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Computation of ideal and Nadir values and implications for their use in MCDM methods

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  • Ehrgott, Matthias
  • Tenfelde-Podehl, Dagmar

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  • Ehrgott, Matthias & Tenfelde-Podehl, Dagmar, 2003. "Computation of ideal and Nadir values and implications for their use in MCDM methods," European Journal of Operational Research, Elsevier, vol. 151(1), pages 119-139, November.
    • Handle: RePEc:eee:ejores:v:151:y:2003:i:1:p:119-139
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    1. Horst, Reiner & Thoai, Nguyen V., 1999. "Maximizing a concave function over the efficient or weakly-efficient set," European Journal of Operational Research, Elsevier, vol. 117(2), pages 239-252, September.
    2. Kok, M. & Lootsma, F. A., 1985. "Pairwise-comparison methods in multiple objective programming, with applications in a long-term energy-planning model," European Journal of Operational Research, Elsevier, vol. 22(1), pages 44-55, October.
    3. Namorado Climaco, Joao Carlos & Queiros Vieira Martins, Ernesto, 1982. "A bicriterion shortest path algorithm," European Journal of Operational Research, Elsevier, vol. 11(4), pages 399-404, December.
    4. Pekka Korhonen & Seppo Salo & Ralph E. Steuer, 1997. "A Heuristic for Estimating Nadir Criterion Values in Multiple Objective Linear Programming," Operations Research, INFORMS, vol. 45(5), pages 751-757, October.
    5. Solanki, Rajendra S. & Appino, Perry A. & Cohon, Jared L., 1993. "Approximating the noninferior set in multiobjective linear programming problems," European Journal of Operational Research, Elsevier, vol. 68(3), pages 356-373, August.
    6. 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.
    7. Lee, Haijune & Simin Pulat, P., 1993. "Bicriteria network flow problems: Integer case," European Journal of Operational Research, Elsevier, vol. 66(1), pages 148-157, April.
    8. 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.
    9. Ramos, R. M. & Alonso, S. & Sicilia, J. & Gonzalez, C., 1998. "The problem of the optimal biobjective spanning tree," European Journal of Operational Research, Elsevier, vol. 111(3), pages 617-628, December.
    10. E. U. Choo & D. R. Atkins, 1983. "Proper Efficiency in Nonconvex Multicriteria Programming," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 467-470, August.
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