solving multiobjective linear programming problems using ball center of polytopes

نویسندگان

m. a. yaghoobi

department of applied mathematics‎, ‎faculty of mathematics and computer‎, ‎shahid bahonar university of kerman‎, ‎kerman‎, ‎iran. a. h. dehmiry

department of applied mathematics‎, ‎faculty of mathematics and computer‎, ‎shahid bahonar university of kerman‎, ‎kerman‎, ‎iran.

چکیده

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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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۲، شماره Issue ۷ (Special Issue)، صفحات ۶۷-۸۸

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