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Volumn 58, Issue 9, 2009, Pages 1844-1851

Solving mathematical programs with fuzzy equilibrium constraints

Author keywords

Fuzzy mathematical programming; Mathematical programs with equilibrium constraints

Indexed keywords

CONSTRAINED OPTIMIZATION PROBLEMS; EQUILIBRIUM CONSTRAINT; FUZZY MATHEMATICAL PROGRAMMING; MATHEMATICAL PROGRAM; MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS; NONLINEAR PROGRAMMING PROBLEM; NUMERICAL EXAMPLE; OPTIMIZATION PROBLEMS; SOLUTION PROCEDURE; TOLERANCE APPROACH;

EID: 70349134682     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.08.037     Document Type: Article
Times cited : (11)

References (22)
  • 1
    • 2942751830 scopus 로고    scopus 로고
    • An entropic regularization approach for mathematical programs with equilibrium constraints
    • Birbil S.I., Fang S.-C., and Han J. An entropic regularization approach for mathematical programs with equilibrium constraints. Computers and Operations Research 31 13 (2004) 2249-2262
    • (2004) Computers and Operations Research , vol.31 , Issue.13 , pp. 2249-2262
    • Birbil, S.I.1    Fang, S.-C.2    Han, J.3
  • 2
    • 10644272870 scopus 로고    scopus 로고
    • An entropic optimization approach for a parameter identification problem in quasibrittle fracture
    • Tin-Loi F. An entropic optimization approach for a parameter identification problem in quasibrittle fracture. Structural and Multidisciplinary Optimization 28 (2004) 442-450
    • (2004) Structural and Multidisciplinary Optimization , vol.28 , pp. 442-450
    • Tin-Loi, F.1
  • 4
    • 0023997843 scopus 로고
    • On the existence of optimal solutions to mathematical program with equilibrium constraints
    • Harker P.T., and Pang J.-.S. On the existence of optimal solutions to mathematical program with equilibrium constraints. Operations Research Letters 7 (1988) 61-64
    • (1988) Operations Research Letters , vol.7 , pp. 61-64
    • Harker, P.T.1    Pang, J.-.S.2
  • 5
    • 0010165388 scopus 로고
    • Double penalty method for bilevel optimization problems
    • Anandalingam G., and Friesz T.L. (Eds), Baltzer Science Publishers, Basel
    • Ishizuka Y., and Aiyoshi E. Double penalty method for bilevel optimization problems. In: Anandalingam G., and Friesz T.L. (Eds). Annals of Operations Research (1992), Baltzer Science Publishers, Basel 73-88
    • (1992) Annals of Operations Research , pp. 73-88
    • Ishizuka, Y.1    Aiyoshi, E.2
  • 6
    • 33746247134 scopus 로고
    • Regularizations for two-level optimization problems
    • Springer, Berlin
    • Ishizuka Y., and Aiyoshi E. Regularizations for two-level optimization problems. Advances in Optimization (1992), Springer, Berlin 239-255
    • (1992) Advances in Optimization , pp. 239-255
    • Ishizuka, Y.1    Aiyoshi, E.2
  • 7
    • 0023455739 scopus 로고
    • Equilibrium decomposed optimization: A heuristic for the continuous equilibrium network design problem
    • Suwansirikul C., Friesz T.L., and Robin R.L. Equilibrium decomposed optimization: A heuristic for the continuous equilibrium network design problem. Transportation Science 21 (1987) 254-263
    • (1987) Transportation Science , vol.21 , pp. 254-263
    • Suwansirikul, C.1    Friesz, T.L.2    Robin, R.L.3
  • 8
    • 0026820330 scopus 로고
    • A simulated annealing approach to the network design problem with variational inequality constraints
    • Friesz T.L., Cho H.-J., Mehta N.J., Tobin R.L., and Anandalingam G. A simulated annealing approach to the network design problem with variational inequality constraints. Transportation Science 26 (1992) 18-26
    • (1992) Transportation Science , vol.26 , pp. 18-26
    • Friesz, T.L.1    Cho, H.-J.2    Mehta, N.J.3    Tobin, R.L.4    Anandalingam, G.5
  • 9
    • 0030517292 scopus 로고    scopus 로고
    • Some non-interior continuation methods for linear complementarity problems
    • Kanzow C. Some non-interior continuation methods for linear complementarity problems. SIAM Journal on Matrix Analysis and Applications 17 (1996) 851-868
    • (1996) SIAM Journal on Matrix Analysis and Applications , vol.17 , pp. 851-868
    • Kanzow, C.1
  • 10
    • 0001787420 scopus 로고    scopus 로고
    • Convergence of smoothing continuation method for mathematical programs with complementarity constraints
    • Thera M., and Tichatschke R. (Eds), Springer, Berlin
    • Fukushima M., and Pang J.-S. Convergence of smoothing continuation method for mathematical programs with complementarity constraints. In: Thera M., and Tichatschke R. (Eds). Lecture Notes in Economics and Mathematical Systems (2000), Springer, Berlin 99-110
    • (2000) Lecture Notes in Economics and Mathematical Systems , pp. 99-110
    • Fukushima, M.1    Pang, J.-S.2
  • 12
    • 0030648982 scopus 로고    scopus 로고
    • On the entropic regularization method for solving min-max problems with applications
    • 119V130
    • Li X.-.S., and Fang S.-.C. On the entropic regularization method for solving min-max problems with applications. Mathematical Methods of Operations Research 46 (1997) 119V130
    • (1997) Mathematical Methods of Operations Research , vol.46
    • Li, X.-.S.1    Fang, S.-.C.2
  • 15
    • 0346636333 scopus 로고
    • Decision making in a fuzzy environment
    • Bellman R., and Zadeh L.A. Decision making in a fuzzy environment. Management Science 17(B) (1970) 141-164
    • (1970) Management Science , vol.17 B , pp. 141-164
    • Bellman, R.1    Zadeh, L.A.2
  • 17
    • 0002308880 scopus 로고    scopus 로고
    • Variational inequality with fuzzy convex cone
    • Wang H.F., and Liao H.L. Variational inequality with fuzzy convex cone. Journal of Global Optimization 14 4 (1999) 395-414
    • (1999) Journal of Global Optimization , vol.14 , Issue.4 , pp. 395-414
    • Wang, H.F.1    Liao, H.L.2
  • 18
    • 0023381033 scopus 로고
    • An interactive fuzzy programming system
    • Werners B. An interactive fuzzy programming system. Fuzzy Sets and Systems 23 (1987) 131-147
    • (1987) Fuzzy Sets and Systems , vol.23 , pp. 131-147
    • Werners, B.1
  • 20
    • 0000748472 scopus 로고
    • A regularization method for solving the finite convex min-max problem
    • Gigola C., and Gomez S. A regularization method for solving the finite convex min-max problem. SIAM Journal on Numerical Analysis 27 (1990) 1621-1634
    • (1990) SIAM Journal on Numerical Analysis , vol.27 , pp. 1621-1634
    • Gigola, C.1    Gomez, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.