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

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJMAC-12-4_001

تاریخ نمایه سازی: 22 فروردین 1402

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:

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

Authors

Hajar Alimorad

Department of Mathematics, Jahrom University, P. O. Box: ۷۴۱۳۵-۱۱۱, Jahrom, Iran