An adaptive method to solve multilevel multiobjective linear programming problems

This paper is a follow-up to a previous work where we defined and generated the set of all the possible compromises of multilevel multiobjective linear programming problems (ML-MOLPP). In this paper, we introduce a new algorithm to solve ML-MOLPP in which the adaptive method of linear programming is...

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Vydáno v:arXiv.org
Hlavní autoři: Mustapha Kaci, Radjef, Sonia
Médium: Paper
Jazyk:angličtina
Vydáno: Ithaca Cornell University Library, arXiv.org 27.10.2022
Témata:
Algorithms
Linear programming
ISSN:2331-8422
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Abstract This paper is a follow-up to a previous work where we defined and generated the set of all the possible compromises of multilevel multiobjective linear programming problems (ML-MOLPP). In this paper, we introduce a new algorithm to solve ML-MOLPP in which the adaptive method of linear programming is nested. First, we start by generating the set of all the possible compromises (set of all non-dominated solutions). After that, an algorithm based on the adaptive method of linear programming is developed to select the best compromise among all the possible compromises achieved. Finally, all the construction stages are carefully checked and illustrated with a numerical example.
AbstractList This paper is a follow-up to a previous work where we defined and generated the set of all the possible compromises of multilevel multiobjective linear programming problems (ML-MOLPP). In this paper, we introduce a new algorithm to solve ML-MOLPP in which the adaptive method of linear programming is nested. First, we start by generating the set of all the possible compromises (set of all non-dominated solutions). After that, an algorithm based on the adaptive method of linear programming is developed to select the best compromise among all the possible compromises achieved. Finally, all the construction stages are carefully checked and illustrated with a numerical example.
Author Mustapha Kaci
Radjef, Sonia
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