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

International Journal of Mathematical Modelling & Computations

مقاله 1، دوره 12، 4 (Fall) - شماره پیاپی 48، اسفند 2022، صفحه 213-224   

نوع مقاله: Full Length Article

شناسه دیجیتال (DOI): 10.30495/ijm2c.2022.1933759.1218

نویسنده

Hajar Alimorad^*

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

چکیده

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.

کلیدواژه‌ها

Multi-objective optimal control problem؛ Pareto solution؛ Programming problem؛ Nondominated solution