A hybrid COA$\epsilon$-constraint method for solving multi-objective problems

TL;DR

This paper introduces a hybrid approach combining the epsilon-constraint method with the Cuckoo optimization algorithm to effectively solve multi-objective problems, producing accurate and well-dispersed Pareto frontiers.

Contribution

The paper presents a novel hybrid method that integrates epsilon-constraint with Cuckoo algorithm, enhancing solution accuracy and Pareto frontier dispersion for multi-objective optimization.

Findings

The proposed method achieves high accuracy in Pareto frontier approximation.

It demonstrates better dispersion of solutions compared to other methods.

The Cuckoo algorithm outperforms traditional algorithms in multi-objective problems.

Abstract

In this paper, a hybrid method for solving multi-objective problem has been provided. The proposed method is combining the {\epsilon}-Constraint and the Cuckoo algorithm. First the multi objective problem transfers into a single-objective problem using $\epsilon$-Constraint, then the Cuckoo optimization algorithm will optimize the problem in each task. At last the optimized Pareto frontier will be drawn. The advantage of this method is the high accuracy and the dispersion of its Pareto frontier. In order to testing the efficiency of the suggested method, a lot of test problems have been solved using this method. Comparing the results of this method with the results of other similar methods shows that the Cuckoo algorithm is more suitable for solving the multi-objective problems.