Enhancing the Dhouib-Matrix-4 metaheuristic to generate the Pareto non-dominated set solutions for multi-objective travelling salesman problem: The DM4-PMO method

Autor: Souhail Dhouib, Aïda Kharrat, Taicir Loukil, Habib Chabchoub
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Control and Optimization, Vol 14, Iss , Pp 100402- (2024)
Druh dokumentu: article
ISSN: 2666-7207
DOI: 10.1016/j.rico.2024.100402
Popis: This paper focuses on the multi-objective Travelling Salesman Problem for which the aim is to find the set of efficient solutions. To obtain this Pareto set's solutions, a novel metaheuristic named DM4-PMO is proposed. The DM4-PMO is based on the first enhancement of the new Dhouib-Matrix-4 (DM4) method and composed of two steps. First, a weighted sum function with a multi variation of weights is used to find the first non-dominated pareto frontier solutions. Second, a lexicographical resolution is applied in some non-dominated solutions found in the first Pareto frontier to generate the final Pareto frontier solutions. The performance of the proposed approach is demonstrated by the experiment on two-objective problems that are taken from TSP-LIB and DIMACS datasets. The test results show that the proposed DM4-PMO is robust, fast, and simply structured, and obtain a Pareto non-dominated set solutions in short computational times using very few user-defined parameters.
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