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Stability of linear vector optimization problems corresponding to an efficient set

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  • El-Banna, Abou-Zaid H.
  • Zarea, Sana’a A.

Abstract

This paper deals with the set of all parameters corresponding to the set of all efficient points of parametric linear multiobjective programming problems. Here, we consider two classes of parametric optimization problems one of them is parameters in the objective functions and the other is parameters in the right-hand side of the constraints. An algorithm for determining this set is given. Some illustrative examples are given to clarify this algorithm.

Suggested Citation

  • El-Banna, Abou-Zaid H. & Zarea, Sana’a A., 2001. "Stability of linear vector optimization problems corresponding to an efficient set," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(6), pages 335-345.
    • Handle: RePEc:eee:matcom:v:57:y:2001:i:6:p:335-345
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    References listed on IDEAS

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    1. Osman, Mohamed S. & El-Banna, Abou-Zaid H., 1993. "Stability of multiobjective nonlinear programming problems with fuzzy parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(4), pages 321-326.
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    Cited by:

    1. Dorota Kuchta, 2011. "A concept of a robust solution of a multicriterial linear programming problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(4), pages 605-613, December.

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