10.30495/ijm2c.2022.1933759.1218

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

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

Received: 21-06-2021

Accepted: 15-10-2022

Published in Issue 01-12-2022

Copyright (c) 2024 International Journal of Mathematical Modeling & Computations

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Alimorad, H. (2022). A Simple and Efficient Method for Solving Multi-Objective Programming Problems and Multi-Objective Optimal Controls. International Journal of Mathematical Modelling & Computations, 12(4), 213-224. https://doi.org/10.30495/ijm2c.2022.1933759.1218
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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.

Keywords

  • Pareto solution, Multi-objective optimal control problem, Programming problem, Nondominated solution,
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