solving multiobjective linear programming problems using ball center of polytopes
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abstract
here, we aim to develop a new algorithm for solving a multiobjective linear programming problem. the algorithm is to obtain a solution which approximately meets the decision maker's preferences. it is proved that the proposed algorithm always converges to a weak efficient solution and at times converges to an efficient solution. numerical examples and a simulation study are used to illustrate the performance of the proposed algorithm.
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Journal title:
bulletin of the iranian mathematical societyجلد ۴۲، شماره Issue ۷ (Special Issue)، صفحات ۶۷-۸۸
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