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

Publish Year: 1401
Type: Journal paper
Language: English
View: 211

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Document National Code:

JR_IJMAC-12-4_001

Index date: 11 April 2023

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

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

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

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

Hajar Alimorad

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