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Volumn 177, Issue 16, 2007, Pages 3397-3410

Interactive balance space approach for solving multi-level multi-objective programming problems

Author keywords

Balance set; Interactive methods; Multi level programming problem; Multi objective optimization; Nonscalarized global optimization methods; Satisfactoriness

Indexed keywords

ALGORITHMS; DECISION MAKING; MATHEMATICAL PROGRAMMING; MULTIOBJECTIVE OPTIMIZATION; NUMERICAL METHODS;

EID: 34249659575     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2007.02.005     Document Type: Article
Times cited : (73)

References (25)
  • 3
    • 84974869051 scopus 로고
    • A mathematical programming model of the decentralized multi-level systems
    • Anandalingam G. A mathematical programming model of the decentralized multi-level systems. Journal of Operations Research Society 39 11 (1988) 1021-1033
    • (1988) Journal of Operations Research Society , vol.39 , Issue.11 , pp. 1021-1033
    • Anandalingam, G.1
  • 5
    • 0021479189 scopus 로고
    • Two level linear programming
    • Bialas W.F., and Karwan M.H. Two level linear programming. Management Science 30 8 (1984) 1004-1020
    • (1984) Management Science , vol.30 , Issue.8 , pp. 1004-1020
    • Bialas, W.F.1    Karwan, M.H.2
  • 7
    • 0036782161 scopus 로고    scopus 로고
    • The balance space approach to multicriteria decision making-involving the decision maker
    • Ehrgott M. The balance space approach to multicriteria decision making-involving the decision maker. Computer and Mathematics with Applications 44 (2002) 909-923
    • (2002) Computer and Mathematics with Applications , vol.44 , pp. 909-923
    • Ehrgott, M.1
  • 8
    • 0036780781 scopus 로고    scopus 로고
    • Min-max formulation of the balance number in multi-objective global optimization
    • Ehrgott M., and Galperin E.A. Min-max formulation of the balance number in multi-objective global optimization. Computer and Mathematics with Applications 44 7 (2002) 899-907
    • (2002) Computer and Mathematics with Applications , vol.44 , Issue.7 , pp. 899-907
    • Ehrgott, M.1    Galperin, E.A.2
  • 10
    • 0031532719 scopus 로고    scopus 로고
    • Pareto analysis vis-a-vis balance space approach in multi-objective global optimization
    • Galperin E.A. Pareto analysis vis-a-vis balance space approach in multi-objective global optimization. Journal of Optimization Theory and Applications 93 3 (1997) 533-545
    • (1997) Journal of Optimization Theory and Applications , vol.93 , Issue.3 , pp. 533-545
    • Galperin, E.A.1
  • 11
    • 0033076737 scopus 로고    scopus 로고
    • Retrieval and use of the balance set in multi-objective global optimization
    • Galperin E.A., and Wiecek M.M. Retrieval and use of the balance set in multi-objective global optimization. Computer and Mathematics with Applications 37 4/5 (1999) 111-123
    • (1999) Computer and Mathematics with Applications , vol.37 , Issue.4-5 , pp. 111-123
    • Galperin, E.A.1    Wiecek, M.M.2
  • 13
    • 14944342649 scopus 로고    scopus 로고
    • Set contraction algorithm for computing Pareto set in nonconvex nonsmooth multiobjective optimization
    • Galperin E.A. Set contraction algorithm for computing Pareto set in nonconvex nonsmooth multiobjective optimization. Mathematical and Computer Modeling 40 (2004) 847-859
    • (2004) Mathematical and Computer Modeling , vol.40 , pp. 847-859
    • Galperin, E.A.1
  • 14
    • 0019608634 scopus 로고
    • A representation and economic interpretation of a two-level programming problem
    • Jose F.-A., and McCarl B. A representation and economic interpretation of a two-level programming problem. Journal of Operations Research Society 32 (1991) 783-792
    • (1991) Journal of Operations Research Society , vol.32 , pp. 783-792
    • Jose, F.-A.1    McCarl, B.2
  • 17
    • 34249686090 scopus 로고    scopus 로고
    • M.S. Osman, M.A. Abo-Sinna, A.H. Amer, O.E. Emam, Interactive decision-making for three-level multi-objective non-linear programming problem, in: The 38th Annual conference on Statistics, Computer Sciences, and Operation Research 13-16 December, 2003, pp. 95-110.
  • 19
  • 20
    • 34249748931 scopus 로고    scopus 로고
    • Model and interactive algorithm of bi-level multi-objective with multiple interconnected decision makers
    • Shi X., and Xia H. Model and interactive algorithm of bi-level multi-objective with multiple interconnected decision makers. Journal of Multicriteria Decision Analysis 10 (2001) 27-34
    • (2001) Journal of Multicriteria Decision Analysis , vol.10 , pp. 27-34
    • Shi, X.1    Xia, H.2
  • 22
    • 0037411876 scopus 로고    scopus 로고
    • Fuzzy mathematical programming applied to multi-level programming problems
    • Sinha S. Fuzzy mathematical programming applied to multi-level programming problems. Computers & Operations Research 30 (2003) 1259-1268
    • (2003) Computers & Operations Research , vol.30 , pp. 1259-1268
    • Sinha, S.1
  • 23
    • 0000527046 scopus 로고
    • Bilevel and multilevel programming: a bibliography review
    • Vicent L.N., and Calamai P.H. Bilevel and multilevel programming: a bibliography review. Journal of Global Optimization 5 (1994) 291-306
    • (1994) Journal of Global Optimization , vol.5 , pp. 291-306
    • Vicent, L.N.1    Calamai, P.H.2
  • 25
    • 0041635223 scopus 로고    scopus 로고
    • Finding an efficient solution to linear bi-level programming problem: an efficient approach
    • Wen U.-P., and Lin S.-F. Finding an efficient solution to linear bi-level programming problem: an efficient approach. Journal of Global Optimization 8 (1996) 295-306
    • (1996) Journal of Global Optimization , vol.8 , pp. 295-306
    • Wen, U.-P.1    Lin, S.-F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.