Zohra Sabrina DELHOUM, Sonia RADJEF, Fatima BOUDAOUD

11491

Generation of efficient and $\epsilon$-efficient solutions in multiple objective linear programming

Generation of efficient and $\epsilon$-efficient solutions in multiple objective linear programming

We develop an algorithm to solve a multiple objective linear programming problem with bounded variables. It is based on the scalarization theorem of optimal solutions of multiobjective linear programs and the single objective adaptive method. We suggest a process for the search for the first efficient solution without having to calculate a feasible solution, and we elaborate a method to generate efficient solutions, weakly efficient solutions, and $\epsilon$-efficient solutions. Supporting theoretical results are established and the method is demonstrated on a numerical example.
Keywords:

Multiobjective linear program, bounded variables, $\epsilon$-optimality criterion, adaptive method efficiency, weak efficiency, $\epsilon$-efficiency,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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