 , Issue.1 , pp. 1-14
    • Lustig, I.J.1    Marsten, R.E.2    Shanno, D.F.3
  • 132
    • 0026923017 scopus 로고
    • Very Large Scale Linear Programming: A Case Study in Combining Interior Point and Simplex Methods
    • Bixby, R. E., J. W. Gregory, I. J. Lusting, R. E. Marsten, and D. F. Shanno, "Very Large Scale Linear Programming: A Case Study in Combining Interior Point and Simplex Methods," Operations Res., 40, 885-897 (1992).
    • (1992) Operations Res. , vol.40 , pp. 885-897
    • Bixby, R.E.1    Gregory, J.W.2    Lusting, I.J.3    Marsten, R.E.4    Shanno, D.F.5
  • 133
    • 0003775301 scopus 로고
    • Nonlinear Programming
    • 2nd ed., Wiley, New York
    • Bazaraa, M. S., D. Sherali, and C. M. Shetty, Nonlinear Programming: Theory and Algorithms, 2nd ed., Wiley, New York, (1993).
    • (1993)
    • Bazaraa, M.S.1    Sherali, D.2    Shetty, C.M.3
  • 134
    • 0003775298 scopus 로고
    • Nonlinear Programming
    • McGraw-Hill, New York
    • Mangasarian, O. L., Nonlinear Programming, McGraw-Hill, New York, (1969).
    • (1969)
    • Mangasarian, O.L.1
  • 135
    • 0003487947 scopus 로고
    • Optimization Theory for Large Systems
    • Macmillan, New York
    • Lasdon, L. S., Optimization Theory for Large Systems, Macmillan, New York, (1979).
    • (1979)
    • Lasdon, L.S.1
  • 136
    • 0000703172 scopus 로고
    • Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources
    • Everett, H., "Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources," Oper. Res., 11, 399-471 (1963).
    • (1963) Oper. Res. , vol.11 , pp. 399-471
    • Everett, H.1
  • 137
    • 0011302032 scopus 로고
    • Second Order Conditions for Constrained Optima
    • McCormick, G. P., "Second Order Conditions for Constrained Optima," SIAM J. Appl. Math., 15, 641-652 (1967).
    • (1967) SIAM J. Appl. Math. , vol.15 , pp. 641-652
    • McCormick, G.P.1
  • 138
    • 34250270048 scopus 로고
    • Exact Penalty Functions in Nonlinear Programming
    • Han, S. P., and O. L. Mangasarian, "Exact Penalty Functions in Nonlinear Programming," Math. Programming, 17, 251-269 (1979).
    • (1979) Math. Programming , vol.17 , pp. 251-269
    • Han, S.P.1    Mangasarian, O.L.2
  • 139
    • 0039563418 scopus 로고
    • Second Order Sufficient Conditions for Weak and Strict Constrained Minima
    • Fiacco, A. V., "Second Order Sufficient Conditions for Weak and Strict Constrained Minima," SIAM J. Appl. Math., 16, 105-108 (1968).
    • (1968) SIAM J. Appl. Math. , vol.16 , pp. 105-108
    • Fiacco, A.V.1
  • 140
    • 0000377794 scopus 로고
    • Finding Everett's Lagrange Multipliers by Linear Programming
    • Brooks, R., and A. Geoffrion, "Finding Everett's Lagrange Multipliers by Linear Programming," Oper. Res., 14, 1149-1153 (1966).
    • (1966) Oper. Res. , vol.14 , pp. 1149-1153
    • Brooks, R.1    Geoffrion, A.2
  • 141
    • 0000703172 scopus 로고
    • Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources
    • Everett, H., "Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources," Oper. Res., 11, 300-471 (1963).
    • (1963) Oper. Res. , vol.11 , pp. 300-471
    • Everett, H.1
  • 142
    • 0003928351 scopus 로고
    • Analytical Decision-Making in Engineering Design
    • Prentice-Hall, Englewood Cliffs, NJ
    • Siddall, J. N., Analytical Decision-Making in Engineering Design, Prentice-Hall, Englewood Cliffs, NJ, (1972).
    • (1972)
    • Siddall, J.N.1
  • 143
    • 84913711811 scopus 로고
    • Opti-Sep: Designer's Optimization Subroutines
    • McMaster University, Canada
    • Siddall, J. N., "Opti-Sep: Designer's Optimization Subroutines," McMaster University, Canada, (1971).
    • (1971)
    • Siddall, J.N.1
  • 144
    • 0040692356 scopus 로고
    • A Survey of Methods for Solving Constrained Minimization Problems via Unconstrained Minimization
    • Numerical Methods for Nonlinear Optimization (F. A. Lootsma, Ed.), Academic, New York
    • Lootsma, F. A., "A Survey of Methods for Solving Constrained Minimization Problems via Unconstrained Minimization," in Numerical Methods for Nonlinear Optimization (F. A. Lootsma, Ed.), Academic, New York, 1972, pp. 313-348.
    • (1972) , pp. 313-348
    • Lootsma, F.A.1
  • 145
    • 84889301239 scopus 로고
    • Subroutine ZERO
    • MELIB: A Subroutine Library for Mechanical Engineers,
    • Ragsdell, K. M., R. R. Root, and G. A. Gabriele, "Subroutine ZERO," in MELIB: A Subroutine Library for Mechanical Engineers, (1975).
    • (1975)
    • Ragsdell, K.M.1    Root, R.R.2    Gabriele, G.A.3
  • 146
    • 0037774984 scopus 로고
    • Computational Algorithm for the Sequential Unconstrained Minimization Technique for Nonlinear Programming
    • Fiacco, A. V., and G. P. McCormick, "Computational Algorithm for the Sequential Unconstrained Minimization Technique for Nonlinear Programming," Manag. Sci., 10, 601-617 (1964).
    • (1964) Manag. Sci. , vol.10 , pp. 601-617
    • Fiacco, A.V.1    McCormick, G.P.2
  • 147
    • 0003775303 scopus 로고
    • Nonlinear Programming
    • Wiley, New York
    • Fiacco, A. V., and G. P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Wiley, New York, (1968).
    • (1968)
    • Fiacco, A.V.1    McCormick, G.P.2
  • 148
    • 84933110622 scopus 로고
    • Extrapolation in Logarithmic Programming
    • Lootsma, F. A., "Extrapolation in Logarithmic Programming," Philips Res. Rep., 23, 108-116 (1968).
    • (1968) Philips Res. Rep. , vol.23 , pp. 108-116
    • Lootsma, F.A.1
  • 149
    • 0014700594 scopus 로고
    • Boundary Properties of Penalty Functions for Constrained Minimization
    • Lootsma, F. A., "Boundary Properties of Penalty Functions for Constrained Minimization," Philips Res. Rep. Suppl., 3, (1970).
    • (1970) Philips Res. Rep. , Issue.SUPPL. 3
    • Lootsma, F.A.1
  • 150
    • 84889294287 scopus 로고
    • Acceleration Techniques for Nonlinear Programming
    • Optimization (R. Fletcher, Ed.), Academic, New York
    • Fletcher, R., and A. P. McCann, "Acceleration Techniques for Nonlinear Programming," in Optimization (R. Fletcher, Ed.), Academic, New York, 1986, pp. 203-214.
    • (1986) , pp. 203-214
    • Fletcher, R.1    McCann, A.P.2
  • 151
    • 84974130697 scopus 로고
    • Ill-Conditioning in Barrier and Penalty Functions Arising in Constrained Nonlinear Programming
    • Proceedings of the Sixth Symposium on Mathematical Programming, Princeton, NJ
    • Murray, W., "Ill-Conditioning in Barrier and Penalty Functions Arising in Constrained Nonlinear Programming," in Proceedings of the Sixth Symposium on Mathematical Programming, Princeton, NJ, (1967).
    • (1967)
    • Murray, W.1
  • 152
    • 0003570491 scopus 로고
    • Hessian Matrices of Penalty Functions for Solving Constrained Optimization Problems
    • Lootsma, F. A., "Hessian Matrices of Penalty Functions for Solving Constrained Optimization Problems," Philips Res. Rep., 24, 322-331 (1969).
    • (1969) Philips Res. Rep. , vol.24 , pp. 322-331
    • Lootsma, F.A.1
  • 153
    • 84960798507 scopus 로고
    • Variational Methods for the Solution of Problems of Equilibrium and Vibrations
    • Courant, R., "Variational Methods for the Solution of Problems of Equilibrium and Vibrations," Bull. Am. Math. Soc., 49, 1-23 (1943).
    • (1943) Bull. Am. Math. Soc. , vol.49 , pp. 1-23
    • Courant, R.1
  • 154
    • 0000533741 scopus 로고
    • The Created Response Surface Technique for Optimizing Nonlinear Restrained Systems
    • Carroll, C. W., "The Created Response Surface Technique for Optimizing Nonlinear Restrained Systems," Oper. Res., 9, 169-184 (1961).
    • (1961) Oper. Res. , vol.9 , pp. 169-184
    • Carroll, C.W.1
  • 155
    • 0011698344 scopus 로고
    • The Sequential Unconstrained Minimization Technique for Nonlinear Programming, a Primal-Duel Method
    • Fiacco, A. V., and G. P. McCormick, "The Sequential Unconstrained Minimization Technique for Nonlinear Programming, a Primal-Duel Method," Manag. Sci., 10, 360-366 (1964).
    • (1964) Manag. Sci. , vol.10 , pp. 360-366
    • Fiacco, A.V.1    McCormick, G.P.2
  • 156
    • 0037774984 scopus 로고
    • Computational Algorithm for the Sequential Unconstrained Minimization Technique for Nonlinear Programming
    • Fiacco, A. V., and G. P. McCormick, "Computational Algorithm for the Sequential Unconstrained Minimization Technique for Nonlinear Programming," Manag. Sci., 10, 601-617 (1964).
    • (1964) Manag. Sci. , vol.10 , pp. 601-617
    • Fiacco, A.V.1    McCormick, G.P.2
  • 157
    • 0003775303 scopus 로고
    • Nonlinear Programming
    • Wiley, New York
    • Fiacco, A. V., and G. P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Wiley, New York, (1968).
    • (1968)
    • Fiacco, A.V.1    McCormick, G.P.2
  • 158
    • 0002578669 scopus 로고
    • Nonlinear Programming via Penalty Functions
    • Zangwill, W. I., "Nonlinear Programming via Penalty Functions," Manag. Sci., 13(5), 344-358 (1967).
    • (1967) Manag. Sci. , vol.13 , Issue.5 , pp. 344-358
    • Zangwill, W.I.1
  • 159
    • 77955666352 scopus 로고
    • Logarithmic Programming: A Method of Solving Nonlinear Programming Problems
    • Lootsma, F. A., "Logarithmic Programming: A Method of Solving Nonlinear Programming Problems," Philips Res. Rep., 22, 329-344 (1967).
    • (1967) Philips Res. Rep. , vol.22 , pp. 329-344
    • Lootsma, F.A.1
  • 160
    • 2342459977 scopus 로고
    • Constrained Optimization via Penalty Functions
    • Lootsma, F. A., "Constrained Optimization via Penalty Functions," Philips Res. Rep., 23, 408-423 (1968).
    • (1968) Philips Res. Rep. , vol.23 , pp. 408-423
    • Lootsma, F.A.1
  • 161
    • 84889463371 scopus 로고
    • A Survey of Methods for Solving Constrained-Minimization Problems via Unconstrained Minimization
    • Optimization and Design (M. Avriel, H. Rijckaert, and D. J. Wilde, Eds.), Prentice-Hall, Englewood Cliffs, NJ
    • Lootsma, F. A., "A Survey of Methods for Solving Constrained-Minimization Problems via Unconstrained Minimization," in Optimization and Design (M. Avriel, H. Rijckaert, and D. J. Wilde, Eds.), Prentice-Hall, Englewood Cliffs, NJ, 1973, pp. 88-118.
    • (1973) , pp. 88-118
    • Lootsma, F.A.1
  • 162
    • 34250456089 scopus 로고
    • Penalty Function versus Non-Penalty Function Methods for Constrained Nonlinear Programming Problems
    • McCormick, G. P., "Penalty Function versus Non-Penalty Function Methods for Constrained Nonlinear Programming Problems," Math. Prog., 1(2), 217-238 (1971).
    • (1971) Math. Prog. , vol.1 , Issue.2 , pp. 217-238
    • McCormick, G.P.1
  • 163
    • 4043055243 scopus 로고
    • An Efficient Algorithm for Minimizing Barrier and Penalty Functions
    • Lasdon, L. S., "An Efficient Algorithm for Minimizing Barrier and Penalty Functions," Math. Prog., 2(1), 65-106 (1972).
    • (1972) Math. Prog. , vol.2 , Issue.1 , pp. 65-106
    • Lasdon, L.S.1
  • 164
    • 0343783028 scopus 로고
    • Penalty-Function Methods
    • in Optimum Structural Design: Theory and Applications (R. H. Gallagher and O. C. Zienkiewicz, Eds.), Wiley, New York, Chap. 9
    • Moe, J., "Penalty-Function Methods," in Optimum Structural Design: Theory and Applications (R. H. Gallagher and O. C. Zienkiewicz, Eds.), Wiley, New York, 1973, Chap. 9.
    • (1973)
    • Moe, J.1
  • 165
    • 0041500672 scopus 로고
    • Penalty and Barrier Functions
    • Numerical Methods for Constrained Optimization (P. E. Gill and W. Murray, Eds.), Academic, New York
    • Ryan, D. M., "Penalty and Barrier Functions," in Numerical Methods for Constrained Optimization (P. E. Gill and W. Murray, Eds.), Academic, New York, 1974, pp. 175-190.
    • (1974) , pp. 175-190
    • Ryan, D.M.1
  • 166
    • 0003439473 scopus 로고
    • Optimization Methods for Engineering Design
    • Addison-Wesley, Reading, MA
    • Fox, R. L., Optimization Methods for Engineering Design, Addison-Wesley, Reading, MA, (1971).
    • (1971)
    • Fox, R.L.1
  • 167
    • 0003883339 scopus 로고
    • Applied Nonlinear Programming
    • McGraw-Hill, New York, Chap. 7
    • Himmelblau, D. M., Applied Nonlinear Programming, McGraw-Hill, New York, 1972, Chap. 7, p. 299.
    • (1972) , pp. 299
    • Himmelblau, D.M.1
  • 168
    • 0003742871 scopus 로고
    • Nonlinear Programming
    • Prentice-Hall, Englewood Cliffs, NJ
    • Avriel, M., Nonlinear Programming: Analysis and Methods, Prentice-Hall, Englewood Cliffs, NJ, (1976).
    • (1976)
    • Avriel, M.1
  • 169
    • 84889293056 scopus 로고
    • Compute II, a General Purpose Optimizer for Continuous Nonlinear Models-Description and User's Manual
    • Gulf Computer Sciences Incorporated, Houston, TX
    • Gulf Oil Corporation, "Compute II, a General Purpose Optimizer for Continuous Nonlinear Models-Description and User's Manual," Gulf Computer Sciences Incorporated, Houston, TX, (1972).
    • (1972)
    • Gulf Oil Corporation1
  • 170
    • 13644282260 scopus 로고
    • Program Package for Design Optimization
    • Department of Mechanical Engineering, State University of New York at Buffalo
    • Afimiwala, K. A., "Program Package for Design Optimization," Department of Mechanical Engineering, State University of New York at Buffalo, (1974).
    • (1974)
    • Afimiwala, K.A.1
  • 171
    • 84889299432 scopus 로고
    • The University of Liverpool Computer Laboratory: E04HAF, Numerical Algorithms Group
    • Document No. 737
    • Lill, S., The University of Liverpool Computer Laboratory: E04HAF, Numerical Algorithms Group, Document No. 737, (1974).
    • (1974)
    • Lill, S.1
  • 172
    • 84985427993 scopus 로고
    • Comparison of Some Penalty Function Based Optimization Procedures for the Synthesis of a Planar Truss
    • DeSilva, B. M. E., and G. N. C. Grant, "Comparison of Some Penalty Function Based Optimization Procedures for the Synthesis of a Planar Truss," Int. J. Numer. Methods Eng., 7(2), 155-173 (1973).
    • (1973) Int. J. Numer. Methods Eng. , vol.7 , Issue.2 , pp. 155-173
    • DeSilva, B.M.E.1    Grant, G.N.C.2
  • 173
    • 0003963453 scopus 로고
    • Selected Applications of Nonlinear Programming
    • Wiley, New York
    • Bracken, J., and G. P. McCormick, Selected Applications of Nonlinear Programming, Wiley, New York, (1968).
    • (1968)
    • Bracken, J.1    McCormick, G.P.2
  • 174
    • 0019041606 scopus 로고
    • Optimum Design of Air-Conditioned Buildings
    • Gupta, B. D., and S. S. Rao, "Optimum Design of Air-Conditioned Buildings," ASME J. Mech. Des., 102(3), 476-480 (1980).
    • (1980) ASME J. Mech. Des. , vol.102 , Issue.3 , pp. 476-480
    • Gupta, B.D.1    Rao, S.S.2
  • 175
    • 0019043935 scopus 로고
    • Application of External Distributions in the Design of Thermal Systems
    • Rao, S. S., and B. D. Gupta, "Application of External Distributions in the Design of Thermal Systems," ASME J. Mech. Des., 102(3), 481-491 (1980).
    • (1980) ASME J. Mech. Des. , vol.102 , Issue.3 , pp. 481-491
    • Rao, S.S.1    Gupta, B.D.2
  • 176
    • 0003775303 scopus 로고
    • Nonlinear Programming
    • Wiley, New York
    • Fiacco, A. V., and G. P. McCormick, Nonlinear Programming, Wiley, New York, (1968).
    • (1968)
    • Fiacco, A.V.1    McCormick, G.P.2
  • 177
    • 0003527507 scopus 로고
    • The Utility of Nonlinear Programming Algorithms
    • Ph.D. dissertation, Purdue University, 1977; available from University Microfilm, 300 N. Zeeb Road, Ann Arbor, MI, Document No. 781
    • Sandgren, E., "The Utility of Nonlinear Programming Algorithms," Ph.D. dissertation, Purdue University, 1977; available from University Microfilm, 300 N. Zeeb Road, Ann Arbor, MI, Document No. 781(3115).
    • (1977) , pp. 3115
    • Sandgren, E.1
  • 178
    • 0003768769 scopus 로고    scopus 로고
    • Practical Methods of Optimization
    • 2nd ed., Wiley, New York
    • Fletcher, R., Practical Methods of Optimization, 2nd ed., Wiley, New York, (2004).
    • (2004)
    • Fletcher, R.1
  • 179
    • 0003982971 scopus 로고    scopus 로고
    • Numerical Optimization
    • Springer Science, New York
    • Nocedal, J., and S. Wright, Numerical Optimization, Springer Science, New York, (1999).
    • (1999)
    • Nocedal, J.1    Wright, S.2
  • 180
    • 84889340063 scopus 로고    scopus 로고
    • Penalty-Barrier-Methods for Nonlinear Optimization: Implementation and Numerical Results
    • Report, Department of Mathematics, University of Bayreuth, Germany
    • Franz, J., M. Liepelt, and K. Schittkowski, "Penalty-Barrier-Methods for Nonlinear Optimization: Implementation and Numerical Results," Report, Department of Mathematics, University of Bayreuth, Germany.
    • Franz, J.1    Liepelt, M.2    Schittkowski, K.3
  • 181
    • 84889404861 scopus 로고    scopus 로고
    • http://www/unibayreuth.de/departments/math/_kschittkowski/software.htm.
  • 182
    • 84889274320 scopus 로고    scopus 로고
    • http://www.ece.northwestern.edu/OTC/.
  • 183
    • 84889327533 scopus 로고
    • OPTLIB: An Optimization Program Library
    • Purdue University, West Lafayette, IN
    • Gabriele, G. A., OPTLIB: An Optimization Program Library, Purdue University, West Lafayette, IN, (1979).
    • (1979)
    • Gabriele, G.A.1
  • 184
    • 0003896318 scopus 로고    scopus 로고
    • Constrained Optimization and Lagrange Multiplier Methods
    • Athena Scientific, Belmont, MA
    • Bertsekas, D. P., Constrained Optimization and Lagrange Multiplier Methods, Athena Scientific, Belmont, MA, (1996).
    • (1996)
    • Bertsekas, D.P.1
  • 185
    • 0043163919 scopus 로고
    • Nonlinear Programming Procedures and Design Optimization
    • Kowalik, J., "Nonlinear Programming Procedures and Design Optimization," Acta Polytech. Scand., 13, (1966).
    • (1966) Acta Polytech. Scand. , pp. 13
    • Kowalik, J.1
  • 186
    • 67949093751 scopus 로고
    • The Sequential Unconstrained Minimization Technique without Parameters
    • Fiacco, A. V., and G. P McCormick, "The Sequential Unconstrained Minimization Technique without Parameters," Oper. Res., 15, 820-827 (1967).
    • (1967) Oper. Res. , vol.15 , pp. 820-827
    • Fiacco, A.V.1    McCormick, P.G.2
  • 187
    • 5844307469 scopus 로고
    • Sequential Unconstrained Minimization Methods for Nonlinear Programming
    • Thesis, Northwestern University, Evanston, IL
    • Fiacco, A. V., "Sequential Unconstrained Minimization Methods for Nonlinear Programming," Thesis, Northwestern University, Evanston, IL, (1967).
    • (1967)
    • Fiacco, A.V.1
  • 188
    • 0001723141 scopus 로고
    • An Automatic Method for Finding the Greatest or Least Value of a Function
    • Rosenbrock, H. H., "An Automatic Method for Finding the Greatest or Least Value of a Function," Comput. J. 3, 175-184 (1960).
    • (1960) Comput. J. , vol.3 , pp. 175-184
    • Rosenbrock, H.H.1
  • 189
    • 0002466949 scopus 로고
    • Resolution of Mathematical Programming with Nonlinear Constraints by the Method of Centres
    • Nonlinear Programming (J. Abodie, Ed.), North-Holland, Amsterdam
    • Huard, P., "Resolution of Mathematical Programming with Nonlinear Constraints by the Method of Centres," in Nonlinear Programming (J. Abodie, Ed.), North-Holland, Amsterdam, 1967, pp. 207-219.
    • (1967) , pp. 207-219
    • Huard, P.1
  • 190
    • 84889423509 scopus 로고
    • Documentation for Program Comet, a Constrained Optimization Code
    • University of Texas, Austin, TX
    • Staha, R. L., "Documentation for Program Comet, a Constrained Optimization Code," University of Texas, Austin, TX, (1973).
    • (1973)
    • Staha, R.L.1
  • 191
    • 0016027511 scopus 로고
    • Convergence Rates of Quadratic Exterior Penalty-Function Methods for Solving Constrained Minimization Problems
    • Feb.
    • Lootsma, F. A., "Convergence Rates of Quadratic Exterior Penalty-Function Methods for Solving Constrained Minimization Problems," Philips Res. Rep., 29(1) (Feb. 1974).
    • (1974) Philips Res. Rep. , vol.29 , Issue.1
    • Lootsma, F.A.1
  • 192
    • 0016567142 scopus 로고
    • A Method of Multipliers for Mathematical Programming Problems with Equality and Inequality Constraints
    • JOTA
    • Schuldt, S. B., "A Method of Multipliers for Mathematical Programming Problems with Equality and Inequality Constraints," JOTA, 17(1/2), 155-162 (1975).
    • (1975) , vol.17 , Issue.1-2 , pp. 155-162
    • Schuldt, S.B.1
  • 193
  • 194
    • 0015727623 scopus 로고
    • A Dual Approach to Solving Nonlinear Programming Problems by Unconstrained Optimization
    • Rockafellar, R. T., "A Dual Approach to Solving Nonlinear Programming Problems by Unconstrained Optimization," Math. Prog., 5(3), 354-373 (1973).
    • (1973) Math. Prog. , vol.5 , Issue.3 , pp. 354-373
    • Rockafellar, R.T.1
  • 195
    • 0002380692 scopus 로고
    • A Method for Nonlinear Constraints in Minimization Problems
    • Optimization (R. Fletcher, Ed.), Academic, London
    • Powell, M. J. D., "A Method for Nonlinear Constraints in Minimization Problems," in Optimization (R. Fletcher, Ed.), Academic, London, 1969, pp. 283-298.
    • (1969) , pp. 283-298
    • Powell, M.J.D.1
  • 196
    • 0014604308 scopus 로고
    • Multiplier and Gradient Methods
    • Hestenes, M. R., "Multiplier and Gradient Methods," JOTA, 4(5), 303-320 (1969).
    • (1969) , vol.4 , Issue.5 , pp. 303-320
    • Hestenes, M.R.1
  • 197
    • 84889324288 scopus 로고
    • A New Result on Interpreting Lagrange Multipliers as Dual Variables
    • University of North Carolina, Chapel Hill, NC
    • Gould, F. J., and S. Howe, "A New Result on Interpreting Lagrange Multipliers as Dual Variables," Department of Statistics, University of North Carolina, Chapel Hill, NC, (1971).
    • (1971) Department of Statistics
    • Gould, F.J.1    Howe, S.2
  • 198
    • 0018492943 scopus 로고
    • The Computation of Lagrange-Multiplier Estimates for Constrained Minimization
    • Gill, P. E., and W. Murray, "The Computation of Lagrange-Multiplier Estimates for Constrained Minimization," Math. Prog., 17(1), 32-60 (1979).
    • (1979) Math. Prog. , vol.17 , Issue.1 , pp. 32-60
    • Gill, P.E.1    Murray, W.2
  • 199
    • 84889314925 scopus 로고
    • An Investigation of the Method of Multipliers
    • Ph.D. dissertations, Purdue University, West Lafayette
    • Root, R. R., "An Investigation of the Method of Multipliers," Ph.D. dissertations, Purdue University, West Lafayette, IN, Dec. (1977).
    • (1977)
    • Root, R.R.1
  • 200
    • 84889376486 scopus 로고    scopus 로고
    • On Penalty and Multiplier Methods for Constrained Minimization
    • Bertsekas, D. P., "On Penalty and Multiplier Methods for Constrained Minimization," in Nonlinear Programming, Vol. 2 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York 1975, pp. 165-192.
    • Bertsekas, D.P.1
  • 201
    • 84889476875 scopus 로고
    • Rate of Convergence of the Method of Multipliers with Inexact Minimization
    • Nonlinear Programming, Vol. 2 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York
    • Kort, B. W., "Rate of Convergence of the Method of Multipliers with Inexact Minimization," in Nonlinear Programming, Vol. 2 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York, 1975, pp. 193-214.
    • (1975) , pp. 193-214
    • Kort, B.W.1
  • 202
    • 0019040422 scopus 로고
    • Computational Enhancements of the Method of Multipliers
    • Root, R. R., and K. M. Ragsdell, "Computational Enhancements of the Method of Multipliers," ASME J. Mech. Des., 102(3), 517-523 (1980).
    • (1980) ASME J. Mech. Des. , vol.102 , Issue.3 , pp. 517-523
    • Root, R.R.1    Ragsdell, K.M.2
  • 203
    • 0014887730 scopus 로고
    • Differential Constraint Scaling in Penalty Function Optimization
    • Keefer, D. L., and X. X. Gottfried, "Differential Constraint Scaling in Penalty Function Optimization," AIIE Trans., 2(4), 281 (1970).
    • (1970) AIIE Trans. , vol.2 , Issue.4 , pp. 281
    • Keefer, D.L.1    Gottfried, X.X.2
  • 204
    • 0015573690 scopus 로고
    • Simpat: A Self-Bounding Direct Search Method for Optimization
    • Keefer, D. L., "Simpat: A Self-Bounding Direct Search Method for Optimization," I & EC Proc. Des. Develop., 12, 92 (1973).
    • (1973) I & EC Proc. Des. Develop. , vol.12 , Issue.92
    • Keefer, D.L.1
  • 205
    • 0016986026 scopus 로고
    • Optimal Design of a Class of Welded Structures Using Geometric Programming
    • Ragsdell, K. M., and D. T. Phillips, "Optimal Design of a Class of Welded Structures Using Geometric Programming," ASME J. Eng. Ind. Ser. B, 98(3), 1021-1025 (1976).
    • (1976) ASME J. Eng. Ind. Ser. B , vol.98 , Issue.3 , pp. 1021-1025
    • Ragsdell, K.M.1    Phillips, D.T.2
  • 206
    • 0345216346 scopus 로고
    • BIAS: A Nonlinear Programming Code in Fortran IV-Users Manual
    • Purdue Research Foundation, West Lafayette, IN, June
    • Root, R. R., and K. M. Ragsdell, "BIAS: A Nonlinear Programming Code in Fortran IV-Users Manual," Purdue Research Foundation, West Lafayette, IN, June (1976).
    • (1976)
    • Root, R.R.1    Ragsdell, K.M.2
  • 207
    • 0003270321 scopus 로고
    • Nonlinear Programming Codes: Information, Tests, Performance
    • Springer-Verlag, Berlin
    • Schittkowski, K., "Nonlinear Programming Codes: Information, Tests, Performance," Lecture Notes in Economics and Mathematical Systems, Vol. 183, Springer-Verlag, Berlin, (1980).
    • (1980) Lecture Notes in Economics and Mathematical Systems , vol.183
    • Schittkowski, K.1
  • 208
    • 84889382281 scopus 로고
    • ACDPAC: A Fortran IV Subroutine to Solve Differentiable Mathematical Programmes-Users Guide-Level 2.0
    • CORR75-26, Department of Combinatorics and Optimization, University of Waterloo, Ontario, Canada
    • Best, M. J., and A. T. Bowler, "ACDPAC: A Fortran IV Subroutine to Solve Differentiable Mathematical Programmes-Users Guide-Level 2.0," Res. Rep., CORR75-26, Department of Combinatorics and Optimization, University of Waterloo, Ontario, Canada/, (1978).
    • (1978) Res. Rep.
    • Best, M.J.1    Bowler, A.T.2
  • 209
    • 0016726258 scopus 로고
    • An Accelerated Conjugate Direction Method to Solve Linearly Constrained Minimization Problems
    • Best, M. J., and Ritter, K., "An Accelerated Conjugate Direction Method to Solve Linearly Constrained Minimization Problems," J. Computer Syst. Sci., 11(3), 295-322 (1975).
    • (1975) J. Computer Syst. Sci. , vol.11 , Issue.3 , pp. 295-322
    • Best, M.J.1    Ritter, K.2
  • 210
    • 0016510165 scopus 로고
    • A New Method for Nonlinearly Constrained Optimization
    • Newell, J. S., and D. M. Himmelblau, "A New Method for Nonlinearly Constrained Optimization," AIChE J., 21(3), 479-486 (1975).
    • (1975) AIChE J. , vol.21 , Issue.3 , pp. 479-486
    • Newell, J.S.1    Himmelblau, D.M.2
  • 211
    • 0347331935 scopus 로고
    • An Ideal Penalty Function for Constrained Optimization
    • Nonlinear Programming, Vol. 2 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York
    • Fletcher, R., "An Ideal Penalty Function for Constrained Optimization," in Nonlinear Programming, Vol. 2 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York, (1975).
    • (1975)
    • Fletcher, R.1
  • 212
    • 0004111753 scopus 로고
    • Numerical Methods for Constrained Optimization
    • Academic, New York
    • Gill, P. E., and W. Murray (Eds.), Numerical Methods for Constrained Optimization, Academic, New York, (1974).
    • (1974)
    • Gill, P.E.1    Murray, W.2
  • 213
    • 0000461851 scopus 로고
    • Approximate Synthesis of Four-Bar Linkages
    • Aug.
    • Freudenstein, F., "Approximate Synthesis of Four-Bar Linkages," Trans. ASME, 853-861 (Aug. 1955).
    • (1955) Trans. ASME , pp. 853-861
    • Freudenstein, F.1
  • 214
    • 0041347112 scopus 로고
    • The Numerical Solution of Algebraic Equations
    • Wiley, New York
    • Wait, R. The Numerical Solution of Algebraic Equations, Wiley, New York, (1979).
    • (1979)
    • Wait, R.1
  • 215
    • 0003421928 scopus 로고
    • Process Flowsheeting
    • Cambridge University Press, Cambridge, England
    • Westerberg, A. W., H. P. Hutchinson, R. L. Motard, and P. Winter, Process Flowsheeting, Cambridge University Press, Cambridge, England, (1979).
    • (1979)
    • Westerberg, A.W.1    Hutchinson, H.P.2    Motard, R.L.3    Winter, P.4
  • 216
    • 84910571718 scopus 로고
    • A Review of Methods for Solving Nonlinear Algebraic Equations
    • Foundations of Computer Aided Process Design, Vol. 1 (R. S. H. Mah and W. D. Seider, Eds.) Engineering Foundation, New York
    • Sargent, R. W. H., "A Review of Methods for Solving Nonlinear Algebraic Equations," in Foundations of Computer Aided Process Design, Vol. 1 (R. S. H. Mah and W. D. Seider, Eds.) Engineering Foundation, New York, 1981, pp. 27-76.
    • (1981) , pp. 27-76
    • Sargent, R.W.H.1
  • 217
    • 0043061009 scopus 로고
    • Nonlinear Optimization Techniques
    • ICI Monograph No. 5, Oliver & Boyd, London
    • Box, M. J., D. Davies, and W. H. Swann, Nonlinear Optimization Techniques, ICI Monograph No. 5, Oliver & Boyd, London, (1969).
    • (1969)
    • Box, M.J.1    Davies, D.2    Swann, W.H.3
  • 218
    • 0001053846 scopus 로고
    • Nonlinear Programming with the Aid of a Multiple Gradient Summation Technique
    • Klingman, W. R., and D. M. Himmelblau, "Nonlinear Programming with the Aid of a Multiple Gradient Summation Technique," JACM, 11, 400-415 (1964).
    • (1964) , vol.11 , pp. 400-415
    • Klingman, W.R.1    Himmelblau, D.M.2
  • 219
    • 0004111753 scopus 로고
    • Numerical Methods for Constrained Optimization
    • Academic, London
    • Gill, P. E., and W. Murray (Eds.), Numerical Methods for Constrained Optimization, Academic, London, (1974).
    • (1974)
    • Gill, P.E.1    Murray, W.2
  • 220
    • 0002606725 scopus 로고
    • A New Method of Constrained Optimization and a Comparison with Other Methods
    • Box, M. J., "A New Method of Constrained Optimization and a Comparison with Other Methods," Computer J., 8, 42-52 (1965).
    • (1965) Computer J. , vol.8 , pp. 42-52
    • Box, M.J.1
  • 221
    • 84889417479 scopus 로고
    • Optimization of Multiple Response Simulation Models
    • University of Notre Dame, Final Report, ONR-Contract N00014-76-C-1021, Oct.
    • Biles, W. E., "Optimization of Multiple Response Simulation Models," University of Notre Dame, Final Report, ONR-Contract N00014-76-C-1021, Oct. 31, (1978).
    • (1978) , pp. 31
    • Biles, W.E.1
  • 222
    • 0001614474 scopus 로고
    • A Discussion of Random Methods for Seeking Maxima
    • Brooks, S. H., "A Discussion of Random Methods for Seeking Maxima," Oper. Res., 6, 244-253 (1958).
    • (1958) Oper. Res. , vol.6 , pp. 244-253
    • Brooks, S.H.1
  • 223
    • 0043067906 scopus 로고
    • A Review of Minimization Techniques for Nonlinear Function
    • Spang, H. A., "A Review of Minimization Techniques for Nonlinear Function," SIAM Rev., 4, 343-365 (1962).
    • (1962) SIAM Rev. , vol.4 , pp. 343-365
    • Spang, H.A.1
  • 224
    • 0015650865 scopus 로고
    • Optimization by Direct Search and Systematic Reduction of the Size of Search Region
    • Luus, R., and T. H. I. Jaakola, "Optimization by Direct Search and Systematic Reduction of the Size of Search Region," AIChE J., 19, 760-766 (1973).
    • (1973) AIChE J. , vol.19 , pp. 760-766
    • Luus, R.1    Jaakola, T.H.I.2
  • 225
    • 0016980847 scopus 로고
    • An Examination of the Adaptive Random Search Technique
    • Heuckroth, M. W., J. L. Gaddy, and L. D. Gaines, "An Examination of the Adaptive Random Search Technique," AIChE J., 22, 744-750 (1976).
    • (1976) AIChE J. , vol.22 , pp. 744-750
    • Heuckroth, M.W.1    Gaddy, J.L.2    Gaines, L.D.3
  • 226
    • 0019214485 scopus 로고
    • Optimization of the Sulfuric Acid Process with a Flowsheet Simulator
    • Doering, F. J., and J. L. Gaddy, "Optimization of the Sulfuric Acid Process with a Flowsheet Simulator," Computers Chem. Eng., 4, 113-122 (1980).
    • (1980) Computers Chem. Eng. , vol.4 , pp. 113-122
    • Doering, F.J.1    Gaddy, J.L.2
  • 227
    • 0017914867 scopus 로고
    • The Solution of Steady State Chemical Engineering Optimization Problems Using a Random Search Algorithm
    • Goulcher, R., and J. J. Casares Long, "The Solution of Steady State Chemical Engineering Optimization Problems Using a Random Search Algorithm," Computers Chem. Eng., 2, 33-36 (1978).
    • (1978) Computers Chem. Eng. , vol.2 , pp. 33-36
    • Goulcher, R.1    Casares Long, J.J.2
  • 228
    • 84889299689 scopus 로고
    • Process Optimization with the Adaptive Randomly Directed Search
    • Selected Topics in Computer Aided Process Design and Analysis, CEP Symp. Ser., Vol. 214 (R. S. H. Mah and G. V. Reklaitis, Eds.), American Institute of Chemical Engineers, New York
    • Martin, D. L., and J. L. Gaddy, "Process Optimization with the Adaptive Randomly Directed Search," in Selected Topics in Computer Aided Process Design and Analysis, CEP Symp. Ser., Vol. 214 (R. S. H. Mah and G. V. Reklaitis, Eds.), American Institute of Chemical Engineers, New York, (1982).
    • (1982)
    • Martin, D.L.1    Gaddy, J.L.2
  • 229
    • 0007634366 scopus 로고
    • Adaptive Step Size Random Search
    • Schumer, M. A., and K. Steiglitz, "Adaptive Step Size Random Search," IEEE Trans., AC-13, 270-276 (1968).
    • (1968) IEEE Trans. , vol.AC-13 , pp. 270-276
    • Schumer, M.A.1    Steiglitz, K.2
  • 230
    • 0016424791 scopus 로고
    • Optimization Strategies in Adaptive Control: A Selective Survey
    • Jarvis, R. A., "Optimization Strategies in Adaptive Control: A Selective Survey," IEEE Trans. Syst. Man and Cybern., 5, 83-94 (1975).
    • (1975) IEEE Trans. Syst. Man and Cybern. , vol.5 , pp. 83-94
    • Jarvis, R.A.1
  • 231
    • 1842734800 scopus 로고
    • An Experimental Comparison of Three Random Searches
    • Numerical Methods for Nonlinear Optimization (F. A. Lootsma, Ed.), Academic, New York
    • Schrack, G., and N. Borowski, "An Experimental Comparison of Three Random Searches," in Numerical Methods for Nonlinear Optimization (F. A. Lootsma, Ed.), Academic, New York, (1972).
    • (1972)
    • Schrack, G.1    Borowski, N.2
  • 232
    • 0017025240 scopus 로고
    • Heuristic Combinatorial Optimization in the Kinematic Design of Mechanisms: Part 1: Theory
    • Lee, T. W., and F. Freudenstein, "Heuristic Combinatorial Optimization in the Kinematic Design of Mechanisms: Part 1: Theory," J. Engl. Ind. Trans. ASME, 1277-1280 (1976).
    • (1976) J. Engl. Ind. Trans. ASME , pp. 1277-1280
    • Lee, T.W.1    Freudenstein, F.2
  • 233
    • 85069361146 scopus 로고
    • Principles of a Heuristic Optimization Technique as an Aid in Design-An Overview
    • 80-DET-44 (Sept.
    • Datseris, P., "Principles of a Heuristic Optimization Technique as an Aid in Design-An Overview," ASME Tech. Paper, 80-DET-44 (Sept. 1980).
    • (1980) ASME Tech. Paper
    • Datseris, P.1
  • 234
    • 0017024516 scopus 로고
    • Heuristic Combinatorial Optimization in the Kinematic Design of Mechanisms, Part 2: Applications
    • Lee, T. W., and R. Freudenstein, "Heuristic Combinatorial Optimization in the Kinematic Design of Mechanisms, Part 2: Applications," J. Engl. Ind. Trans. ASME, 1281-1284 (1976).
    • (1976) J. Engl. Ind. Trans. ASME , pp. 1281-1284
    • Lee, T.W.1    Freudenstein, R.2
  • 235
    • 1442321845 scopus 로고
    • On Baysian Methods of Optimization
    • Towards Global Optimization (L. C. W. Dixon and G. P. Szego, Eds.), North-Holland, Amsterdam
    • Mockus, J., "On Baysian Methods of Optimization," in Towards Global Optimization (L. C. W. Dixon and G. P. Szego, Eds.), North-Holland, Amsterdam, (1975).
    • (1975)
    • Mockus, J.1
  • 236
    • 0010296482 scopus 로고
    • On Statistical Models for Multi-Modal Optimization
    • Zilinskas, A., "On Statistical Models for Multi-Modal Optimization," Math. Operationsforsh. Stat. Ser. Stat., 9, 255-266 (1978).
    • (1978) Math. Operationsforsh. Stat. Ser. Stat. , vol.9 , pp. 255-266
    • Zilinskas, A.1
  • 237
    • 34250276048 scopus 로고
    • Progressive Global Random Search of Continuous Functions
    • Devroye, L. P., "Progressive Global Random Search of Continuous Functions," Math Program., 15, 330-342 (1978).
    • (1978) Math Program. , vol.15 , pp. 330-342
    • Devroye, L.P.1
  • 238
    • 0001971618 scopus 로고
    • An Algorithm for Quadratic Programming
    • Frank, N., and P. Wolfe, "An Algorithm for Quadratic Programming," Naval Res. Log. Quart., 3, 95-110 (1956).
    • (1956) Naval Res. Log. Quart. , vol.3 , pp. 95-110
    • Frank, N.1    Wolfe, P.2
  • 239
    • 0003775305 scopus 로고
    • Nonlinear Programming
    • Prentice-Hall, Englewood Cliffs, NJ
    • Zangwill, W. I., Nonlinear Programming, Prentice-Hall, Englewood Cliffs, NJ, (1969).
    • (1969)
    • Zangwill, W.I.1
  • 240
    • 0001945554 scopus 로고
    • Convergence Theory in Nonlinear Programming
    • Integer and Nonlinear Programming (J. Abadie, Ed.), North-Holland, Amsterdam
    • Wolfe, P., "Convergence Theory in Nonlinear Programming," in Integer and Nonlinear Programming (J. Abadie, Ed.), North-Holland, Amsterdam, (1970).
    • (1970)
    • Wolfe, P.1
  • 241
    • 0000894063 scopus 로고
    • A Nonlinear Programming Technique for Optimization of Continuous Processing Systems
    • Griffith, R. E., and R. A. Stewart, "A Nonlinear Programming Technique for Optimization of Continuous Processing Systems," Manag. Sci., 7, 379-391 (1961).
    • (1961) Manag. Sci. , vol.7 , pp. 379-391
    • Griffith, R.E.1    Stewart, R.A.2
  • 242
    • 84889478323 scopus 로고
    • A Process Optimization Program for Nonlinear Systems, Pop II
    • 7090 H9 IBM UD21, SHARE General Program Library
    • Smith, H. V., "A Process Optimization Program for Nonlinear Systems, Pop II," 7090 H9 IBM UD21, SHARE General Program Library, (1965).
    • (1965)
    • Smith, H.V.1
  • 243
    • 84889372530 scopus 로고
    • Development and Testing of a Nonlinear Programming Algorithm
    • Rep. No. ATR-64 (7040)-2, Aerospace Corporation, June
    • Graves, G. W., "Development and Testing of a Nonlinear Programming Algorithm," Rep. No. ATR-64 (7040)-2, Aerospace Corporation, June (1964).
    • (1964)
    • Graves, G.W.1
  • 244
    • 84889356567 scopus 로고
    • Sortie Allocation by a Nonlinear Programming Model for Determining a Munitions Mix
    • Rep R-1411-DDPAE, Rand Corporation, Mar.
    • Clasen, R. J., G. W. Graves, and J. Y. Lu, "Sortie Allocation by a Nonlinear Programming Model for Determining a Munitions Mix," Rep R-1411-DDPAE, Rand Corporation, Mar. (1974).
    • (1974)
    • Clasen, R.J.1    Graves, G.W.2    Lu, J.Y.3
  • 245
    • 0020190760 scopus 로고
    • Nonlinear Optimization by Successive Linear Programming
    • Palacios-Gomez, F. E., L. Lasdon, and M. Engquist, "Nonlinear Optimization by Successive Linear Programming," Manag. Sci., 28(10), 1106-1120 (1982).
    • (1982) Manag. Sci. , vol.28 , Issue.10 , pp. 1106-1120
    • Palacios-Gomez, F.E.1    Lasdon, L.2    Engquist, M.3
  • 246
    • 0022145633 scopus 로고
    • An Improved Successive Linear Programming Algorithm
    • Zhang, J., N. H. Kim, and L. Lasdon, "An Improved Successive Linear Programming Algorithm," Manag. Sci., 31(10), 1312-1331 (1985).
    • (1985) Manag. Sci. , vol.31 , Issue.10 , pp. 1312-1331
    • Zhang, J.1    Kim, N.H.2    Lasdon, L.3
  • 247
    • 30244476724 scopus 로고
    • Nonlinear Programming Using a General Mathematical Programming System
    • Design and Implementation of Optimization Software (H. J. Greenberg, Ed.), Sijthoff and Noordhoff, Netherlands
    • Beale, E. M. L., "Nonlinear Programming Using a General Mathematical Programming System," in Design and Implementation of Optimization Software (H. J. Greenberg, Ed.), Sijthoff and Noordhoff, Netherlands, (1978).
    • (1978)
    • Beale, E.M.L.1
  • 248
    • 0019058487 scopus 로고
    • Survey of Nonlinear Programming Applications
    • Lasdon, L. S., and A. D. Warren, "Survey of Nonlinear Programming Applications," Oper. Res., 28, 1029-1073 (1980).
    • (1980) Oper. Res. , vol.28 , pp. 1029-1073
    • Lasdon, L.S.1    Warren, A.D.2
  • 249
    • 0022028451 scopus 로고
    • Successive Linear Programming at Exxon
    • Baker, T. E., and L. Lasdon, "Successive Linear Programming at Exxon," Manag. Sci., 31(3), 264-274 (1985).
    • (1985) Manag. Sci. , vol.31 , Issue.3 , pp. 264-274
    • Baker, T.E.1    Lasdon, L.2
  • 250
    • 84889316776 scopus 로고    scopus 로고
    • Dash Optimization, Englewood Cliffs, NJ
    • Dash Optimization, Englewood Cliffs, NJ, www.dashoptimization.com.
  • 251
    • 0001886949 scopus 로고
    • Studies of the Behavior of Recursion for the Pooling Problem
    • Dec.
    • Haverly, C. A., "Studies of the Behavior of Recursion for the Pooling Problem," SIGMAP Bull., 25, 19-28 (Dec. 1978).
    • (1978) SIGMAP Bull. , vol.25 , pp. 19-28
    • Haverly, C.A.1
  • 252
    • 0013534701 scopus 로고
    • Solving the Pooling Problem Using Generalized Reduced Gradient and Successive Linear Programming Algorithms
    • July
    • Lasdon, L. S., A. D. Warren, S. Sarkar, and F. E. Palacios-Gomez, "Solving the Pooling Problem Using Generalized Reduced Gradient and Successive Linear Programming Algorithms," SIGMAP Bull., 77, 9-15 (July 1979).
    • (1979) SIGMAP Bull. , vol.77 , pp. 9-15
    • Lasdon, L.S.1    Warren, A.D.2    Sarkar, S.3    Palacios-Gomez, F.E.4
  • 253
    • 0742318720 scopus 로고
    • The Simplex Method for Local Separable Programming
    • Recent Advances in Mathematical Programming (R. Graves and P. Wolfe, Eds.), McGraw-Hill, New York
    • Miller, C. E., "The Simplex Method for Local Separable Programming," in Recent Advances in Mathematical Programming (R. Graves and P. Wolfe, Eds.), McGraw-Hill, New York, (1963).
    • (1963)
    • Miller, C.E.1
  • 254
    • 84890245567 scopus 로고
    • Nonlinear Programming: Theory and Algorithms
    • 2nd ed., Wiley, New York
    • Bazaraa, M. S., H. D. Sherali, and C. M. Shetty, Nonlinear Programming: Theory and Algorithms, 2nd ed., Wiley, New York, (1993).
    • (1993)
    • Bazaraa, M.S.1    Sherali, H.D.2    Shetty, C.M.3
  • 255
    • 33846857660 scopus 로고
    • Advanced Algorithmic Features for General Mathematical Programming Systems
    • Integer and Nonlinear Programming (J. Abadie, Ed.), North-Holland, Amsterdam
    • Beale, E. M. L., "Advanced Algorithmic Features for General Mathematical Programming Systems," in Integer and Nonlinear Programming (J. Abadie, Ed.), North-Holland, Amsterdam, (1970).
    • (1970)
    • Beale, E.M.L.1
  • 256
    • 84889457881 scopus 로고
    • Applications of Separable Programming to Refinery Models
    • ORSA 36th National Meeting, Nov.
    • El Agizy, "Applications of Separable Programming to Refinery Models," ORSA 36th National Meeting, Nov. (1969).
    • (1969)
    • Agizy, E.1
  • 257
    • 0007942441 scopus 로고
    • Computing Tetraethyl-lead Requirements in a Linear Programming Format
    • Kawaratoni, T. K., R. J. Ullman, and G. B. Dantzig, "Computing Tetraethyl-lead Requirements in a Linear Programming Format," Oper. Res., 8, 24-29 (1960).
    • (1960) Oper. Res. , vol.8 , pp. 24-29
    • Kawaratoni, T.K.1    Ullman, R.J.2    Dantzig, G.B.3
  • 258
    • 0003965764 scopus 로고
    • Methods of Feasible Directions
    • Elsevier, Amsterdam
    • Zoutendijk, G., Methods of Feasible Directions, Elsevier, Amsterdam, (1960).
    • (1960)
    • Zoutendijk, G.1
  • 259
    • 0003503281 scopus 로고
    • Nonlinear Programming: A Unified Approach
    • Prentice-Hall, Englewood Cliffs, NJ
    • Zangwill, W. I., Nonlinear Programming: A Unified Approach, Prentice-Hall, Englewood Cliffs, NJ, (1969).
    • (1969)
    • Zangwill, W.I.1
  • 260
    • 0001720476 scopus 로고
    • On the Convergence of Gradient Methods Under Constraints
    • Wolfe, P., "On the Convergence of Gradient Methods Under Constraints," IBM J. Res. Develop., 16, 407-411 (1972).
    • (1972) IBM J. Res. Develop. , vol.16 , pp. 407-411
    • Wolfe, P.1
  • 261
    • 0001555742 scopus 로고
    • On the Convergence of Some Feasible Direction Algorithms for Nonlinear Programming
    • Topkis, D. M., and A. F. Veinott, "On the Convergence of Some Feasible Direction Algorithms for Nonlinear Programming," SIAM J. Control, 5, 268-279 (1967).
    • (1967) SIAM J. Control , vol.5 , pp. 268-279
    • Topkis, D.M.1    Veinott, A.F.2
  • 262
    • 5244292769 scopus 로고
    • The Convex Simplex Method
    • Zangwill, W. I., "The Convex Simplex Method," Manag. Sci. A, 14, 221-238 (1967).
    • (1967) Manag. Sci. A , vol.14 , pp. 221-238
    • Zangwill, W.I.1
  • 263
    • 0003364111 scopus 로고
    • Methods of Nonlinear Programming
    • Recent Advances in Mathematical Programming (R. L. Graves and P. Wolfe, Eds.), McGraw-Hill, New York, pp. 76-77
    • Wolfe, P., "Methods of Nonlinear Programming," in Recent Advances in Mathematical Programming (R. L. Graves and P. Wolfe, Eds.), McGraw-Hill, New York, pp. 76-77, (1963).
    • (1963)
    • Wolfe, P.1
  • 264
    • 0038656983 scopus 로고
    • Anti-Zig-Zagging by Bending
    • McCormick, G. P., "Anti-Zig-Zagging by Bending," Manag. Sci., 15, 315-320 (1969).
    • (1969) Manag. Sci. , vol.15 , pp. 315-320
    • McCormick, G.P.1
  • 265
    • 84890245567 scopus 로고
    • Nonlinear Programming: Theory and Algorithms
    • Wiley, New York
    • Bazaraa, M., and C. M. Shetty, Nonlinear Programming: Theory and Algorithms, Wiley, New York, (1979).
    • (1979)
    • Bazaraa, M.1    Shetty, C.M.2
  • 266
    • 84889372970 scopus 로고
    • Analysis and Comparison of the Reduced Gradient and the Convex Simplex Method for Convex Programming
    • paper presented at ORSA 41st National Meeting, New Orleans, Apr.
    • Hans-Tijan, T. Y., and W. I. Zangwill, "Analysis and Comparison of the Reduced Gradient and the Convex Simplex Method for Convex Programming," paper presented at ORSA 41st National Meeting, New Orleans, Apr. (1972).
    • (1972)
    • Hans-Tijan, T.Y.1    Zangwill, W.I.2
  • 267
    • 0017908843 scopus 로고
    • Large Scale Linearly Constrained Optimization
    • Murtagh, B. A., and M. A. Saunders, "Large Scale Linearly Constrained Optimization," Math. Prog., 14, 41-72 (1978).
    • (1978) Math. Prog. , vol.14 , pp. 41-72
    • Murtagh, B.A.1    Saunders, M.A.2
  • 268
    • 0002012034 scopus 로고
    • Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints
    • Optimization (R. Fletcher, Ed.), Academic, New York, Chapter 4
    • Abadie, J., and J. Carpentier, "Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints," in Optimization (R. Fletcher, Ed.), Academic, New York, 1969, Chapter 4.
    • (1969)
    • Abadie, J.1    Carpentier, J.2
  • 269
    • 0018529221 scopus 로고
    • A Method of Optimum Design
    • Johnson, R. C., "A Method of Optimum Design," ASME J. Mech. Des., 101, 667-673 (1979).
    • (1979) ASME J. Mech. Des. , vol.101 , pp. 667-673
    • Johnson, R.C.1
  • 270
    • 84889308498 scopus 로고
    • Foundation of Optimization Theory
    • Prentice-Hall, Englewood Cliffs, NJ
    • Beightler, C., and D. J. Wilde, Foundation of Optimization Theory, Prentice-Hall, Englewood Cliffs, NJ, (1967).
    • (1967)
    • Beightler, C.1    Wilde, D.J.2
  • 271
    • 84889420845 scopus 로고
    • Differential Calculus in Nonlinear Programming
    • See also Oper. Res. 13, 848-855 (1965)
    • Wilde, D. J., "Differential Calculus in Nonlinear Programming," Oper. Res., 10, 764-773 (1962). See also Oper. Res. 13, 848-855 (1965).
    • (1962) Oper. Res. , vol.10 , pp. 764-773
    • Wilde, D.J.1
  • 272
    • 84889312720 scopus 로고
    • Necessary Conditions for a Local Optimum without Prior Constraint Qualifications
    • Optimizing Methods in Statistics (J. S. Rustagi, Ed.), Academic, New York
    • Reklaitis, G. V., and D. J. Wilde, "Necessary Conditions for a Local Optimum without Prior Constraint Qualifications," in Optimizing Methods in Statistics (J. S. Rustagi, Ed.), Academic, New York, 1971, pp. 339-368.
    • (1971) , pp. 339-368
    • Reklaitis, G.V.1    Wilde, D.J.2
  • 273
    • 0017949075 scopus 로고
    • Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming
    • Lasdon, L. S., A. D. Waren, A. Jain, and M. Ratner, "Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming," ACM Trans. Math. Software, 4, 34-50 (1978).
    • (1978) ACM Trans. Math. Software , vol.4 , pp. 34-50
    • Lasdon, L.S.1    Waren, A.D.2    Jain, A.3    Ratner, M.4
  • 274
    • 0027059303 scopus 로고
    • Solving Large Sparse Nonlinear Programs Using GRG
    • Winter
    • Smith, S., and L. Lasdon, "Solving Large Sparse Nonlinear Programs Using GRG," ORSA J. Comput., 4, 3-15 (Winter 1992).
    • (1992) ORSA J. Comput. , vol.4 , pp. 3-15
    • Smith, S.1    Lasdon, L.2
  • 275
    • 34250288396 scopus 로고
    • Generalized Reduced Gradient Method as an Extension of Feasible Direction Methods
    • Smeers, Y., "Generalized Reduced Gradient Method as an Extension of Feasible Direction Methods," J. Opt. Theory Appl., 22, 209-226 (1977).
    • (1977) J. Opt. Theory Appl. , vol.22 , pp. 209-226
    • Smeers, Y.1
  • 276
    • 0003488909 scopus 로고
    • Introduction to Linear and Nonlinear Programming
    • 2nd ed., Addison-Wesley, Reading, MA
    • Luenberger, D. G., Introduction to Linear and Nonlinear Programming, 2nd ed., Addison-Wesley, Reading, MA, (1984).
    • (1984)
    • Luenberger, D.G.1
  • 277
    • 0004323381 scopus 로고
    • MINOS User's Guide
    • Tech. Rep. P3-20, Systems Optimization Laboratory, Stanford University, Stanford, CA, Feb.
    • Murtagh, B. A., and M. A. Saunders, "MINOS User's Guide," Tech. Rep. P3-20, Systems Optimization Laboratory, Stanford University, Stanford, CA, Feb. (1987).
    • (1987)
    • Murtagh, B.A.1    Saunders, M.A.2
  • 278
    • 0001922398 scopus 로고
    • Generalized Reduced Gradient Software for Linearly and Nonlinearly Constrained Problems
    • Design and Implementation of Optimization Software (H. Greenberg, Ed.), Sijthoff and Noordhoff, Holland
    • Lasdon, L. S., and A. D. Warren, "Generalized Reduced Gradient Software for Linearly and Nonlinearly Constrained Problems," in Design and Implementation of Optimization Software (H. Greenberg, Ed.), Sijthoff and Noordhoff, Holland, (1978).
    • (1978)
    • Lasdon, L.S.1    Warren, A.D.2
  • 279
    • 0000930401 scopus 로고
    • CONOPT-a Large Scale GRG Code
    • Spring
    • Drud, A., "CONOPT-a Large Scale GRG Code," ORSA J. Comput., 6 (Spring 1994).
    • (1994) ORSA J. Comput. , vol.6
    • Drud, A.1
  • 280
    • 84889474175 scopus 로고    scopus 로고
    • Mathematics and Computer Science Division, Argonne National Laboratories
    • Argonne, IL
    • Mathematics and Computer Science Division, Argonne National Laboratories, Argonne, IL, www.mcs.gov.
  • 281
    • 0017490816 scopus 로고
    • The Generalized Reduced Gradient Method: A Reliable Tool for Optimal Design
    • Gabriele, G. A., and K. M. Ragsdell, "The Generalized Reduced Gradient Method: A Reliable Tool for Optimal Design," ASME J. Eng. Ind., 99, 384-400 (1977).
    • (1977) ASME J. Eng. Ind. , vol.99 , pp. 384-400
    • Gabriele, G.A.1    Ragsdell, K.M.2
  • 282
    • 0008621673 scopus 로고    scopus 로고
    • Design and Use of the Microsoft Excel Solver
    • Sept.-Oct.
    • Fylstra, D., L. Lasdon, and A. Waven, "Design and Use of the Microsoft Excel Solver", Interfaces, 28, 29-55 (Sept.-Oct. 1998).
    • (1998) Interfaces , vol.28 , pp. 29-55
    • Fylstra, D.1    Lasdon, L.2    Waven, A.3
  • 284
    • 0003910662 scopus 로고    scopus 로고
    • Systematic Methods of Chemical Process Design
    • Prentice-Hall, Upper Saddle River, NJ
    • Biegler, L. T., and I. E. Grossmann, and A. W. Westerberg, Systematic Methods of Chemical Process Design, Prentice-Hall, Upper Saddle River, NJ, (1997).
    • (1997)
    • Biegler, L.T.1    Grossmann, I.E.2    Westerberg, A.W.3
  • 285
    • 0004102294 scopus 로고
    • A Simplicial Algorithm for Concave Programming
    • Ph.D. dissertation, Harvard University, Cambridge, MA
    • Wilson, R. B., "A Simplicial Algorithm for Concave Programming," Ph.D. dissertation, Harvard University, Cambridge, MA, (1963).
    • (1963)
    • Wilson, R.B.1
  • 286
    • 30344468973 scopus 로고
    • Numerical Methods
    • Nonlinear Programming (J. Abadie, Ed.), North-Holland, Amsterdam
    • Beale, E. M. L., "Numerical Methods," in Nonlinear Programming (J. Abadie, Ed.), North-Holland, Amsterdam, (1967).
    • (1967)
    • Beale, E.M.L.1
  • 287
    • 84909668646 scopus 로고
    • A Modified Newton Method for Optimization with Equality Constraints
    • Optimization (R. Fletcher, Ed.), Academic, New York
    • Bard, Y., and J. L. Greenstadt, "A Modified Newton Method for Optimization with Equality Constraints," in Optimization (R. Fletcher, Ed.), Academic, New York, (1969).
    • (1969)
    • Bard, Y.1    Greenstadt, J.L.2
  • 288
    • 0016987048 scopus 로고
    • Superlinearly Convergent Quasi-Newton Algorithms for Nonlinearly Constrained Optimization Problem
    • Garcia-Palomares, U. M., and O. L. Mangasarian, "Superlinearly Convergent Quasi-Newton Algorithms for Nonlinearly Constrained Optimization Problem," Math. Prog., 11, 1-13 (1976).
    • (1976) Math. Prog. , vol.11 , pp. 1-13
    • Garcia-Palomares, U.M.1    Mangasarian, O.L.2
  • 289
    • 0000373474 scopus 로고
    • Superlinearly Convergent Variable Metric Algorithms for General Nonlinear Programming Problems
    • Han, S. P., "Superlinearly Convergent Variable Metric Algorithms for General Nonlinear Programming Problems," Math. Prog., 11, 263-282 (1976).
    • (1976) Math. Prog. , vol.11 , pp. 263-282
    • Han, S.P.1
  • 290
    • 34250293137 scopus 로고
    • A Globally Convergent Method for Nonlinear Programming
    • Han, S. P., "A Globally Convergent Method for Nonlinear Programming," J. Opt. Theory Appl. 22, 297-309 (1977).
    • (1977) J. Opt. Theory Appl. , vol.22 , pp. 297-309
    • Han, S.P.1
  • 291
    • 0004259508 scopus 로고
    • A Fast Algorithm for Nonlinearly Constrained Optimization Calculations
    • Numerical Analysis, Dundee 1977 (G. A. Watson, Ed.), Lecture Notes in Mathematics No. 630, Springer-Verlag, New York
    • Powell, M. J. D., "A Fast Algorithm for Nonlinearly Constrained Optimization Calculations," in Numerical Analysis, Dundee 1977 (G. A. Watson, Ed.), Lecture Notes in Mathematics No. 630, Springer-Verlag, New York, (1978).
    • (1978)
    • Powell, M.J.D.1
  • 292
    • 0000406419 scopus 로고
    • Algorithms for Nonlinear Functions that Use Lagrangian Functions
    • Powell, M. J. D., "Algorithms for Nonlinear Functions that Use Lagrangian Functions," Math. Prog., 14, 224-248 (1978).
    • (1978) Math. Prog. , vol.14 , pp. 224-248
    • Powell, M.J.D.1
  • 293
    • 0042565363 scopus 로고
    • Some Examples of Cycling in Variable Metric Methods for Constrained Minimization
    • Chamberlain, R. M., "Some Examples of Cycling in Variable Metric Methods for Constrained Minimization," Math. Prog., 16, 378-383 (1979).
    • (1979) Math. Prog. , vol.16 , pp. 378-383
    • Chamberlain, R.M.1
  • 294
    • 84919052516 scopus 로고
    • On the Use of Exact Penalty Functions to Determine Step Length in Optimization Algorithms
    • Numerical Analysis, Dundee, 1979 (G. A.Watson, Ed.), Lecture Notes in Mathematics No. 773, Springer-Verlag, New York
    • Mayne, D. Q., "On the Use of Exact Penalty Functions to Determine Step Length in Optimization Algorithms," in Numerical Analysis, Dundee, 1979 (G. A.Watson, Ed.), Lecture Notes in Mathematics No. 773, Springer-Verlag, New York, (1980).
    • (1980)
    • Mayne, D.Q.1
  • 295
    • 2442646475 scopus 로고
    • The Convergence of Variable Metric Methods for Nonlinearly Constrained Optimization Calculations
    • Nonlinear Programming, Vol. 3 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson Eds.), Academic, New York
    • Powell, M. J. D., "The Convergence of Variable Metric Methods for Nonlinearly Constrained Optimization Calculations," in Nonlinear Programming, Vol. 3 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson Eds.), Academic, New York, (1978).
    • (1978)
    • Powell, M.J.D.1
  • 296
    • 0011259121 scopus 로고
    • Minimization Using Recursive Equality Quadratic Programming
    • Numerical Methods for Nonlinear Optimization (F. A. Lootsma, Ed.), Academic, New York
    • Biggs, M. C., "Minimization Using Recursive Equality Quadratic Programming," in Numerical Methods for Nonlinear Optimization (F. A. Lootsma, Ed.), Academic, New York, (1972).
    • (1972)
    • Biggs, M.C.1
  • 297
    • 84889271189 scopus 로고
    • Recursive Quadratic Programming Based on Penalty Functions for Constrained Minimization
    • Nonlinear Optimization: Theory and Algorithms (L. C. W. Dixon, E. Spedicato, and G. P. Szego, Eds.), Birkhauser, Boston
    • Bartholemew-Biggs, M. C., "Recursive Quadratic Programming Based on Penalty Functions for Constrained Minimization," in Nonlinear Optimization: Theory and Algorithms (L. C. W. Dixon, E. Spedicato, and G. P. Szego, Eds.), Birkhauser, Boston, (1980).
    • (1980)
    • Bartholemew-Biggs, M.C.1
  • 298
    • 0018915225 scopus 로고
    • A New Approach to Optimization of Chemical Processes
    • Berna, T. J., M. H. Locke, and A. W. Westerberg, "A New Approach to Optimization of Chemical Processes," AICHE J., 26, 37-43 (1980).
    • (1980) , vol.26 , pp. 37-43
    • Berna, T.J.1    Locke, M.H.2    Westerberg, A.W.3
  • 299
    • 84889311280 scopus 로고
    • Application of a Reduced Quadratic Programming Technique to Structural Design
    • Proc. Intern. Symp. Optimum Structural Design, Tucson, AZ, Oct., 8.5-8.12
    • Chao, N. H., S. J. Fenvers, and A. W. Westerberg, "Application of a Reduced Quadratic Programming Technique to Structural Design," in Proc. Intern. Symp. Optimum Structural Design, Tucson, AZ, Oct. 1981, pp. 8.5-8.12.
    • (1981)
    • Chao, N.H.1    Fenvers, S.J.2    Westerberg, A.W.3
  • 300
    • 84889383303 scopus 로고
    • Constrained Optimization Using Variable Metric Methods
    • Nonlinear Optimization: Theory and Algorithms (L. C. W. Dixon, E. Spedicato, and G. P. Szego, Eds.), Birkhauser, Boston
    • Powell, M. J. D., "Constrained Optimization Using Variable Metric Methods," in Nonlinear Optimization: Theory and Algorithms (L. C. W. Dixon, E. Spedicato, and G. P. Szego, Eds.), Birkhauser, Boston, (1980).
    • (1980)
    • Powell, M.J.D.1
  • 301
    • 84984129066 scopus 로고
    • A Computationally Compact Sufficient Condition for Constrained Minima
    • Reklaitis, G. V., and D. J. Wilde, "A Computationally Compact Sufficient Condition for Constrained Minima," Oper. Res., 17, 425-436 (1969).
    • (1969) Oper. Res. , vol.17 , pp. 425-436
    • Reklaitis, G.V.1    Wilde, D.J.2
  • 302
    • 0019559264 scopus 로고
    • Approximation Programming of Chemical Process with Q/LAP
    • Biegler, L. T., and R. R. Hughes, "Approximation Programming of Chemical Process with Q/LAP," Chem. Eng. Prog., 77, 76-83 (1981).
    • (1981) Chem. Eng. Prog. , vol.77 , pp. 76-83
    • Biegler, L.T.1    Hughes, R.R.2
  • 303
    • 84946968230 scopus 로고
    • QP-Based Method for Large Scale Nonlinearly Constrained Optimization
    • Nonlinear Programming, Vol. 4 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York
    • Gill, P. E., W. Murray, M. A. Saunders, and M. H. Wright, "QP-Based Method for Large Scale Nonlinearly Constrained Optimization," in Nonlinear Programming, Vol. 4 (O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Eds.), Academic, New York, (1981).
    • (1981)
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3    Wright, M.H.4
  • 304
    • 0005638765 scopus 로고
    • Reduction of Integer Polynomial Programming Problems to Zero-One Linear Programming Problems
    • Watters, L., "Reduction of Integer Polynomial Programming Problems to Zero-One Linear Programming Problems," Oper. R., 15(6), 1171-1174 (1967).
    • (1967) Oper. R. , vol.15 , Issue.6 , pp. 1171-1174
    • Watters, L.1
  • 305
    • 0001189913 scopus 로고
    • Converting 0-1 Polynomial Programming Problem to 0-1 Linear Program
    • Glover, F., and E. Woolsey, "Converting 0-1 Polynomial Programming Problem to 0-1 Linear Program," Oper. Res., 22, 180-182 (1974).
    • (1974) Oper. Res. , vol.22 , pp. 180-182
    • Glover, F.1    Woolsey, E.2
  • 306
    • 0003738509 scopus 로고
    • Operations Research: Principles and Practice
    • 2nd ed., Wiley, New York
    • Ravindran, A., D. T. Phillips, and J. J. Solberg, Operations Research: Principles and Practice, 2nd ed., Wiley, New York, (1987).
    • (1987)
    • Ravindran, A.1    Phillips, D.T.2    Solberg, J.J.3
  • 307
    • 0242358213 scopus 로고
    • Discrete Optimization
    • Prentice-Hall, Englewood Cliffs, NJ
    • Plane, D. R., and C. McMillan, Discrete Optimization, Prentice-Hall, Englewood Cliffs, NJ, (1971).
    • (1971)
    • Plane, D.R.1    McMillan, C.2
  • 308
    • 0004173174 scopus 로고
    • Operations Research-Deterministic Optimization Models
    • Prentice-Hall, Englewood Cliffs, NJ
    • Murty, K. G., Operations Research-Deterministic Optimization Models, Prentice-Hall, Englewood Cliffs, NJ, (1995).
    • (1995)
    • Murty, K.G.1
  • 309
    • 0004256022 scopus 로고    scopus 로고
    • Optimization in Operations Research
    • Prentice-Hall, Upper Saddle River, NJ
    • Rardin, R. L., Optimization in Operations Research, Prentice-Hall, Upper Saddle River, NJ, (1998).
    • (1998)
    • Rardin, R.L.1
  • 310
    • 0022208326 scopus 로고
    • Branch and Bound Experiments in Convex Nonlinear Integer Programming
    • Gupta, O. K., and A. Ravindran, "Branch and Bound Experiments in Convex Nonlinear Integer Programming," Manag. Sci., 31(12), 1553-1546 (1985).
    • (1985) Manag. Sci. , vol.31 , Issue.12 , pp. 1553-1546
    • Gupta, O.K.1    Ravindran, A.2
  • 311
    • 34948839798 scopus 로고    scopus 로고
    • Premium Solver Platform for Excel
    • June
    • Albright, C., "Premium Solver Platform for Excel," OR/MS Today, 28, 58-63 (June 2001).
    • (2001) OR/MS Today , vol.28 , pp. 58-63
    • Albright, C.1
  • 312
    • 0041308483 scopus 로고    scopus 로고
    • Spreadsheet Add-Ins for OR/MS
    • Aug.
    • Grossman, T. A., "Spreadsheet Add-Ins for OR/MS," OR/MS Today, 29, 46-51 (Aug. 2002).
    • (2002) OR/MS Today , vol.29 , pp. 46-51
    • Grossman, T.A.1
  • 313
    • 0039439926 scopus 로고
    • Broad Selection of MIP Software Packages Available
    • Apr.
    • Saltzman, M., "Broad Selection of MIP Software Packages Available," OR/MS Today, 21, 42-51 (Apr. 1994).
    • (1994) OR/MS Today , vol.21 , pp. 42-51
    • Saltzman, M.1
  • 314
    • 0043270803 scopus 로고
    • Linear and Discrete Optimization and Modeling Software: A Resource Handbook
    • Lionheart Publishing, Atlanta, GA
    • Sharda, R., Linear and Discrete Optimization and Modeling Software: A Resource Handbook, Lionheart Publishing, Atlanta, GA, (1993).
    • (1993)
    • Sharda, R.1
  • 315
    • 0003586442 scopus 로고
    • Integer and Combinatorial Optimization
    • Wiley, New York
    • Nemhauser, G. L., and L. A. Woolsey, Integer and Combinatorial Optimization, Wiley, New York, (1988).
    • (1988)
    • Nemhauser, G.L.1    Woolsey, L.A.2
  • 316
    • 49349131568 scopus 로고
    • Quadratic Programming Applications
    • McCarl, B. A., H. Moskowitz, and H. Furtan, "Quadratic Programming Applications," Omega, 5(1), 43-55 (1977).
    • (1977) Omega , vol.5 , Issue.1 , pp. 43-55
    • McCarl, B.A.1    Moskowitz, H.2    Furtan, H.3
  • 317
    • 0001136320 scopus 로고
    • The Simplex Method of Quadratic Programming
    • Wolfe, P., "The Simplex Method of Quadratic Programming," Econometrica, 27, 382-398 (1959).
    • (1959) Econometrica , vol.27 , pp. 382-398
    • Wolfe, P.1
  • 318
    • 0001644591 scopus 로고
    • Bimatrix Equilibrium Points and Mathematical Programming
    • Lemke, C. E., "Bimatrix Equilibrium Points and Mathematical Programming," Manag. Sci., 11, 681-689 (1965).
    • (1965) Manag. Sci. , vol.11 , pp. 681-689
    • Lemke, C.E.1
  • 319
    • 0019625553 scopus 로고
    • Computer Experiments on Quadratic Programming Algorithms
    • Ravindran, A., and H. Lee, "Computer Experiments on Quadratic Programming Algorithms," Eur. J. Oper. Res., 8(2), 166-174 (1981).
    • (1981) Eur. J. Oper. Res. , vol.8 , Issue.2 , pp. 166-174
    • Ravindran, A.1    Lee, H.2
  • 320
    • 49949131682 scopus 로고
    • Complementary Pivot Theory and Mathematical Programming
    • Cottle, R. W., and G. B. Dantzig, "Complementary Pivot Theory and Mathematical Programming," J. Linear Algebra Appl., 1, 105-125 (1968).
    • (1968) J. Linear Algebra Appl. , vol.1 , pp. 105-125
    • Cottle, R.W.1    Dantzig, G.B.2
  • 321
    • 84976518945 scopus 로고
    • A Computer Routine for Quadratic and Linear Programming Problems
    • Ravindran, A., "A Computer Routine for Quadratic and Linear Programming Problems," Commun. ACM, 15(9), 818-820 (1972).
    • (1972) Commun. ACM , vol.15 , Issue.9 , pp. 818-820
    • Ravindran, A.1
  • 322
    • 0002836518 scopus 로고
    • A Comparison of Primal Simplex and Complementary Pivot Methods for Linear Programming
    • Ravindran, A., "A Comparison of Primal Simplex and Complementary Pivot Methods for Linear Programming," Naval Res. Logistics Q., 20(1), 95-100 (1973).
    • (1973) Naval Res. Logistics Q. , vol.20 , Issue.1 , pp. 95-100
    • Ravindran, A.1
  • 323
    • 84889456375 scopus 로고
    • Computational Aspects of Lemke's Algorithm Applied to Linear Programs
    • Ravindran, A., "Computational Aspects of Lemke's Algorithm Applied to Linear Programs," OPSEARCH, 7(4), 241-262 (1970).
    • (1970) , vol.7 , Issue.4 , pp. 241-262
    • Ravindran, A.1
  • 324
    • 0018531984 scopus 로고
    • Applications of Mathematical Programming to Metal Cutting
    • Philipson, R. H., and A. Ravindran, "Applications of Mathematical Programming to Metal Cutting," Math. Prog. Study, 19, 116-134 (1979).
    • (1979) Math. Prog. Study , vol.19 , pp. 116-134
    • Philipson, R.H.1    Ravindran, A.2
  • 325
    • 0004279789 scopus 로고
    • The Machining of Metals
    • Prentice-Hall, Englewood Cliffs, NJ
    • Armarego, E. J. A., and R. H. Brown, The Machining of Metals, Prentice-Hall, Englewood Cliffs, NJ, (1969).
    • (1969)
    • Armarego, E.J.A.1    Brown, R.H.2
  • 326
    • 84885320186 scopus 로고
    • Application of Goal Programming to Machinability Data Optimization
    • Philipson, R. H., and A. Ravindran, "Application of Goal Programming to Machinability Data Optimization," J. Mech. Design: Trans. ASME, 100, 286-291 (1978).
    • (1978) J. Mech. Design: Trans. ASME , vol.100 , pp. 286-291
    • Philipson, R.H.1    Ravindran, A.2
  • 327
    • 0040625488 scopus 로고
    • An Efficient Goal Programming Algorithm Using Constraint Partitioning and Variable Elimination
    • Apr.
    • Arthur, J. L., and A. Ravindran, "An Efficient Goal Programming Algorithm Using Constraint Partitioning and Variable Elimination," Manag. Sci., 24(8), 867-868 (Apr. 1978).
    • (1978) Manag. Sci. , vol.24 , Issue.8 , pp. 867-868
    • Arthur, J.L.1    Ravindran, A.2
  • 328
    • 0019054651 scopus 로고
    • PAGP-Partitioning Algorithm for (Linear) Goal Programming Problems
    • Arthur, J. L., and A. Ravindran, "PAGP-Partitioning Algorithm for (Linear) Goal Programming Problems," ACM Trans. Math. Software, 6, 378-386 (1980).
    • (1980) ACM Trans. Math. Software , vol.6 , pp. 378-386
    • Arthur, J.L.1    Ravindran, A.2
  • 329
    • 0016520249 scopus 로고
    • Dynamic Multi-Attribute Models for Mixed Manpower Systems
    • Charnes, A., W. W. Cooper, and R. J. Niehaus, "Dynamic Multi-Attribute Models for Mixed Manpower Systems," Naval Res. Logistics Q., 22(2), 205-220 (1975).
    • (1975) Naval Res. Logistics Q. , vol.22 , Issue.2 , pp. 205-220
    • Charnes, A.1    Cooper, W.W.2    Niehaus, R.J.3
  • 330
    • 0019379776 scopus 로고
    • A Markovian Goal Programming Approach to Aggregate Manpower Planning
    • Zanakis, S. H., and M. W. Maret, "A Markovian Goal Programming Approach to Aggregate Manpower Planning," 32(1), 55-63 (1981).
    • (1981) , vol.32 , Issue.1 , pp. 55-63
    • Zanakis, S.H.1    Maret, M.W.2
  • 331
    • 8544262775 scopus 로고
    • Goal Programming in Forest Management
    • June
    • Schuler, A. T., H. H. Webster, and J. C. Meadows, "Goal Programming in Forest Management," J. Forestry, 75, 320-324, June (1977).
    • (1977) J. Forestry , vol.75 , pp. 320-324
    • Schuler, A.T.1    Webster, H.H.2    Meadows, J.C.3
  • 332
    • 0000079798 scopus 로고
    • Goal Programming in Land-use Planning
    • June
    • Dane, C. W., N. C. Meador, and J. B. White, "Goal Programming in Land-use Planning," J. Forestry, 75, 325-329, June (1977).
    • (1977) J. Forestry , vol.75 , pp. 325-329
    • Dane, C.W.1    Meador, N.C.2    White, J.B.3
  • 333
    • 0003506232 scopus 로고
    • Multiobjective Optimization in Water Resources Systems
    • Elsevier, Amsterdam
    • Haimes, Y. Y., W. A. Hall, and H. T. Freedman, Multiobjective Optimization in Water Resources Systems, Elsevier, Amsterdam, (1975).
    • (1975)
    • Haimes, Y.Y.1    Hall, W.A.2    Freedman, H.T.3
  • 334
    • 0017217075 scopus 로고
    • A Goal Interval Programming Model for Resource Allocation on a Marine Environmental Protection Program
    • Charnes, A., W. W. Cooper, J. Harrald, K. R. Karwan, and W. A. Wallace, "A Goal Interval Programming Model for Resource Allocation on a Marine Environmental Protection Program," J. Environ. Econ. Manag., 3, 347-362 (1976).
    • (1976) J. Environ. Econ. Manag. , vol.3 , pp. 347-362
    • Charnes, A.1    Cooper, W.W.2    Harrald, J.3    Karwan, K.R.4    Wallace, W.A.5
  • 335
    • 0003992369 scopus 로고
    • Management Goals and Accounting for Control
    • Rand-McNally, Chicago, IL
    • Ijiri, Y., Management Goals and Accounting for Control, Rand-McNally, Chicago, IL, (1965).
    • (1965)
    • Ijiri, Y.1
  • 336
    • 0020930466 scopus 로고
    • Academic Library Acquisitions Allocation Based on Multiple Collection Development Goals
    • Beilby, M. H., and T. H. Mott, Jr., "Academic Library Acquisitions Allocation Based on Multiple Collection Development Goals," Computers & OR, 10(4), 335-344 (1983).
    • (1983) Computers & OR , vol.10 , Issue.4 , pp. 335-344
    • Beilby, M.H.1    Mott Jr, T.H.2
  • 337
    • 0347895425 scopus 로고
    • A Goal Programming Model for Academic Resource Allocation
    • Lee, S. M., and E. R. Clayton, "A Goal Programming Model for Academic Resource Allocation," Manag. Sci., 17(8), 395-408 (1972).
    • (1972) Manag. Sci. , vol.17 , Issue.8 , pp. 395-408
    • Lee, S.M.1    Clayton, E.R.2
  • 338
    • 0004770163 scopus 로고
    • Optimizing the Portfolio Selection for Mutual Funds
    • Lee, S. M., and A. J. Lerro, "Optimizing the Portfolio Selection for Mutual Funds," J. Finance, 28(8), 1087-1101 (1973).
    • (1973) J. Finance , vol.28 , Issue.8 , pp. 1087-1101
    • Lee, S.M.1    Lerro, A.J.2
  • 339
    • 0021392840 scopus 로고
    • Goal Programming and Financial Planning Models for Highway Rehabilitation
    • Cook, W. D., "Goal Programming and Financial Planning Models for Highway Rehabilitation," J. Oper. Res. Soc., 35(3), 217-224 (1984).
    • (1984) J. Oper. Res. Soc. , vol.35 , Issue.3 , pp. 217-224
    • Cook, W.D.1
  • 340
    • 0039078957 scopus 로고
    • Multi-Criteria School Busing Models
    • Lee, S. M., and L. J. Moore, "Multi-Criteria School Busing Models," Manag. Sci., 23(7), 703-715 (1977).
    • (1977) Manag. Sci. , vol.23 , Issue.7 , pp. 703-715
    • Lee, S.M.1    Moore, L.J.2
  • 341
    • 0017922632 scopus 로고
    • Analysis of a Transhipment Problem with Multiple Conflicting Objectives
    • Moore, L. J., B. W. Taylor, and S. M. Lee, "Analysis of a Transhipment Problem with Multiple Conflicting Objectives," Comput. Oper. Res., 5, 39-46 (1978).
    • (1978) Comput. Oper. Res. , vol.5 , pp. 39-46
    • Moore, L.J.1    Taylor, B.W.2    Lee, S.M.3
  • 342
    • 84884646158 scopus 로고
    • Optimization Approach for Allocation of Funds for Maintenance and Preservation of the Existing Highway System
    • Sinha, K. C., M. Muthusubramanyam, and A. Ravindran, "Optimization Approach for Allocation of Funds for Maintenance and Preservation of the Existing Highway System," Transportation Res. Record, 826, 5-8 (1981).
    • (1981) Transportation Res. Record , vol.826 , pp. 5-8
    • Sinha, K.C.1    Muthusubramanyam, M.2    Ravindran, A.3
  • 343
    • 84889429754 scopus 로고
    • Goal Programming for Marketing Decisions: A Case Study
    • Lee, S. M., and R. Nicely, "Goal Programming for Marketing Decisions: A Case Study," J. Marketing, 38(1), 24-32 (1974).
    • (1974) J. Marketing , vol.38 , Issue.1 , pp. 24-32
    • Lee, S.M.1    Nicely, R.2
  • 344
    • 0019912229 scopus 로고
    • Multiple Goal Production and Logistics Planning in a Chemical and Pharmaceutical Company
    • Arthur, J. L., and K. D. Lawrence, "Multiple Goal Production and Logistics Planning in a Chemical and Pharmaceutical Company," Comput. Oper. Res., 9(2), 127-137 (1982).
    • (1982) Comput. Oper. Res. , vol.9 , Issue.2 , pp. 127-137
    • Arthur, J.L.1    Lawrence, K.D.2
  • 346
    • 0016927485 scopus 로고
    • A Multiple Goal Linear Programming Model for Coordinated and Logistics Planning
    • Lawrence, K. D., and J. J. Burbridge, "A Multiple Goal Linear Programming Model for Coordinated and Logistics Planning," Int. J. Prod. Res., 14(2), 215-222 (1976).
    • (1976) Int. J. Prod. Res. , vol.14 , Issue.2 , pp. 215-222
    • Lawrence, K.D.1    Burbridge, J.J.2
  • 347
    • 0015972689 scopus 로고
    • A Practical Approach to Production Scheduling
    • Lee, S. M., and J. L. Moore, "A Practical Approach to Production Scheduling," Production Inventory Manag., 15(1), 79-92 (1974).
    • (1974) Production Inventory Manag. , vol.15 , Issue.1 , pp. 79-92
    • Lee, S.M.1    Moore, J.L.2
  • 348
    • 0018061353 scopus 로고
    • A Goal Programming Approach to Multi-Period Production Line Scheduling
    • Lee, S. M., E. R. Clayton, and B. W. Taylor, "A Goal Programming Approach to Multi-Period Production Line Scheduling," Comput. Oper. Res., 5, 205-211 (1978).
    • (1978) Comput. Oper. Res. , vol.5 , pp. 205-211
    • Lee, S.M.1    Clayton, E.R.2    Taylor, B.W.3
  • 349
    • 0019541161 scopus 로고
    • A Multiple Objective Nurse Scheduling Model
    • Arthur, J. L., and A. Ravindran, "A Multiple Objective Nurse Scheduling Model," Inst. Ind. Eng. Trans., 13(1), 55-60 (1981).
    • (1981) Inst. Ind. Eng. Trans. , vol.13 , Issue.1 , pp. 55-60
    • Arthur, J.L.1    Ravindran, A.2
  • 350
    • 0021483782 scopus 로고
    • Scheduling Nurses Using Goal Programming Techniques
    • Musa, A. A., and U. Saxena, "Scheduling Nurses Using Goal Programming Techniques," Inst. Ind. Eng. Trans., 16(3), 216-221 (1984).
    • (1984) Inst. Ind. Eng. Trans. , vol.16 , Issue.3 , pp. 216-221
    • Musa, A.A.1    Saxena, U.2
  • 351
    • 0019615130 scopus 로고
    • A Mixed-Integer Goal Programming Model for Nursing Service Budgeting
    • Trivedi, V. M., "A Mixed-Integer Goal Programming Model for Nursing Service Budgeting," Oper. Res., 29(5), 1019-1034 (1981).
    • (1981) Oper. Res. , vol.29 , Issue.5 , pp. 1019-1034
    • Trivedi, V.M.1
  • 352
    • 0022889080 scopus 로고
    • Nonlinear Integer Goal Programming Models for Acceptance Sampling
    • Ravindran, A., W. Shin, J. L. Arthur, and H. Moskowitz, "Nonlinear Integer Goal Programming Models for Acceptance Sampling," Comput. Oper. Res., 13(6), 611-622 (1986).
    • (1986) Comput. Oper. Res. , vol.13 , Issue.6 , pp. 611-622
    • Ravindran, A.1    Shin, W.2    Arthur, J.L.3    Moskowitz, H.4
  • 353
    • 0019546140 scopus 로고
    • A Goal Programming Approach to a Type of Quality Control Problem
    • Sengupta, S., "A Goal Programming Approach to a Type of Quality Control Problem," J. Oper. Res. Soc., 32(2), 207-212 (1981).
    • (1981) J. Oper. Res. Soc. , vol.32 , Issue.2 , pp. 207-212
    • Sengupta, S.1
  • 354
    • 0003852945 scopus 로고
    • Goal Programming for Decision Analysis
    • Auerback Publishers, Philadelphia, PA
    • Lee, S. M., Goal Programming for Decision Analysis, Auerback Publishers, Philadelphia, PA, (1972).
    • (1972)
    • Lee, S.M.1
  • 355
    • 0003500028 scopus 로고
    • Goal Programming: Methodology and Applications
    • Kluwer, Norwell, MA
    • Schniederjan, M. J., Goal Programming: Methodology and Applications, Kluwer, Norwell, MA, (1994).
    • (1994)
    • Schniederjan, M.J.1
  • 356
    • 0000932189 scopus 로고
    • A Categorized Bibliographic Survey of Goal Programming
    • Zanakis, S. H., and S. K. Gupta, "A Categorized Bibliographic Survey of Goal Programming," Omega, 13(3), 211-222 (1985).
    • (1985) Omega , vol.13 , Issue.3 , pp. 211-222
    • Zanakis, S.H.1    Gupta, S.K.2
  • 357
    • 0004029690 scopus 로고
    • Goal Programming and Extensions
    • Health, Lexington, KY
    • Ignizio, J. P., Goal Programming and Extensions, Health, Lexington, KY, (1976).
    • (1976)
    • Ignizio, J.P.1
  • 358
    • 0003770184 scopus 로고
    • Multi Criteria Decision Making
    • McGraw-Hill, New York
    • Zeleny, M., Multi Criteria Decision Making, McGraw-Hill, New York, (1982).
    • (1982)
    • Zeleny, M.1
  • 359
    • 0004001439 scopus 로고
    • Decisions with Multiple Objectives: Preferences and Value Tradeofffs
    • Wiley, New York
    • Keeney, R. L., and H. Raiffa, Decisions with Multiple Objectives: Preferences and Value Tradeofffs, Wiley, New York, (1976).
    • (1976)
    • Keeney, R.L.1    Raiffa, H.2
  • 360
    • 0043270803 scopus 로고
    • Linear and Discrete Optimization and Modeling Software: A Resource Handbook
    • Lionheart, Atlanta, GA
    • Sharda, R., Linear and Discrete Optimization and Modeling Software: A Resource Handbook, Lionheart, Atlanta, GA, (1993).
    • (1993)
    • Sharda, R.1
  • 361
    • 0006704409 scopus 로고    scopus 로고
    • Nonlinear Programming Software Survey
    • OR/MS Today, June
    • Nash, S. G. "Nonlinear Programming Software Survey," OR/MS Today, 25 (June 1998).
    • (1998) , vol.25
    • Nash, S.G.1
  • 362
    • 34948839798 scopus 로고    scopus 로고
    • Premium Solver Platform for Excel
    • OR/MS Today June
    • Albright, C., "Premium Solver Platform for Excel," OR/MS Today, 29, 58-63 (June 2001).
    • (2001) , vol.29 , pp. 58-63
    • Albright, C.1
  • 363
    • 0041308483 scopus 로고    scopus 로고
    • Spreadsheet Add-ins for Excel
    • OR/MS Today,, Aug.
    • Grossman, T. A., "Spreadsheet Add-ins for Excel," OR/MS Today, 29, 46-51 (Aug. 2002).
    • (2002) , vol.29 , pp. 46-51
    • Grossman, T.A.1
  • 364
    • 0003730982 scopus 로고
    • GAMS: A User's Guide
    • Scientific Press, Redwood City, CA
    • Brooke, A., D. Kendrick, and A. Meerans, GAMS: A User's Guide, Scientific Press, Redwood City, CA (1988).
    • (1988)
    • Brooke, A.1    Kendrick, D.2    Meerans, A.3
  • 365
    • 0038566871 scopus 로고
    • Algebraic Modeling Languages on PC's
    • Sharda, R., and G. Rampla, "Algebraic Modeling Languages on PC's," OR/MS Today, 22, 58-63 (1995).
    • (1995) , vol.22 , pp. 58-63
    • Sharda, R.1    Rampla, G.2
  • 366
    • 0001415052 scopus 로고
    • A Modeling Language for Mathematical Programming
    • Fourer, R., R. M. Gay, and B. W. Kermighan, "A Modeling Language for Mathematical Programming," Manag. Sci., 36, 519-554 (1990).
    • (1990) Manag. Sci. , vol.36 , pp. 519-554
    • Fourer, R.1    Gay, R.M.2    Kermighan, B.W.3
  • 367
    • 0039846148 scopus 로고
    • MATLAB for Engineers
    • Addison-Wesley, Reading, MA
    • Brian, R., and M. Breiner, MATLAB for Engineers, Addison-Wesley, Reading, MA (1995).
    • (1995)
    • Brian, R.1    Breiner, M.2
  • 368
    • 84889497857 scopus 로고    scopus 로고
    • Matlab Software Review
    • Oct.
    • Hutchinson, J. J., "Matlab Software Review," OR/MS Today, 23 (Oct. 1996).
    • (1996) , vol.23
    • Hutchinson, J.J.1
  • 369
    • 84889499729 scopus 로고    scopus 로고
    • http://www.ece.northwestern.edu/OTC/.
  • 371
    • 28244496090 scopus 로고    scopus 로고
    • Benchmarking Optimization Software with Performance Profiles
    • Dolan, E. D., and J. J. Moré. "Benchmarking Optimization Software with Performance Profiles," Math. Prog., 91, 201-213 (2002).
    • (2002) Math. Prog. , vol.91 , pp. 201-213
    • Dolan, E.D.1    Moré, J.J.2
  • 372
    • 84993945828 scopus 로고
    • Design and Automation
    • Ragsdell, K. M., "Design and Automation," ASME J. Math. Design, 102, 424-429 (1980).
    • (1980) ASME J. Math. Design , vol.102 , pp. 424-429
    • Ragsdell, K.M.1
  • 373
    • 84889335883 scopus 로고
    • Progress in Engineering Optimization
    • American Society of Mechanical Engineers, New York
    • Mayne, R. W., and K. M Ragsdell, Progress in Engineering Optimization, American Society of Mechanical Engineers, New York (1981).
    • (1981)
    • Mayne, R.W.1    Ragsdell, K.M.2
  • 374
    • 84889447645 scopus 로고
    • A Proposal for the Establishment of an Optimization Software Testing Center
    • Nonlinear Optimization-1981 (M. J. D. Powell, Ed.)
    • Ragsdell, K. M., "A Proposal for the Establishment of an Optimization Software Testing Center," in Nonlinear Optimization-1981 (M. J. D. Powell, Ed.), 1981, p. 465.
    • (1981) , pp. 465
    • Ragsdell, K.M.1
  • 375
    • 34250285236 scopus 로고
    • Reporting Computational Experiments in Mathematical Programming
    • Crowder, H. P., R. S. Dembo, and J. M. Mulvey, "Reporting Computational Experiments in Mathematical Programming," Math. Prog., 15, 316-329 (1978).
    • (1978) Math. Prog. , vol.15 , pp. 316-329
    • Crowder, H.P.1    Dembo, R.S.2    Mulvey, J.M.3
  • 376
    • 84889299170 scopus 로고
    • Evidence of Fundamental Difficulties in Nonlinear Optimization Code Comparisons
    • Boulder, CO, Jan.
    • Eason, E. D., "Evidence of Fundamental Difficulties in Nonlinear Optimization Code Comparisons," Proc. U.S. Bur. Stands./Math. Programming Soc. Conf. Testing Validating Algorithms Software, Boulder, CO, Jan. (1981).
    • (1981) Proc. U.S. Bur. Stands.
    • Eason, E.D.1
  • 377
    • 0002606725 scopus 로고
    • A New Method of Constrained Optimization and a Comparison with Other Methods
    • Box, M. J., "A New Method of Constrained Optimization and a Comparison with Other Methods," Computer J., 8(1), 42-51 (1965).
    • (1965) Computer J. , vol.8 , Issue.1 , pp. 42-51
    • Box, M.J.1
  • 378
    • 0242693599 scopus 로고
    • A Comparison of Maximum Seeking Methods
    • Brooks, S. H., "A Comparison of Maximum Seeking Methods," J. Oper. Res., 7(4), 430-437 (1959).
    • (1959) J. Oper. Res. , vol.7 , Issue.4 , pp. 430-437
    • Brooks, S.H.1
  • 379
    • 70349483635 scopus 로고
    • A Comparison among Eight Known Optimizing Procedures
    • Recent Advances in Optimization Techniques (A. Lavi and W. Vogl, Eds.), Wiley, New York
    • Leon, A., "A Comparison among Eight Known Optimizing Procedures," in Recent Advances in Optimization Techniques (A. Lavi and W. Vogl, Eds.), Wiley, New York, 1966, pp. 23-42.
    • (1966) , pp. 23-42
    • Leon, A.1
  • 380
    • 0347457478 scopus 로고
    • Mathematical-Programming Methods-A Critical Review
    • Optimum Structural Design: Theory and Applications (R. H. Gallagher and O. C. Zienkiewicz, Eds.), Wiley, New York
    • Fletcher, R., "Mathematical-Programming Methods-A Critical Review," in Optimum Structural Design: Theory and Applications (R. H. Gallagher and O. C. Zienkiewicz, Eds.), Wiley, New York, 1973, pp. 51-77.
    • (1973) , pp. 51-77
    • Fletcher, R.1
  • 381
    • 0040518508 scopus 로고
    • A Comparative Study of Nonlinear Programming Codes
    • Tech. Rep. No. 320-2949, IBM New York Scientific Center, NY, June
    • Colville, A. R., "A Comparative Study of Nonlinear Programming Codes," Tech. Rep. No. 320-2949, IBM New York Scientific Center, NY, June (1968).
    • (1968)
    • Colville, A.R.1
  • 382
    • 0000894063 scopus 로고
    • A Nonlinear Programming Technique for Optimization of Continuous Processing Systems
    • Griffith, F. E., and R. A. Stewart, "A Nonlinear Programming Technique for Optimization of Continuous Processing Systems," Manag. Sci., 7, 379-392 (1961).
    • (1961) Manag. Sci. , vol.7 , pp. 379-392
    • Griffith, F.E.1    Stewart, R.A.2
  • 383
    • 0011334291 scopus 로고
    • A Guide to SUMT-Version
    • Vol. 4, Research Analysis Corporation, McLean, VA RAC-P-63
    • Mylander, W. C., R. L. Holmes, and G. P. McCormick, A Guide to SUMT-Version, Vol. 4, Research Analysis Corporation, McLean, VA RAC-P-63, (1964).
    • (1964)
    • Mylander, W.C.1    Holmes, R.L.2    McCormick, G.P.3
  • 384
    • 85024527213 scopus 로고
    • Validity of Colville's Time Standardization for Comparing Optimization Codes
    • Paper No. 77-DET-116, presented at the ASME Des. Eng. Tech. Conf., Chicago, Sept.
    • Eason, E. D., "Validity of Colville's Time Standardization for Comparing Optimization Codes," Paper No. 77-DET-116, presented at the ASME Des. Eng. Tech. Conf., Chicago, Sept. (1977).
    • (1977)
    • Eason, E.D.1
  • 385
    • 0016027933 scopus 로고
    • A Comparison of Numerical Optimization Methods for Engineering Design
    • Feb.
    • Eason, E. D., and R. G. Fenton, "A Comparison of Numerical Optimization Methods for Engineering Design," ASME J. Eng. Ind. Ser. B, 96(1), 196-200 (Feb. 1974).
    • (1974) ASME J. Eng. Ind. Ser. B , vol.96 , Issue.1 , pp. 196-200
    • Eason, E.D.1    Fenton, R.G.2
  • 386
    • 0003527507 scopus 로고
    • The Utility of Nonlinear Programming Algorithms
    • Ph.D. dissertation, Purdue University, Ann Arbor, MI, document no. 7813115, Dec.
    • Sandgren, E., "The Utility of Nonlinear Programming Algorithms," Ph.D. dissertation, Purdue University, Ann Arbor, MI, document no. 7813115, Dec. (1977).
    • (1977)
    • Sandgren, E.1
  • 387
    • 0019040479 scopus 로고
    • The Utility of Nonlinear Programming Algorithms: A Comparative Studey-Parts 1 and 2
    • July
    • Sandgren, E., and K. M. Ragsdell, "The Utility of Nonlinear Programming Algorithms: A Comparative Studey-Parts 1 and 2," ASME J. Mech. Des., 102(3), 540-551 (July 1980).
    • (1980) ASME J. Mech. Des. , vol.102 , Issue.3 , pp. 540-551
    • Sandgren, E.1    Ragsdell, K.M.2
  • 388
    • 84889319023 scopus 로고
    • A Set of Geometric Programming Test Problems and Their Solutions
    • Working Paper 87, Dept. Management Sci. University of Waterloo, Ontario, Canada, Dec.
    • Dembo, R. S., "A Set of Geometric Programming Test Problems and Their Solutions," Working Paper 87, Dept. Management Sci. University of Waterloo, Ontario, Canada, Dec. (1974).
    • (1974)
    • Dembo, R.S.1
  • 389
    • 70350184723 scopus 로고
    • A Statistical Review of the Sandgren-Ragsdell Comparative Study
    • Mathematical Programming Society COAL Meeting Proceedings, Boulder, CO, Jan. 5-6
    • Sandgren, E., "A Statistical Review of the Sandgren-Ragsdell Comparative Study," in Mathematical Programming Society COAL Meeting Proceedings, Boulder, CO, Jan. 5-6, 1981, pp. 72-90.
    • (1981) , pp. 72-90
    • Sandgren, E.1
  • 390
    • 84943347344 scopus 로고
    • Construction of Nonlinear Programming Test Problems
    • Feb.
    • Rosen, J. B., and S. Suzuki, "Construction of Nonlinear Programming Test Problems," ACM Commun. 8(2), Feb. 1965.
    • (1965) ACM Commun. , vol.8 , Issue.2
    • Rosen, J.B.1    Suzuki, S.2
  • 391
    • 0003270321 scopus 로고
    • Nonlinear Programming Codes: Information Tests, Performance
    • Springer-Verlag, New York
    • Schittkowski, K., Nonlinear Programming Codes: Information Tests, Performance, Lecture Notes in Economics and Mathematical Systems, Vol. 183, Springer-Verlag, New York, (1980).
    • (1980) Lecture Notes in Economics and Mathematical Systems , vol.183
    • Schittkowski, K.1
  • 392
    • 0004146123 scopus 로고
    • Nonlinear Programming Codes: Information, Tests, Performance
    • Lecture Notes in Economics and Mathematical Systems, Vol. 183, Springer-Verlag, New York
    • Schittkowski, K., Nonlinear Programming Codes: Information, Tests, Performance, Lecture Notes in Economics and Mathematical Systems, Vol. 183, Springer-Verlag, New York, (1980).
    • (1980)
    • Schittkowski, K.1
  • 393
    • 49449122896 scopus 로고
    • A Scaling Method for Priorities in Hierarchical Structures
    • Saaty, T. L., "A Scaling Method for Priorities in Hierarchical Structures," J. Math. Psych., 15, 234-281 (1977).
    • (1977) J. Math. Psych. , vol.15 , pp. 234-281
    • Saaty, T.L.1
  • 394
    • 22044433093 scopus 로고
    • Ranking of Nonlinear Optimization Codes According to Efficiency and Robustness
    • Konstrucktive Methoden der finiten nichtlinearen Optimierung (L. Collatz, G. Meinardus, and W. Wetterling, Eds.), Birkhauser, Basel, Switzerland
    • Lootsma, F. A., "Ranking of Nonlinear Optimization Codes According to Efficiency and Robustness," in Konstrucktive Methoden der finiten nichtlinearen Optimierung (L. Collatz, G. Meinardus, and W. Wetterling, Eds.), Birkhauser, Basel, Switzerland, 1980, pp. 157-158.
    • (1980) , pp. 157-158
    • Lootsma, F.A.1
  • 396
    • 0003835455 scopus 로고
    • Thermodynamics for Chemical Engineers
    • MIT Press, Cambridge, MA
    • Bett, K. E., J. S. Rawlinson, and G. Saville, Thermodynamics for Chemical Engineers, MIT Press, Cambridge, MA, (1975).
    • (1975)
    • Bett, K.E.1    Rawlinson, J.S.2    Saville, G.3
  • 397
    • 0004036526 scopus 로고
    • Separation Processes
    • McGraw-Hill, New York
    • King, J. C., Separation Processes, McGraw-Hill, New York, (1971).
    • (1971)
    • King, J.C.1
  • 398
    • 84889346714 scopus 로고
    • Optimal Planning for Product/Production Facility Studies (OPPLAN)
    • San Francisco, May
    • Scribner, B. F., and D. H. Berlau, "Optimal Planning for Product/Production Facility Studies (OPPLAN)," Proc. Amer. Inst. Ind. Eng. Conf., San Francisco, May 1979, pp. 383-387.
    • (1979) Proc. Amer. Inst. Ind. Eng. Conf. , pp. 383-387
    • Scribner, B.F.1    Berlau, D.H.2
  • 399
    • 84889465304 scopus 로고
    • ASCEND: Friendly Interactive Flowsheeting System
    • paper 25b, presented at AIChE Summer Meeting, Detroit, Aug.
    • Benjamin, D. R., M. H. Locke, and A. W. Westerberg, "ASCEND: Friendly Interactive Flowsheeting System," paper 25b, presented at AIChE Summer Meeting, Detroit, Aug. (1981).
    • (1981)
    • Benjamin, D.R.1    Locke, M.H.2    Westerberg, A.W.3
  • 400
    • 0018925520 scopus 로고
    • Process Optimization Using Linear Models
    • Kilkas, A. C., and H. P. Hutchison, "Process Optimization Using Linear Models, Computers Chem. Eng., 4, 39-48 (1980).
    • (1980) Computers Chem. Eng. , vol.4 , pp. 39-48
    • Kilkas, A.C.1    Hutchison, H.P.2
  • 401
    • 84889390675 scopus 로고
    • Linking Process Simulators to a Refinery Linear Programming Model
    • Computer Applications to Chemical Engineering (R. G. Squires and G. V. Reklaitis, Eds.), ACS Symposium Series Vol. 124, American Chemical Society, Washington, DC
    • Pollack, H. W., and W. D. Lieder, "Linking Process Simulators to a Refinery Linear Programming Model" in Computer Applications to Chemical Engineering (R. G. Squires and G. V. Reklaitis, Eds.), ACS Symposium Series Vol. 124, American Chemical Society, Washington, DC, (1980).
    • (1980)
    • Pollack, H.W.1    Lieder, W.D.2
  • 402
    • 0019700959 scopus 로고
    • Approximation Programming of Chemical Processes: Parts 1 and 2
    • Parker, A. L., and R. R. Hughes, "Approximation Programming of Chemical Processes: Parts 1 and 2," Computers Chem. Eng., 5, 123-131 (1981).
    • (1981) Computers Chem. Eng. , vol.5 , pp. 123-131
    • Parker, A.L.1    Hughes, R.R.2
  • 403
    • 0019559264 scopus 로고
    • Approximation Programming of Chemical Processes with Q/LAP
    • Biegler, L. T., and R. R. Hughes, "Approximation Programming of Chemical Processes with Q/LAP," Chem. Eng. Prog., 77, 76-83 (1981).
    • (1981) Chem. Eng. Prog. , vol.77 , pp. 76-83
    • Biegler, L.T.1    Hughes, R.R.2
  • 404
    • 0018651042 scopus 로고
    • A Hierarchical Strategy for Large Scale Process Calculations
    • McLane, M., M. K. Sood, and G. V. Reklaitis, "A Hierarchical Strategy for Large Scale Process Calculations," Computers Chem. Eng., 3, 383-394 (1979).
    • (1979) Computers Chem. Eng. , vol.3 , pp. 383-394
    • McLane, M.1    Sood, M.K.2    Reklaitis, G.V.3
  • 405
    • 0010853425 scopus 로고
    • Optimization and Industrial Experimentation
    • Wiley-Interscience, New York, Chap. 7
    • Biles, W. E., and J. J. Swain, Optimization and Industrial Experimentation, Wiley-Interscience, New York, 1980, Chap. 7.
    • (1980)
    • Biles, W.E.1    Swain, J.J.2
  • 406
    • 84889368765 scopus 로고
    • Steady State Chemical Process Simulation: A State of the Art Review
    • Computer Applications to Chemical Engineering (R. G. Squires and G. V. Reklaitis, Eds.), ACS Symposium Series Vol. 124, American Chemical Society, Washington, DC
    • Rosen, E. M., "Steady State Chemical Process Simulation: A State of the Art Review," in Computer Applications to Chemical Engineering (R. G. Squires and G. V. Reklaitis, Eds.), ACS Symposium Series Vol. 124, American Chemical Society, Washington, DC, (1980).
    • (1980)
    • Rosen, E.M.1
  • 407
    • 0003987227 scopus 로고
    • Modeling and Analysis Using Q-GERT Networks
    • Wiley-Halsted, New York
    • Pritsker, A. A. B., Modeling and Analysis Using Q-GERT Networks, Wiley-Halsted, New York, (1977).
    • (1977)
    • Pritsker, A.A.B.1
  • 408
    • 0003775130 scopus 로고
    • Handbook of Industrial Engineering
    • Wiley-Interscience, New York
    • Salvendy, G. (Ed), Handbook of Industrial Engineering, Wiley-Interscience, New York, (1981).
    • (1981)
    • Salvendy, G.1
  • 409
    • 0019040422 scopus 로고
    • Computational Enhancements of the Method of Multipliers
    • Root, R. R., and K. M. Ragsdell, "Computational Enhancements of the Method of Multipliers," ASME J. Mech. Des., 102, 517-523 (1980).
    • (1980) ASME J. Mech. Des. , vol.102 , pp. 517-523
    • Root, R.R.1    Ragsdell, K.M.2
  • 410
    • 0014887730 scopus 로고
    • Differential Constraint Scaling in Penalty Function Optimization
    • Keefer, D. L., and B. Gottfried, "Differential Constraint Scaling in Penalty Function Optimization," AIIE Trans., 2, 281-286 (1970).
    • (1970) AIIE Trans. , vol.2 , pp. 281-286
    • Keefer, D.L.1    Gottfried, B.2
  • 411
    • 0019627060 scopus 로고
    • Scaling Nonlinear Programs
    • Lasdon, L. S., and P. O. Beck, "Scaling Nonlinear Programs," Oper. Res. Lett., 1, 6-9 (1981).
    • (1981) Oper. Res. Lett. , vol.1 , pp. 6-9
    • Lasdon, L.S.1    Beck, P.O.2
  • 412
    • 0018915225 scopus 로고
    • A New Approach to Optimization of Chemical Processes
    • Berna, T. J., M. H. Locke, and A. W. Westerberg, "A New Approach to Optimization of Chemical Processes," AIChE J., 26, 37-43 (1980).
    • (1980) AIChE J. , vol.26 , pp. 37-43
    • Berna, T.J.1    Locke, M.H.2    Westerberg, A.W.3
  • 413
    • 0002693749 scopus 로고
    • A Comparison of Several Current Optimization Methods and the Use of Transformations in Constrained Problems
    • Box, M. J., "A Comparison of Several Current Optimization Methods and the Use of Transformations in Constrained Problems," Computer J., 9, 67-77 (1966).
    • (1966) Computer J. , vol.9 , pp. 67-77
    • Box, M.J.1
  • 414
    • 34250246420 scopus 로고
    • Elimination of Bounds in Optimization Problems by Transforming Variables
    • Sisser, F. S., "Elimination of Bounds in Optimization Problems by Transforming Variables," Math. Prog., 20, 110-121 (1981).
    • (1981) Math. Prog. , vol.20 , pp. 110-121
    • Sisser, F.S.1
  • 415
    • 0003488909 scopus 로고
    • Introduction to Linear and Nonlinear Programming
    • Addison-Wesley, Reading, MA, Chap. 5
    • Luenberger, D. G., Introduction to Linear and Nonlinear Programming, Addison-Wesley, Reading, MA, 1973, Chap. 5.
    • (1973)
    • Luenberger, D.G.1
  • 416
    • 84889411877 scopus 로고
    • A Differential Algorithm for Polynomial Programs
    • Reklaitis, G. V., and D. J. Wilde, "A Differential Algorithm for Polynomial Programs," DECHEMA Monogr., 67, 324-350 (1970).
    • (1970) DECHEMA Monogr. , vol.67 , pp. 324-350
    • Reklaitis, G.V.1    Wilde, D.J.2
  • 417
    • 0016349331 scopus 로고
    • Geometric Programming via a Primal Auxiliary Problem
    • Reklaitis, G. V., and D. J. Wilde, "Geometric Programming via a Primal Auxiliary Problem," AIIE Trans., 6, 308-317 (1974).
    • (1974) AIIE Trans. , vol.6 , pp. 308-317
    • Reklaitis, G.V.1    Wilde, D.J.2
  • 418
    • 0016079767 scopus 로고
    • Analysis and Optimization of the Williams-Otto Process by Geometric Programming
    • Rijckaert, M. J., and X. M. Martens, "Analysis and Optimization of the Williams-Otto Process by Geometric Programming," AIChE J., 20, 742-750 (1974).
    • (1974) AIChE J. , vol.20 , pp. 742-750
    • Rijckaert, M.J.1    Martens, X.M.2
  • 419
    • 0018060909 scopus 로고
    • Assuring a Global Optimum by the Use of an Upper Bound on the Lower (Dual) Bound
    • Westerberg, A. W., and J. V. Shah, "Assuring a Global Optimum by the Use of an Upper Bound on the Lower (Dual) Bound," Computers Chem. Eng., 2, 83-92 (1978).
    • (1978) Computers Chem. Eng. , vol.2 , pp. 83-92
    • Westerberg, A.W.1    Shah, J.V.2
  • 420
    • 0004234319 scopus 로고
    • Process Plant Estimating, Evaluation, and Control
    • Craftsman Book Company, Solana Beach, CA
    • Guthrie, K. M., Process Plant Estimating, Evaluation, and Control, Craftsman Book Company, Solana Beach, CA, (1974).
    • (1974)
    • Guthrie, K.M.1
  • 422
    • 0020091088 scopus 로고
    • On the Computational Utility of Polynomial Geometric Programming Solution Methods
    • Fattler, J. E., G. V. Reklaitis, Y. T. Sin, R. R. Root, and K. M. Rasgsdell, "On the Computational Utility of Polynomial Geometric Programming Solution Methods," Math. Prog., 22, 163-201 (1982).
    • (1982) Math. Prog. , vol.22 , pp. 163-201
    • Fattler, J.E.1    Reklaitis, G.V.2    Sin, Y.T.3    Root, R.R.4    Rasgsdell, K.M.5
  • 423
    • 0015419856 scopus 로고
    • Generalized Benders Decomposition
    • Geoffrion, A. M., "Generalized Benders Decomposition," JOTA, 10, 237-251 (1972).
    • (1972) , vol.10 , pp. 237-251
    • Geoffrion, A.M.1
  • 424
    • 0002518309 scopus 로고
    • Optimum Design of Plate Distillation Columns.
    • Optimization in Action (L. C. W. Dixon, Ed.), Academic, New York
    • Sargent, R. W. H., and K. Gannibandara, "Optimum Design of Plate Distillation Columns." in Optimization in Action (L. C. W. Dixon, Ed.), Academic, New York, (1976).
    • (1976)
    • Sargent, R.W.H.1    Gannibandara, K.2
  • 425
    • 84889414804 scopus 로고
    • Optimization of Transportation Networks
    • Stochastic Modeling of Large Scale Transportation Networks (J. J. Solberg, Ed.), Final Rep., Automotive Transportation Center, Purdue University, West Lafayette, IN, Apr.
    • Gupta, A., and A. Ravindran, "Optimization of Transportation Networks," in Stochastic Modeling of Large Scale Transportation Networks (J. J. Solberg, Ed.), Final Rep., Automotive Transportation Center, Purdue University, West Lafayette, IN, Apr. (1981).
    • (1981)
    • Gupta, A.1    Ravindran, A.2
  • 426
    • 84889275416 scopus 로고
    • Optimization of a Non-Ideal Staged Compression Facility
    • Purdue University, West Lafayette, IN, July
    • Reklaitis, G. V., and J. M. Woods, "Optimization of a Non-Ideal Staged Compression Facility," Proc. 1974 Purdue Compressor Technol. Conf., Purdue University, West Lafayette, IN, July 1974, pp. 415-422.
    • (1974) Proc. 1974 Purdue Compressor Technol. Conf. , pp. 415-422
    • Reklaitis, G.V.1    Woods, J.M.2
  • 427
    • 0010853425 scopus 로고
    • Optimization and Industrial Experimentation
    • Wiley, New York, Chap. 7
    • Biles, W. E., and J. J. Swain, Optimization and Industrial Experimentation, Wiley, New York, 1980, Chap. 7.
    • (1980)
    • Biles, W.E.1    Swain, J.J.2
  • 428
    • 84889293567 scopus 로고
    • Combined Design and Scheduling of Regenerative Noncontinuous Processes
    • AIChE Nat. Meet., Houston, TX, Apr.
    • Knopf, F. C., G. V. Reklaitis, and M. R. Okos, "Combined Design and Scheduling of Regenerative Noncontinuous Processes," Symp. Prod. Planning Multi-Product Plants, AIChE Nat. Meet., Houston, TX, Apr. (1981).
    • (1981) Symp. Prod. Planning Multi-Product Plants
    • Knopf, F.C.1    Reklaitis, G.V.2    Okos, M.R.3
  • 429
    • 0004195446 scopus 로고
    • Introduction to Simulation and SLAM
    • Systems Publ. Corp. and Halsted Press, New York
    • Pritsker, A. A. B., and C. P. Pegden, Introduction to Simulation and SLAM, Systems Publ. Corp. and Halsted Press, New York, (1979).
    • (1979)
    • Pritsker, A.A.B.1    Pegden, C.P.2
  • 430
    • 84889370958 scopus 로고
    • Global Optimization Algorithms
    • Nonlinear Optimization: Theory and Algorithms (L. C. W. Dixon, E. Spedicato, and G. P. Szego, Eds.), Birkhauser, Boston
    • Archetti, F., and G. P. Szego, "Global Optimization Algorithms," in Nonlinear Optimization: Theory and Algorithms (L. C. W. Dixon, E. Spedicato, and G. P. Szego, Eds.), Birkhauser, Boston, (1980).
    • (1980)
    • Archetti, F.1    Szego, G.P.2
  • 431
    • 0014712290 scopus 로고
    • Solving Nonconvex Quadratic Minimization Problems by Ranking Extreme Points
    • Cabot, A. V., and R. L. Francis, "Solving Nonconvex Quadratic Minimization Problems by Ranking Extreme Points," Oper. Res., 18, 82-86 (1970).
    • (1970) Oper. Res. , vol.18 , pp. 82-86
    • Cabot, A.V.1    Francis, R.L.2
  • 432
    • 1842701944 scopus 로고
    • Attempts to Calculate Global Solutions to Problems That May Have Local Minima
    • Numerical Methods for Nonlinear Optimization (F. A. Lootsma, Ed.), Academic, New York
    • McCormick, G. P., "Attempts to Calculate Global Solutions to Problems That May Have Local Minima," in Numerical Methods for Nonlinear Optimization (F. A. Lootsma, Ed.), Academic, New York, (1972).
    • (1972)
    • McCormick, G.P.1
  • 433
    • 0003879857 scopus 로고
    • The Purpose of Mathematical Programming in Insight, not Numbers
    • Geoffrion, A. M., "The Purpose of Mathematical Programming in Insight, not Numbers," Interfaces, 7, 81-92 (1976).
    • (1976) Interfaces , vol.7 , pp. 81-92
    • Geoffrion, A.M.1
  • 434
    • 2042517204 scopus 로고
    • A Course in Process Design
    • MIT Press, Cambridge, MA
    • Sherwood, T., A Course in Process Design, MIT Press, Cambridge, MA, (1963).
    • (1963)
    • Sherwood, T.1
  • 435
    • 0019024644 scopus 로고
    • Optimal Location of Coal Blending Plants by Mixed Integer Programming
    • (1980). Key Stone Coal Industry Manual, McGraw-Hill, New York, 1975. Compilation of Air Pollutant Emission Factors, 2nd ed., U.S. Environmental Protection Agency, Apr. 1973. Rural Electrification, National Rural Electric Cooperative Association, Washington, DC, Mar.
    • Ravindran, A., and D. L. Hanline, "Optimal Location of Coal Blending Plants by Mixed Integer Programming," Am. Inst. Eng. Trans., 12(2), 179-185 (1980). Key Stone Coal Industry Manual, McGraw-Hill, New York, 1975. Compilation of Air Pollutant Emission Factors, 2nd ed., U.S. Environmental Protection Agency, Apr. 1973. Rural Electrification, National Rural Electric Cooperative Association, Washington, DC, Mar. (1978).
    • (1978) Am. Inst. Eng. Trans. , vol.12 , Issue.2 , pp. 179-185
    • Ravindran, A.1    Hanline, D.L.2
  • 436
    • 84889344335 scopus 로고
    • Rand McNally Railroad Atlas of the United States
    • Indiana Energy Office, State Department of Commerce, Indianapolis, IN, private communication., Rand McNally & Co., Chicago, IL
    • Indiana Energy Office, State Department of Commerce, Indianapolis, IN, private communication. Rand McNally Railroad Atlas of the United States, Rand McNally & Co., Chicago, IL, (1971).
    • (1971)
  • 438
    • 0001488483 scopus 로고
    • An Additive Algorithm for Solving Linear Programs with Zero-One Variables
    • Balas, E., "An Additive Algorithm for Solving Linear Programs with Zero-One Variables," Oper. Res., 13, 517-547 (1965).
    • (1965) Oper. Res. , vol.13 , pp. 517-547
    • Balas, E.1
  • 439
    • 0020190399 scopus 로고
    • Optimization of a Complex Chemical Process Using an Equation Oriented Model
    • Sarma, P. V. L. N., and G. V. Reklaitis, "Optimization of a Complex Chemical Process Using an Equation Oriented Model," Math. Prog. Study, 20, 113-160, (1982).
    • (1982) Math. Prog. Study , vol.20 , pp. 113-160
    • Sarma, P.V.L.N.1    Reklaitis, G.V.2
  • 440
    • 84889452650 scopus 로고
    • Strategy of Modeling and Optimization in Chemical Process Design
    • Ph.D. dissertation, Purdue University, West Lafayette, IN
    • Sarma, P. V. L. N., "Strategy of Modeling and Optimization in Chemical Process Design," Ph.D. dissertation, Purdue University, West Lafayette, IN, (1978).
    • (1978)
    • Sarma, P.V.L.N.1
  • 441
    • 0015037757 scopus 로고
    • Correlation Equation for Solubility of Carbon Dioxide in Water, Seawater, and Seawater Concentrates
    • Stewart, P. B., and P. Mungal, "Correlation Equation for Solubility of Carbon Dioxide in Water, Seawater, and Seawater Concentrates, J. Chem. Eng. Data, 2, 170 (1971).
    • (1971) J. Chem. Eng. Data , vol.2 , Issue.170
    • Stewart, P.B.1    Mungal, P.2
  • 442
    • 0003856064 scopus 로고
    • Design of Equilibrium Stage Processes
    • McGraw-Hill, New York
    • Smith, B. D., Design of Equilibrium Stage Processes, McGraw-Hill, New York, (1963).
    • (1963)
    • Smith, B.D.1
  • 443
    • 0004045451 scopus 로고
    • Mass Transfer Operations
    • McGraw-Hill, New York
    • Treybal, R. E., Mass Transfer Operations, McGraw-Hill, New York, (1968).
    • (1968)
    • Treybal, R.E.1
  • 444
    • 0016552882 scopus 로고
    • Equations Replace Gilliland Plot
    • Eduljee, H. E., "Equations Replace Gilliland Plot," Hydrocarbon Proc., 54(9), 120 (1975).
    • (1975) Hydrocarbon Proc. , vol.54 , Issue.9 , pp. 120
    • Eduljee, H.E.1
  • 445
    • 84889319120 scopus 로고
    • A Kinetic Study of Oxidation of Ethylene on a Silver Catalyst
    • Ph.D. thesis, Purdue University, West Lafayette, IN, Aug.
    • Buntin, R. R., "A Kinetic Study of Oxidation of Ethylene on a Silver Catalyst," Ph.D. thesis, Purdue University, West Lafayette, IN, Aug. (1961).
    • (1961)
    • Buntin, R.R.1
  • 446
    • 0012232193 scopus 로고
    • Data and Techniques for Preliminary Capital Cost Estimating
    • Modern Cost Engineering Techniques (H. Popper, Ed.), McGraw-Hill, New York
    • Guthrie, K. M., "Data and Techniques for Preliminary Capital Cost Estimating," in Modern Cost Engineering Techniques (H. Popper, Ed.), McGraw-Hill, New York, (1970).
    • (1970)
    • Guthrie, K.M.1
  • 447
    • 0017949075 scopus 로고
    • Design and Testing of Generalized Reduced Gradient Code for Nonlinear Programming
    • Mar.
    • Lasdon, L. S., A. D. Warren, A. Jam, and M. W. Ratner, "Design and Testing of Generalized Reduced Gradient Code for Nonlinear Programming," ACM Trans. Math. Software, 4, 34-50 (Mar. 1978).
    • (1978) ACM Trans. Math. Software , vol.4 , pp. 34-50
    • Lasdon, L.S.1    Warren, A.D.2    Jam, A.3    Ratner, M.W.4
  • 449
    • 0019040484 scopus 로고
    • Computer Aided Optimal Design of Compressed Air Energy Storage Systems
    • Ahrens, F. W., A. Sharma, and K. M. Ragsdell, "Computer Aided Optimal Design of Compressed Air Energy Storage Systems," ASME J. Mech. Des., 102, 437-445 (1980).
    • (1980) , vol.102 , pp. 437-445
    • Ahrens, F.W.1    Sharma, A.2    Ragsdell, K.M.3
  • 451
    • 0017942069 scopus 로고
    • Compressed Air Energy Storage
    • Vosburgh, K. G., "Compressed Air Energy Storage," AJAA J. Energy, 2(2), 106-112 (1978).
    • (1978) AJAA J. Energy , vol.2 , Issue.2 , pp. 106-112
    • Vosburgh, K.G.1
  • 452
    • 84914839181 scopus 로고
    • A Parametric Study of Turbine Systems for Compressed Air Energy Storage Plants
    • Final Report FY1977, Report No. ANL/ES-64, Argonne National Laboratory, Chicago, IL
    • Kim, C. S., and G. T. Kartsounes, "A Parametric Study of Turbine Systems for Compressed Air Energy Storage Plants," Final Report FY1977, Report No. ANL/ES-64, Argonne National Laboratory, Chicago, IL, (1978).
    • (1978)
    • Kim, C.S.1    Kartsounes, G.T.2
  • 453
    • 84889324570 scopus 로고
    • Study of Selected Turbomachinery Components for Compressed Air Storage Systems
    • Report No. ANL/EES-TM-14, United Technologies Research Center for Argonne National Laboratory
    • Davison, W. R., and R. D. Lessard, "Study of Selected Turbomachinery Components for Compressed Air Storage Systems," Report No. ANL/EES-TM-14, United Technologies Research Center for Argonne National Laboratory, (1977).
    • (1977)
    • Davison, W.R.1    Lessard, R.D.2
  • 454
    • 84889449070 scopus 로고
    • Proc. Compressed Air Energy Storage Technology Symposium
    • Pacific Grove, CA
    • Ahluwalia, R. K., A. Sharma, and F. W. Ahrens, Proc. Compressed Air Energy Storage Technology Symposium, Pacific Grove, CA, 1979, pp. 295-325.
    • (1979) , pp. 295-325
    • Ahluwalia, R.K.1    Sharma, A.2    Ahrens, F.W.3
  • 455
    • 0019040422 scopus 로고
    • Computational Enhancements to the Method of Multipliers
    • Root, R. R., and K. M. Ragsdell, "Computational Enhancements to the Method of Multipliers," ASME J. Mech. Des., 102(3), 517-523 (1980).
    • (1980) , vol.102 , Issue.3 , pp. 517-523
    • Root, R.R.1    Ragsdell, K.M.2
  • 456
    • 0019042977 scopus 로고
    • Large Scale Nonlinear Programming Using the Generalized Reduced Gradient Method
    • Gabriele, G. A., and K. M. Ragsdell, "Large Scale Nonlinear Programming Using the Generalized Reduced Gradient Method," ASME J. Mech. Des., 102(3), 566-573 (1980).
    • (1980) ASME J. Mech. Des. , vol.102 , Issue.3 , pp. 566-573
    • Gabriele, G.A.1    Ragsdell, K.M.2
  • 457
    • 79953686409 scopus 로고
    • Compressed Air Storage for Electric Power Generation
    • Ulrich's Books, Ann Arbor, MI
    • Katz, D. L., and E. R. Lady, Compressed Air Storage for Electric Power Generation, Ulrich's Books, Ann Arbor, MI, (1976).
    • (1976)
    • Katz, D.L.1    Lady, E.R.2
  • 458
    • 0242529722 scopus 로고
    • The Design Optimization of Aquifer Reservoir-Based Compressed Air Energy Storage Systems
    • Luray, VA, CONF-781046
    • Ahrens, F. W., "The Design Optimization of Aquifer Reservoir-Based Compressed Air Energy Storage Systems," Proc. 1978 Mech. Magnetic Energy Storage Contractors' Rev. Meet., Luray, VA, CONF-781046, 1978, pp. 404-415.
    • (1978) Proc. 1978 Mech. Magnetic Energy Storage Contractors' Rev. Meet. , pp. 404-415
    • Ahrens, F.W.1


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