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Volumn 117, Issue 3, 2003, Pages 503-531

Simplicially-constrained DC optimization over efficient and weakly efficient sets

Author keywords

convex envelopes; DC programming; exact penalty functions; Optimization over efficient sets; optimization over weakly efficient sets; simplicially constrained DC optimization

Indexed keywords

PROBLEM SOLVING;

EID: 0037865630     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023993504522     Document Type: Article
Times cited : (17)

References (24)
  • 3
    • 0002393742 scopus 로고
    • An All-Linear Programming Relaxation Algorithm for Optimizing over the Efficient Set
    • BENSON, H. P., An All-Linear Programming Relaxation Algorithm for Optimizing over the Efficient Set, Journal of Global Optimization, Vol. 1, pp. 83-104, 1991.
    • (1991) Journal of Global Optimization , vol.1 , pp. 83-104
    • Benson, H.P.1
  • 4
    • 0026853797 scopus 로고
    • A Finite, Nonadjacent Extreme-Point Search Algorithm for Optimization over the Efficient Set
    • BENSON, H. P., A Finite, Nonadjacent Extreme-Point Search Algorithm for Optimization over the Efficient Set, Journal of Optimization Theory and Applications, Vol. 73, pp. 47-64, 1992.
    • (1992) Journal of Optimization Theory and Applications , vol.73 , pp. 47-64
    • Benson, H.P.1
  • 5
    • 0022711569 scopus 로고
    • An Algorithm for Optimization over the Weakly Efficient Set
    • BENSON, H. P., An Algorithm for Optimization over the Weakly Efficient Set, European Journal of Operational Research, Vol. 25, pp. 192-199, 1988.
    • (1988) European Journal of Operational Research , vol.25 , pp. 192-199
    • Benson, H.P.1
  • 6
    • 0027647323 scopus 로고
    • Minimization of a Quasiconcave Function over an Efficient Set
    • BOLINTINEANU, S., Minimization of a Quasiconcave Function over an Efficient Set, Mathematical Programming, Vol. 61, pp. 89-110, 1993.
    • (1993) Mathematical Programming , vol.61 , pp. 89-110
    • Bolintineanu, S.1
  • 7
    • 0031523288 scopus 로고    scopus 로고
    • Utility Function Programs and Optimization over the Efficient Set in Multiple-Objective Decision Making
    • HORST, R., and THOAI, N. V., Utility Function Programs and Optimization over the Efficient Set in Multiple-Objective Decision Making, Journal of Optimization Theory and Applications, Vol. 92, pp. 605-631, 1997.
    • (1997) Journal of Optimization Theory and Applications , vol.92 , pp. 605-631
    • Horst, R.1    Thoai, N.V.2
  • 9
    • 9744223855 scopus 로고    scopus 로고
    • Contribution à l'Optimisation Non Convexe et l'Optimisation Globale: Théorie, Algorithmes, et Applications
    • Université de Rouen, Rouen, France
    • LE THI, H. A., Contribution à l'Optimisation Non Convexe et l'Optimisation Globale: Théorie, Algorithmes, et Applications, Habilitation à Diriger des Recherches, Université de Rouen, Rouen, France, 1997.
    • (1997) Habilitation à Diriger des Recherches
    • Le Thi, H.A.1
  • 10
    • 0001290246 scopus 로고    scopus 로고
    • Optimization Approach for Optimizing over the Efficient Set
    • LE THI, H. A., PHAM DINH, T., and MUU, L. D., DC., Optimization Approach for Optimizing over the Efficient Set, Operations Research Letters, Vol. 19, pp. 117-128, 1996.
    • (1996) Operations Research Letters , vol.19 , pp. 117-128
    • Le Thi, H.A.1    Pham Dinh, T.2    Muu, L.D.3
  • 11
    • 0002627338 scopus 로고    scopus 로고
    • A Global Optimization Approach to Optimization over the Efficient Set
    • Springer, Berlin, Germany
    • LUC, L. T., and MUU, L. D., A Global Optimization Approach to Optimization over the Efficient Set, Lecture Notes in Economics and Mathematical Systems, Springer, Berlin, Germany, Vol. 452 pp. 183-196, 1997.
    • (1997) Lecture Notes in Economics and Mathematical Systems , vol.452 , pp. 183-196
    • Luc, L.T.1    Muu, L.D.2
  • 12
    • 0001202830 scopus 로고    scopus 로고
    • On Equivalence between Convex Maximization and Optimization over the Efficient Set
    • MUU, L. D., and LUC, L. T., On Equivalence between Convex Maximization and Optimization over the Efficient Set, Vietnam Journal of Mathematics, Vol. 24, pp. 439-445, 1996.
    • (1996) Vietnam Journal of Mathematics , vol.24 , pp. 439-445
    • Muu, L.D.A.1    Luc, L.T.2
  • 13
    • 0001788142 scopus 로고
    • Computational Aspects of Optimization over the Efficient Set
    • MUU, L. D., Computational Aspects of Optimization over the Efficient Set, Vietnam Journal of Mathematics, Vol. 23, pp. 85-106, 1995.
    • (1995) Vietnam Journal of Mathematics , vol.23 , pp. 85-106
    • Muu, L.D.1
  • 14
    • 0000939953 scopus 로고    scopus 로고
    • Convex Analysis Approach to DC Programming: Theory, Algorithms, and Applications
    • PHAM DINH, T., and LE THI, H. A., Convex Analysis Approach to DC Programming: Theory, Algorithms, and Applications, Acta Mathematica Vietnamica, Vol. 22, pp. 289-355, 1997.
    • (1997) Acta Mathematica Vietnamica , vol.22 , pp. 289-355
    • Pham Dinh, T.1    Le Thi, H.A.2
  • 15
    • 0001053761 scopus 로고
    • Algorithms for the Vector Maximization Problem
    • PHILLIP, J., Algorithms for the Vector Maximization Problem, Mathematical Programming, Vol. 2, pp. 207-229, 1972.
    • (1972) Mathematical Programming , vol.2 , pp. 207-229
    • Phillip, J.1
  • 17
    • 85047103342 scopus 로고
    • DC Sets, DC Functions, and Nonlinear Equations
    • THACH P. T., DC Sets, DC Functions, and Nonlinear Equations, Mathematical Programming, Vol. 58, pp. 415-428, 1993.
    • (1993) Mathematical Programming , vol.58 , pp. 415-428
    • Thach, P.T.1
  • 20
    • 0002986031 scopus 로고
    • A Cutting Plane Algorithm for Linear Optimization over the Efficient Set
    • Edited by S. Komlosi, T. Rapcsak, and S. Schaible, Springer, Berlin, Germany
    • FÜTÖP, J., A Cutting Plane Algorithm for Linear Optimization over the Efficient Set, Generalized Convexity, Edited by S. Komlosi, T. Rapcsak, and S. Schaible, Springer, Berlin, Germany, pp. 374-385, 1994.
    • (1994) Generalized Convexity , pp. 374-385
    • Fütöp, J.1
  • 21
    • 0002513931 scopus 로고    scopus 로고
    • Parametric Simplex Method for Optimizing a Linear Function over the Efficient Set of a Bicriteria Linear Problem
    • DAN, N. D., and MUU, L. D., Parametric Simplex Method for Optimizing a Linear Function over the Efficient Set of a Bicriteria Linear Problem, Acta Mathematica Vietnamica, Vol. 21, pp. 59-67, 1996.
    • (1996) Acta Mathematica Vietnamica , vol.21 , pp. 59-67
    • Dan, N.D.1    Muu, L.D.2
  • 22
    • 0016986845 scopus 로고
    • A Successive Underestimation Method for Concave Minimization Problems
    • FALK, J. E., and HOFFMAN, K. L., A Successive Underestimation Method for Concave Minimization Problems, Mathematics of Operations Research, Vol. 1, pp. 251-259, 1976.
    • (1976) Mathematics of Operations Research , vol.1 , pp. 251-259
    • Falk, J.E.1    Hoffman, K.L.2
  • 24
    • 0002407954 scopus 로고
    • Effect of Subdivision Strategy on Convergence and Efficiency of Some Global Optimization Algorithms
    • TUY, H., Effect of Subdivision Strategy on Convergence and Efficiency of Some Global Optimization Algorithms, Journal Global Optimization, Vol. 1, pp. 23-33, 1991.
    • (1991) Journal Global Optimization , vol.1 , pp. 23-33
    • Tuy, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.