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Optimization over the efficient set of a parametric multiple objective linear programming problem

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  • Tu, Ta Van

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  • Tu, Ta Van, 2000. "Optimization over the efficient set of a parametric multiple objective linear programming problem," European Journal of Operational Research, Elsevier, vol. 122(3), pages 570-583, May.
    • Handle: RePEc:eee:ejores:v:122:y:2000:i:3:p:570-583
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    References listed on IDEAS

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    1. Dessouky, M. I. & Ghiassi, M. & Davis, W. J., 1986. "Estimates of the minimum nondominated criterion values in multiple-criteria decision-making," Engineering Costs and Production Economics, Elsevier, vol. 10(2), pages 95-104, June.
    2. R. Horst & N. V. Thoai, 1997. "Utility Function Programs and Optimization over the Efficient Set in Multiple-Objective Decision Making," Journal of Optimization Theory and Applications, Springer, vol. 92(3), pages 605-631, March.
    3. Benson, Harold P., 1986. "An algorithm for optimizing over the weakly-efficient set," European Journal of Operational Research, Elsevier, vol. 25(2), pages 192-199, May.
    4. Gal, Tomas, 1977. "A general method for determining the set of all efficient solutions to a linear vectormaximum problem," European Journal of Operational Research, Elsevier, vol. 1(5), pages 307-322, September.
    5. Éva Tardos, 1986. "A Strongly Polynomial Algorithm to Solve Combinatorial Linear Programs," Operations Research, INFORMS, vol. 34(2), pages 250-256, April.
    6. Reeves, Gary R. & Reid, Randall C., 1988. "Minimum values over the efficient set in multiple objective decision making," European Journal of Operational Research, Elsevier, vol. 36(3), pages 334-338, September.
    7. White, D. J., 1996. "The maximization of a function over the efficient set via a penalty function approach," European Journal of Operational Research, Elsevier, vol. 94(1), pages 143-153, October.
    8. Tu, T.V., 1996. "On generalized linear multiple objective programming," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 7(3-4), pages 361-381.
    9. T. H. Matheiss & David S. Rubin, 1980. "A Survey and Comparison of Methods for Finding All Vertices of Convex Polyhedral Sets," Mathematics of Operations Research, INFORMS, vol. 5(2), pages 167-185, May.
    10. Harold P. Benson & Serpil Sayin, 1993. "A face search heuristic algorithm for optimizing over the efficient set," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 103-116, February.
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    Cited by:

    1. Hadi-Vencheh, Abdollah & Foroughi, Ali Asghar & Soleimani-damaneh, Majid, 2008. "A DEA model for resource allocation," Economic Modelling, Elsevier, vol. 25(5), pages 983-993, September.

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