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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 17, 1986 - Issue 6
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Original Articles

Uniform convergence and Pareto optimality

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Pages 723-729 | Received 01 Jun 1985, Published online: 27 Jun 2007

References

  • Charnes , A. and Cooper , W.W. 1961 . Management Models and Industrial Applications of Linear Programming , Vol. 1 , New York : J. Wiley and Sons .
  • Cohon , J.L. , Church , R.L. and Sheer , D.P. 1979 . Generating multiobjective trade-offs: an algorithm for bicriterion problems . Water Resources Res , 15 ( 5 ) : 1001 – 1010 .
  • Dubov , Y.A. 1981 . Stability of Pareto values and e-uniform solutions . Avtomatika i Telemehanika , 6 ( 5 ) : 139 – 145 . in Russian
  • Ecker , J.G. and Kouada , I.A. 1978 . Finding all efficient extreme points for multiple objective linear programs . Mathematical Programming , 14 ( 2 ) : 249 – 261 .
  • Gal , T. 1977 . A general method for determining the set of all efficient solutions to a linear vector maximum problem . Europ. J. Oper. Res , 1 ( 5 ) : 307 – 322 .
  • Isermann , H. 1979 . The enumeration of all efficient solutions for a linear multiple-objective transportation problem . Naval Res. Logistics Quart , 26 ( 1 ) : 123 – 140 .
  • Jameson , G. 1970 . “ Ordered linear spaces ” . In Lecture Notes in Mathematics , Vol. 141 , Berlin : Springer-Verlag .
  • Kanniappan , P. and Sastry , S.M.A. 1983 . Uniform convergence of convex optimization problems . Journal of Mathematical Analysis and Applications , 96 ( 1 ) : 1 – 12 .
  • Naccache , P.H. 1979 . Stability in multicriteria optimization . Journal of Mathematical Analysis and Applications , 68 ( 1 ) : 441 – 453 .
  • Pebevozchikov , A.G. 1983 . “ Semicontinuity of Pabeto optimal principles ” . In Vestnik Mosk. Un-ta , 15 Vol. 3 , 48 – 50 . Yychisliteljnaya matematika i kibernetika . in Russian
  • Podinovski , V.V. and Nogin , V.D. 1982 . Pareto optimal solutions for multicriteria problems , Moskva : Nauka . in Russian
  • Tanino , T. and Sawaragi , Y. 1980 . Stability of nondominated solutions in multicriteria decision-making . Journal of Optimization Theory and Applications , 30 ( 2 ) : 229 – 253 .
  • Yu , P.L. and Zeleny , M. 1975 . The set of all nondominated solutions in linear cases and a multicriteria simplex method . Journal of Mathematical Analysis and Applications , 49 ( 2 ) : 430 – 468 .
  • Zlobec , S. and Ben-Israel , A. 1979 . Perturbed convex programs: continuity of optimal solutions and optimal values . Operations Research Varfahren , XXXI ( 1 ) : 737 – 749 .
  • Zlobec , S. , Gardner , R. and Ben-Israel , A. 1981 . “ Region of stability for arbitrarily perturbed convex programs ” . In Mathematical programming with data perturbation , Edited by: Fiacco , A. 69 – 89 . New York : M.Dekker .
  • Zlobec , S. 1981 . Regions of stability for ill-posed convex programs . Aplikace Matematiky , 27

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