Multi-Objective Crystal Structure Algorithm (MOCryStAl): Introduction and Performance Evaluation

Abstract

In many optimization problems, the main goal is to improve a single performance index in which a minimum or maximum value of this index fully reflects the quality of the response obtained from a system. However, in some cases, it is impossible to rely solely on a single index, so a multiobjective optimization problem with multiple performance indicators is considered where the values of all of them should be optimized simultaneously. The mentioned process requires a multi-objective optimization algorithm that can deal with the complexity of problems with simultaneous indexes. This paper presents the multi-objective version of a recently proposed metaheuristic algorithm called Crystal Structure Algorithm (CryStAl) which was inspired by the principles underlying the formation crystal structures. For the performance evaluation of this algorithm which is called MOCryStAl, the benchmark problems of the Completions on Evolutionary Computation (CEC) on multi-objective optimization, called CEC-09, are utilized. Some real-world engineering design problems are used to evaluate the efficiency of the proposed approach. The results demonstrate that the proposed methods can provide excellent results in dealing with the considered multi-objective problems.INDEX TERMS Multi-objective optimization, metaheuristic, crystal structure algorithm (CryStAl), completions on evolutionary computation (CEC), real-world engineering design problem.

Multi-objective chaos game optimization

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An Archive-Based Multi-Objective Arithmetic Optimization Algorithm for Solving Industrial Engineering Problems

“…A multi-objective version of the Crystal Structure Algorithm (MOCryStAl) was recently presented by Khodadadi et al [35], and it was motivated by the ideas of crystal structure creation. This algorithm's three primary mechanisms were the grid, leader selection, and archive.…”

Multiple objective immune wolf colony algorithm for solving time-cost-quality trade-off problem

“…Finally, I-MFO is used to solve practical mechanical engineering problems. In Khodadadi N, Azizi M, Talatahari S, Sareh P [ 28 ] considering the multi-objective optimization problem of multiple performance indicators inspired by the principle of crystal structure formation, a meta heuristic algorithm called the Crystal Structure algorithm (Crystal) is proposed, and the algorithm is evaluated. The results show that the algorithm provides excellent results when dealing with multi-objective problems.…”