A Simple and Efficient Method for Solving Multi-Objective Programming Problems and Multi-Objective Optimal Controls

Subject Areas : International Journal of Mathematical Modelling & Computations

Hajar Alimorad ^{1 *}

1 - Department of Mathematics, Jahrom University, P. O. Box: 74135-111, Jahrom, Iran

Received: 2021-06-21 Accepted : 2022-10-15 Published : 2022-12-01

Keywords: Pareto solution, Multi-objective optimal control problem, Programming problem, Nondominated solution,

Abstract :

In this paper, a new approach based on weighted sum algorithm is applied to solve multi-objective optimal programming problems (MOOPP) and multi-objective optimal control problems (MOOCP). In this approach, first, we change the problem into a new one whose optimal solution is obtained by solving some single-objective problems simply. Then, we prove that the optimal solutions of the two problems are equal. Numerical examples are presented to show the efficiency of the given approach.

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