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Sensitivity Analysis Of Weak Efficiency In Multiple Objective Linear Programming


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    (Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland)

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    This paper, studies the sensitivity analysis of weakly efficient extreme solutions in multiple objective linear programming (MOLP). The aim of the paper is to compute the set of the parameters (corresponding to one coefficient) for which a given extreme point is a weakly efficient solution. We also focus on the properties of the parameters set by proving convexity and closeness of this set. Moreover, we compare the results of the sensitivity analysis of efficiency and of weak efficiency in MOLP.

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    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal Asia-Pacific Journal of Operational Research.

    Volume (Year): 28 (2011)
    Issue (Month): 04 ()
    Pages: 445-455

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    Handle: RePEc:wsi:apjorx:v:28:y:2011:i:04:p:445-455

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    Keywords: Multiple objective linear programming; sensitivity analysis; weak efficiency;


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    Cited by:
    1. Hladík, Milan & Sitarz, Sebastian, 2013. "Maximal and supremal tolerances in multiobjective linear programming," European Journal of Operational Research, Elsevier, vol. 228(1), pages 93-101.


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