메뉴 건너뛰기




Volumn 154, Issue 1, 2012, Pages 120-132

Posynomial Parametric Geometric Programming with Interval Valued Coefficient

Author keywords

Duality theorem; Geometric programming; Interval number; Optimization; Uncertain parameter

Indexed keywords

FUNCTIONAL PROGRAMMING; GEOMETRY; PROBLEM SOLVING;

EID: 84862574419     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-012-9996-6     Document Type: Article
Times cited : (34)

References (40)
  • 2
    • 0020940483 scopus 로고
    • Geometric programming method for optimal reliability allocation for a series system subject to cost constraint
    • Govil, K. K.: Geometric programming method for optimal reliability allocation for a series system subject to cost constraint. Microelectron. Reliab. 23(5), 783-784 (1983).
    • (1983) Microelectron. Reliab. , vol.23 , Issue.5 , pp. 783-784
    • Govil, K.K.1
  • 3
    • 0026682101 scopus 로고
    • Optimal maintainability allocation using the geometric programming method
    • Govil, K. K.: Optimal maintainability allocation using the geometric programming method. Microelectron. Reliab. 32(1/2), 265-266 (1992).
    • (1992) Microelectron. Reliab. , vol.32 , Issue.1-2 , pp. 265-266
    • Govil, K.K.1
  • 4
    • 79958856165 scopus 로고    scopus 로고
    • Optimal fuzzy reliability for a series system with cost constraints using fuzzy geometric programming
    • Mahapatra, G. S., Roy, T. K.: Optimal fuzzy reliability for a series system with cost constraints using fuzzy geometric programming. Tamsui Oxf. J. Manag. Sci. 22(2), 51-61 (2006).
    • (2006) Tamsui Oxf. J. Manag. Sci. , vol.22 , Issue.2 , pp. 51-61
    • Mahapatra, G.S.1    Roy, T.K.2
  • 5
    • 84862526109 scopus 로고    scopus 로고
    • Reliability and cost analysis of series system models using fuzzy parametric geometric programming
    • Mahapatra, B. S., Mahapatra, G. S.: Reliability and cost analysis of series system models using fuzzy parametric geometric programming. Fuzzy Inf. Eng. 2(4), 399-411 (2010).
    • (2010) Fuzzy Inf. Eng. , vol.2 , Issue.4 , pp. 399-411
    • Mahapatra, B.S.1    Mahapatra, G.S.2
  • 6
    • 0030270828 scopus 로고    scopus 로고
    • Effectiveness of a geometric programming algorithm for optimization of machining economics models
    • Choi, J. C., Bricker, D. L.: Effectiveness of a geometric programming algorithm for optimization of machining economics models. Comput. Oper. Res. 10, 957-961 (1996).
    • (1996) Comput. Oper. Res. , vol.10 , pp. 957-961
    • Choi, J.C.1    Bricker, D.L.2
  • 7
    • 0031166408 scopus 로고    scopus 로고
    • Optimal selection of process parameters for turning operations in a CAPP system
    • Prasad, A. V. S. R. K., Rao, P. N., Rao, U. R. K.: Optimal selection of process parameters for turning operations in a CAPP system. Int. J. Prod. Res. 35, 1495-1522 (1997).
    • (1997) Int. J. Prod. Res. , vol.35 , pp. 1495-1522
    • Prasad, A.V.S.R.K.1    Rao, P.N.2    Rao, U.R.K.3
  • 8
    • 0035567587 scopus 로고    scopus 로고
    • VLSI circuit performance optimization by geometric programming
    • Chu, C., Wong, D. F.: VLSI circuit performance optimization by geometric programming. Ann. Oper. Res. 105, 37-60 (2001).
    • (2001) Ann. Oper. Res. , vol.105 , pp. 37-60
    • Chu, C.1    Wong, D.F.2
  • 11
    • 0026116409 scopus 로고
    • An economic order quantity model with demand-dependent unit production cost and imperfect production process
    • Cheng, T. C. E.: An economic order quantity model with demand-dependent unit production cost and imperfect production process. IIE Trans. 23, 23-28 (1991).
    • (1991) IIE Trans. , vol.23 , pp. 23-28
    • Cheng, T.C.E.1
  • 12
    • 0007990754 scopus 로고    scopus 로고
    • Optimal joint pricing and lot sizing with fixed and variable capacity
    • Kim, D., Lee, W. J.: Optimal joint pricing and lot sizing with fixed and variable capacity. Eur. J. Oper. Res. 109, 212-227 (1998).
    • (1998) Eur. J. Oper. Res. , vol.109 , pp. 212-227
    • Kim, D.1    Lee, W.J.2
  • 13
    • 84990622751 scopus 로고
    • Determining order quantity and selling price by geometric programming: Optimal solution, bounds, and sensitivity
    • Lee, W. J.: Determining order quantity and selling price by geometric programming: Optimal solution, bounds, and sensitivity. Decis. Sci. 24, 76-87 (1993).
    • (1993) Decis. Sci. , vol.24 , pp. 76-87
    • Lee, W.J.1
  • 14
    • 12344254881 scopus 로고    scopus 로고
    • Optimal inventory policies for an economic order quantity model with decreasing cost functions
    • Jung, H., Klein, C. M.: Optimal inventory policies for an economic order quantity model with decreasing cost functions. Eur. J. Oper. Res. 165, 108-126 (2005).
    • (2005) Eur. J. Oper. Res. , vol.165 , pp. 108-126
    • Jung, H.1    Klein, C.M.2
  • 15
    • 0037432482 scopus 로고    scopus 로고
    • Probabilistic multi-item inventory model with varying order cost under two restrictions: A geometric programming approach
    • Abuo-El-Ata, M. O., Fergany, H. A., El-Wakeel, M. F.: Probabilistic multi-item inventory model with varying order cost under two restrictions: A geometric programming approach. Int. J. Prod. Econ. 83, 223-231 (2003).
    • (2003) Int. J. Prod. Econ. , vol.83 , pp. 223-231
    • Abuo-El-Ata, M.O.1    Fergany, H.A.2    El-Wakeel, M.F.3
  • 16
    • 0020183123 scopus 로고
    • The analysis of an inventory control model using posynomial geometric programming
    • Worrall, B. M., Hall, M. A.: The analysis of an inventory control model using posynomial geometric programming. Int. J. Prod. Res. 20, 657-667 (1982).
    • (1982) Int. J. Prod. Res. , vol.20 , pp. 657-667
    • Worrall, B.M.1    Hall, M.A.2
  • 17
    • 60349106534 scopus 로고    scopus 로고
    • Using geometric programming to profit maximization with interval coefficients and quantity discount
    • Liu, S. T.: Using geometric programming to profit maximization with interval coefficients and quantity discount. Appl. Math. Comput. 209, 259-265 (2009).
    • (2009) Appl. Math. Comput. , vol.209 , pp. 259-265
    • Liu, S.T.1
  • 18
    • 0029255633 scopus 로고
    • Allocation of resources in project management
    • Scott, C. H., Jefferson, T. R.: Allocation of resources in project management. Int. J. Syst. Sci. 26, 413-420 (1995).
    • (1995) Int. J. Syst. Sci. , vol.26 , pp. 413-420
    • Scott, C.H.1    Jefferson, T.R.2
  • 22
    • 0023999095 scopus 로고
    • Controlled dual perturbations for posynomial programs
    • Fang, S. C., Peterson, E. L., Rajasekera, J. R.: Controlled dual perturbations for posynomial programs. Eur. J. Oper. Res. 35, 111-117 (1988).
    • (1988) Eur. J. Oper. Res. , vol.35 , pp. 111-117
    • Fang, S.C.1    Peterson, E.L.2    Rajasekera, J.R.3
  • 23
    • 24944581514 scopus 로고
    • Sensitivity analysis in geometric programming: Theory and computations
    • Kyparisis, J.: Sensitivity analysis in geometric programming: Theory and computations. Ann. Oper. Res. 27, 39-64 (1990).
    • (1990) Ann. Oper. Res. , vol.27 , pp. 39-64
    • Kyparisis, J.1
  • 24
    • 0008427738 scopus 로고
    • A second order affine scaling algorithm for the geometric programming dual with logarithmic barrier
    • Kortanek, K. O., No, H.: A second order affine scaling algorithm for the geometric programming dual with logarithmic barrier. Optimization 23, 303-322 (1992).
    • (1992) Optimization , vol.23 , pp. 303-322
    • Kortanek, K.O.1    No, H.2
  • 25
    • 0043048462 scopus 로고    scopus 로고
    • An infeasible interior-point algorithm for solving primal and dual geometric programs
    • Kortanek, K. O., Xu, X., Ye, Y.: An infeasible interior-point algorithm for solving primal and dual geometric programs. Math. Program. 76, 155-181 (1997).
    • (1997) Math. Program. , vol.76 , pp. 155-181
    • Kortanek, K.O.1    Xu, X.2    Ye, Y.3
  • 26
    • 0030871124 scopus 로고    scopus 로고
    • Global optimization in generalized geometric programming
    • Maranas, C. D., Floudas, C. A.: Global optimization in generalized geometric programming. Comput. Chem. Eng. 21, 351-369 (1997).
    • (1997) Comput. Chem. Eng. , vol.21 , pp. 351-369
    • Maranas, C.D.1    Floudas, C.A.2
  • 27
    • 0035562796 scopus 로고    scopus 로고
    • The fundamental relations between geometric programming duality, parametric programming duality, and ordinary Lagrangian duality
    • Peterson, E. L.: The fundamental relations between geometric programming duality, parametric programming duality, and ordinary Lagrangian duality. Ann. Oper. Res. 105, 109-153 (2001).
    • (2001) Ann. Oper. Res. , vol.105 , pp. 109-153
    • Peterson, E.L.1
  • 28
    • 38249012951 scopus 로고
    • An alternative approach to the refined duality theory of geometric programming
    • Rajgopal, J.: An alternative approach to the refined duality theory of geometric programming. J. Math. Anal. Appl. 167, 266-288 (1992).
    • (1992) J. Math. Anal. Appl. , vol.167 , pp. 266-288
    • Rajgopal, J.1
  • 29
    • 0025486412 scopus 로고
    • Posynomial geometric programming as a special case of semi-infinite linear programming
    • Rajgopal, J., Bricker, D. L.: Posynomial geometric programming as a special case of semi-infinite linear programming. J. Optim. Theory Appl. 66, 455-475 (1990).
    • (1990) J. Optim. Theory Appl. , vol.66 , pp. 455-475
    • Rajgopal, J.1    Bricker, D.L.2
  • 30
    • 0036182628 scopus 로고    scopus 로고
    • Solving posynomial geometric programming problems via generalized linear programming
    • Rajgopal, J., Bricker, D. L.: Solving posynomial geometric programming problems via generalized linear programming. Comput. Optim. Appl. 21, 95-109 (2002).
    • (2002) Comput. Optim. Appl. , vol.21 , pp. 95-109
    • Rajgopal, J.1    Bricker, D.L.2
  • 31
    • 0031269593 scopus 로고    scopus 로고
    • Investigation of path-following algorithms for signomial geometric programming problems
    • Yang, H. H., Bricker, D. L.: Investigation of path-following algorithms for signomial geometric programming problems. Eur. J. Oper. Res. 103, 230-241 (1997).
    • (1997) Eur. J. Oper. Res. , vol.103 , pp. 230-241
    • Yang, H.H.1    Bricker, D.L.2
  • 32
    • 0028396405 scopus 로고
    • Controlled dual perturbations for central path trajectories in geometric programming
    • Zhu, J., Kortanek, K. O., Huang, S.: Controlled dual perturbations for central path trajectories in geometric programming. Eur. J. Oper. Res. 73, 524-531 (1992).
    • (1992) Eur. J. Oper. Res. , vol.73 , pp. 524-531
    • Zhu, J.1    Kortanek, K.O.2    Huang, S.3
  • 33
    • 0038456770 scopus 로고
    • Solution and theory of question for a kind of fuzzy positive geometric program
    • Tokyo
    • Cao, B. Y.: Solution and theory of question for a kind of fuzzy positive geometric program. In: Proc. 2nd IFSA Congress, Tokyo, vol. 1, pp. 205-208 (1987).
    • (1987) Proc. 2nd IFSA Congress , vol.1 , pp. 205-208
    • Cao, B.Y.1
  • 34
    • 0037779821 scopus 로고    scopus 로고
    • Applied Optimization, Berlin: Springer
    • Cao, B. Y.: Fuzzy Geometric Programming. Applied Optimization, vol. 76. Springer, Berlin (2002).
    • (2002) Fuzzy Geometric Programming , vol.76
    • Cao, B.Y.1
  • 35
    • 79958147732 scopus 로고    scopus 로고
    • Fuzzy geometric programming and its application
    • Yang, H., Cao, B. Y.: Fuzzy geometric programming and its application. Fuzzy Inf. Eng. 2(1), 101-112 (2010).
    • (2010) Fuzzy Inf. Eng. , vol.2 , Issue.1 , pp. 101-112
    • Yang, H.1    Cao, B.Y.2
  • 36
    • 77949571016 scopus 로고    scopus 로고
    • Duality theory for optimization problems with interval-valued objective functions
    • Wu, H. C.: Duality theory for optimization problems with interval-valued objective functions. J. Optim. Theory Appl. 144, 615-628 (2010).
    • (2010) J. Optim. Theory Appl. , vol.144 , pp. 615-628
    • Wu, H.C.1
  • 37
    • 35348976540 scopus 로고    scopus 로고
    • Posynomial geometric programming with interval exponents and coefficients
    • Liu, S. T.: Posynomial geometric programming with interval exponents and coefficients. Eur. J. Oper. Res. 186, 17-27 (2008).
    • (2008) Eur. J. Oper. Res. , vol.186 , pp. 17-27
    • Liu, S.T.1
  • 38
    • 84862520660 scopus 로고    scopus 로고
    • Geometric programming problem with coefficients and exponents associated with binary numbers
    • Ojha, A. K., Das, A. K.: Geometric programming problem with coefficients and exponents associated with binary numbers. Int. J. Comput. Sci. 7(1/2), 49-55 (2010).
    • (2010) Int. J. Comput. Sci. , vol.7 , Issue.1-2 , pp. 49-55
    • Ojha, A.K.1    Das, A.K.2
  • 39
    • 0023454598 scopus 로고
    • An interval arithmetic approach to sensitivity analysis in geometric programming
    • Dinkle, J. J., Tretter, M. J.: An interval arithmetic approach to sensitivity analysis in geometric programming. Oper. Res. 35, 866-869 (1987).
    • (1987) Oper. Res. , vol.35 , pp. 866-869
    • Dinkle, J.J.1    Tretter, M.J.2
  • 40
    • 24944477712 scopus 로고    scopus 로고
    • Posynomial geometric programming with parametric uncertainty
    • Liu, S. T.: Posynomial geometric programming with parametric uncertainty. Eur. J. Oper. Res. 168, 345-353 (2006).
    • (2006) Eur. J. Oper. Res. , vol.168 , pp. 345-353
    • Liu, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.