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Volumn 7, Issue 1, 2013, Pages 23-38

An exact penalty function method for nonlinear mixed discrete programming problems

Author keywords

Exact penalty function; Nonlinear mixed integer programming

Indexed keywords

CONSTRAINED OPTIMIZATION; NEWTON-RAPHSON METHOD; NUMERICAL METHODS; OPTIMAL SYSTEMS;

EID: 84872277759     PISSN: 18624472     EISSN: 18624480     Source Type: Journal    
DOI: 10.1007/s11590-011-0391-2     Document Type: Article
Times cited : (31)

References (25)
  • 1
    • 0025626811 scopus 로고
    • Solution of mixed-discrete structural optimization problems with a new sequential linearization algorithms
    • Bremicker M., Papalambros P. Y., Loh H. T.: Solution of mixed-discrete structural optimization problems with a new sequential linearization algorithms. Comput. Struct. 37(4), 451-461 (1990).
    • (1990) Comput. Struct. , vol.37 , Issue.4 , pp. 451-461
    • Bremicker, M.1    Papalambros, P.Y.2    Loh, H.T.3
  • 2
    • 0000240985 scopus 로고
    • Discrete optimization of structures using an improved penalty function method
    • Cai J. B., Thierauf G.: Discrete optimization of structures using an improved penalty function method. Eng. Optim. 21(4), 293-306 (1993).
    • (1993) Eng. Optim. , vol.21 , Issue.4 , pp. 293-306
    • Cai, J.B.1    Thierauf, G.2
  • 3
    • 56649105067 scopus 로고    scopus 로고
    • Canonical dual approach to solving 0-1 quadratic programming problems
    • Fang S. C., Gao D. Y., Sheu R. L., Wu S. Y.: Canonical dual approach to solving 0-1 quadratic programming problems. J. Ind. Manage. Optim. 4(1), 125-142 (2008).
    • (2008) J. Ind. Manage. Optim. , vol.4 , Issue.1 , pp. 125-142
    • Fang, S.C.1    Gao, D.Y.2    Sheu, R.L.3    Wu, S.Y.4
  • 4
    • 0001726904 scopus 로고
    • A mixed integer-discretecontinuous programming method and its application to engineering design optimization
    • Fu J. F., Fenton R. G., Cleghorn W. L.: A mixed integer-discretecontinuous programming method and its application to engineering design optimization. Eng. Optim. 17(4), 263-280 (1991).
    • (1991) Eng. Optim. , vol.17 , Issue.4 , pp. 263-280
    • Fu, J.F.1    Fenton, R.G.2    Cleghorn, W.L.3
  • 6
    • 77954762521 scopus 로고    scopus 로고
    • Solutions to quadratic minimization problems with box and integer constraints
    • Gao D. Y., Ruan N.: Solutions to quadratic minimization problems with box and integer constraints. J. Global Optim. 47(3), 463-484 (2010).
    • (2010) J. Global Optim. , vol.47 , Issue.3 , pp. 463-484
    • Gao, D.Y.1    Ruan, N.2
  • 7
    • 0012185877 scopus 로고
    • A global approach for nonlinear mixed discrete programming in design optimization
    • Li H. L., Chou C. T.: A global approach for nonlinear mixed discrete programming in design optimization. Eng. Optim. 22(2), 109-122 (1993).
    • (1993) Eng. Optim. , vol.22 , Issue.2 , pp. 109-122
    • Li, H.L.1    Chou, C.T.2
  • 8
    • 0001332760 scopus 로고    scopus 로고
    • A computational study of search strategies for mixed integer programming
    • Linderoth J. T., Savelsbergh M. W. P.: A computational study of search strategies for mixed integer programming. INFORMS J. Comput. Spring 11(2), 173-188 (1999).
    • (1999) INFORMS J. Comput. Spring , vol.11 , Issue.2 , pp. 173-188
    • Linderoth, J.T.1    Savelsbergh, M.W.P.2
  • 9
    • 0026221164 scopus 로고
    • A sequential linearization approach for solving mixed-discrete nonlinear design optimization problems
    • Loh H. T., Papalambros P. Y.: A sequential linearization approach for solving mixed-discrete nonlinear design optimization problems. J. Mech. Des. 113, 325-334 (1991).
    • (1991) J. Mech. Des. , vol.113 , pp. 325-334
    • Loh, H.T.1    Papalambros, P.Y.2
  • 10
    • 0026219151 scopus 로고
    • Computational implementation and tests of a sequential linearization algorithm for mixed-discrete nonlinear design optimization
    • Loh H. T., Papalambros P. Y.: Computational implementation and tests of a sequential linearization algorithm for mixed-discrete nonlinear design optimization. J. Mech. Des. 113(3), 335-344 (1991).
    • (1991) J. Mech. Des. , vol.113 , Issue.3 , pp. 335-344
    • Loh, H.T.1    Papalambros, P.Y.2
  • 11
    • 77951980557 scopus 로고    scopus 로고
    • Exact penalty functions for nonlinear integer programming problems
    • Lucidi S., Rinaldi F.: Exact penalty functions for nonlinear integer programming problems. J. Optim. Theory Appl. 145(3), 479-488 (2010).
    • (2010) J. Optim. Theory Appl. , vol.145 , Issue.3 , pp. 479-488
    • Lucidi, S.1    Rinaldi, F.2
  • 12
    • 77952005275 scopus 로고    scopus 로고
    • An algorithm for nonlinear optimization problems with binary variables
    • Murray W., Ng K. M.: An algorithm for nonlinear optimization problems with binary variables. Comput. Optim. Appl. 47(2), 257-288 (2010).
    • (2010) Comput. Optim. Appl. , vol.47 , Issue.2 , pp. 257-288
    • Murray, W.1    Ng, K.M.2
  • 13
    • 18844451467 scopus 로고    scopus 로고
    • Discrete filled function method for discrete global optimization
    • Ng C., Zhang L.: Discrete filled function method for discrete global optimization. Comput. Optim. Appl. 31(1), 87-115 (2005).
    • (2005) Comput. Optim. Appl. , vol.31 , Issue.1 , pp. 87-115
    • Ng, C.1    Zhang, L.2
  • 14
    • 0003210539 scopus 로고
    • Constrained global optimization: algorithms and applications
    • Springer, Berlin
    • Pardalos, P. M., Rosen, J. B.: Constrained global optimization: algorithms and applications. In: Lecture Notes in Computer Science, vol. 268. Springer, Berlin (1987).
    • (1987) Lecture Notes in Computer Science , vol.268
    • Pardalos, P.M.1    Rosen, J.B.2
  • 15
    • 9744260535 scopus 로고    scopus 로고
    • Continuous Approaches to Discrete Optimization Problems
    • In: Di Pillo, G., Giannessi, F. (eds.), Plenum Publishing, New York
    • Pardalos, P. M.: Continuous Approaches to Discrete Optimization Problems. In: Di Pillo, G., Giannessi, F. (eds.) Nonlinear Optimization and Applications, pp. 313-328. Plenum Publishing, New York (1996).
    • (1996) Nonlinear Optimization and Applications , pp. 313-328
    • Pardalos, P.M.1
  • 16
    • 84955151097 scopus 로고    scopus 로고
    • Continuous Approaches for Solving Discrete Optimization Problems
    • In: Appa, G., Pitsoulis, L., Williams, H. P. (eds.), Springer, New York
    • Pardalos, P. M., Prokopyev, O., Busygin, S.: Continuous Approaches for Solving Discrete Optimization Problems. In: Appa, G., Pitsoulis, L., Williams, H. P. (eds.) Handbook on Modelling for Discrete Optimization, pp. 39-60. Springer, New York (2006).
    • (2006) Handbook on Modelling for Discrete Optimization , pp. 39-60
    • Pardalos, P.M.1    Prokopyev, O.2    Busygin, S.3
  • 18
    • 0001908512 scopus 로고
    • On methods for discrete structural optimization
    • Ringertz U. T.: On methods for discrete structural optimization. Eng. Optim. 13(1), 47-64 (1988).
    • (1988) Eng. Optim. , vol.13 , Issue.1 , pp. 47-64
    • Ringertz, U.T.1
  • 19
    • 0025448058 scopus 로고
    • Nonlinear integer and discrete programming in mechanical design optimization
    • Sandgren E.: Nonlinear integer and discrete programming in mechanical design optimization. J. Mech. Des. 112(2), 223-229 (1988).
    • (1988) J. Mech. Des. , vol.112 , Issue.2 , pp. 223-229
    • Sandgren, E.1
  • 20
    • 1542729047 scopus 로고
    • A penalty approach for nonlinear optimization with discrete design variables
    • Shin D. K., Gürdal Z., Griffin J. R., Griffin J. R.: A penalty approach for nonlinear optimization with discrete design variables. Eng. Optim. 16(1), 29-42 (1990).
    • (1990) Eng. Optim. , vol.16 , Issue.1 , pp. 29-42
    • Shin, D.K.1    Gürdal, Z.2    Griffin, J.R.3    Griffin, J.R.4
  • 21
    • 77953832368 scopus 로고    scopus 로고
    • Convex relaxation and Lagrangian decomposition for indefinite integer quadratic programming
    • Sun X. L., Li J. L., Luo H. Z.: Convex relaxation and Lagrangian decomposition for indefinite integer quadratic programming. Optimization 59(5), 627-641 (2010).
    • (2010) Optimization , vol.59 , Issue.5 , pp. 627-641
    • Sun, X.L.1    Li, J.L.2    Luo, H.Z.3
  • 22
    • 0024034735 scopus 로고
    • On implementation of computational algorithms for optimization design. Part I and Part
    • Tseng C., Arora J.: On implementation of computational algorithms for optimization design. Part I and Part. Int. J. Numer. Methods Eng. 26(6), 1365-1402 (1988).
    • (1988) Int. J. Numer. Methods Eng. , vol.26 , Issue.6 , pp. 1365-1402
    • Tseng, C.1    Arora, J.2
  • 23
    • 0031630314 scopus 로고    scopus 로고
    • A new approach to nonlinear mixed discrete programming problems
    • Wang S., Teo K. L., Lee H. W. J.: A new approach to nonlinear mixed discrete programming problems. Eng. Optim. 30(3), 249-262 (1998).
    • (1998) Eng. Optim. , vol.30 , Issue.3 , pp. 249-262
    • Wang, S.1    Teo, K.L.2    Lee, H.W.J.3
  • 24
    • 77957790374 scopus 로고    scopus 로고
    • A new exact penalty function method for continuous inequality constrained optimization problems
    • Yu C. J., Teo K. L., Zhang L. S., Bai Y. Q.: A new exact penalty function method for continuous inequality constrained optimization problems. J. Ind. Manage. Optim. 6(4), 895-910 (2010).
    • (2010) J. Ind. Manage. Optim. , vol.6 , Issue.4 , pp. 895-910
    • Yu, C.J.1    Teo, K.L.2    Zhang, L.S.3    Bai, Y.Q.4
  • 25
    • 77956009531 scopus 로고    scopus 로고
    • Separable relaxation for nonconvex quadratic integer programming: integer diagonalization approach
    • Zheng X. J., Sun X. L., Li D.: Separable relaxation for nonconvex quadratic integer programming: integer diagonalization approach. J. Optim. Theory Appl. 146(2), 463-489 (2010).
    • (2010) J. Optim. Theory Appl. , vol.146 , Issue.2 , pp. 463-489
    • Zheng, X.J.1    Sun, X.L.2    Li, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.