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

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.

کلیدواژه ها:

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