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

محورهای موضوعی : فصلنامه ریاضی

Hajar Alimorad ¹

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

تاریخ دریافت : 1400/03/31 تاریخ پذیرش : 1401/07/23 تاریخ انتشار : 1401/09/10

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

چکیده مقاله :

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.