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MEALS: A multiobjective evolutionary algorithm with local search for solving the bi-objective ring star problem

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  • Calvete, Herminia I.
  • Galé, Carmen
  • Iranzo, José A.

Abstract

In this paper we develop a hybrid metaheuristic for approaching the Pareto front of the bi-objective ring star problem. This problem consists of finding a simple cycle (ring) through a subset of nodes of a network. The aim is to minimize both the cost of connecting the nodes in the ring and the cost of allocating the nodes not in the ring to nodes in the ring. The algorithm preserves the general characteristics of a multiobjective evolutionary algorithm and embeds a local search procedure which deals with multiple objectives. The encoding scheme utilized leads to solving a Traveling Salesman Problem in order to compute the ring associated with the chromosome. This allows the algorithm to implicitly discard feasible solutions which are not efficient. The algorithm also includes an ad-hoc initial population construction which contributes to diversification. Extensive computational experiments using benchmark problems show the performance of the algorithm and reveal the noteworthy contribution of the local search procedure.

Suggested Citation

  • Calvete, Herminia I. & Galé, Carmen & Iranzo, José A., 2016. "MEALS: A multiobjective evolutionary algorithm with local search for solving the bi-objective ring star problem," European Journal of Operational Research, Elsevier, vol. 250(2), pages 377-388.
    • Handle: RePEc:eee:ejores:v:250:y:2016:i:2:p:377-388
    DOI: 10.1016/j.ejor.2015.09.044
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    References listed on IDEAS

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    Cited by:

    1. Herminia I. Calvete & Carmen Galé & José A. Iranzo, 2022. "Approaching the Pareto Front in a Biobjective Bus Route Design Problem Dealing with Routing Cost and Individuals’ Walking Distance by Using a Novel Evolutionary Algorithm," Mathematics, MDPI, vol. 10(9), pages 1-17, April.
    2. Pablo A. Miranda-Gonzalez & Javier Maturana-Ross & Carola A. Blazquez & Guillermo Cabrera-Guerrero, 2021. "Exact Formulation and Analysis for the Bi-Objective Insular Traveling Salesman Problem," Mathematics, MDPI, vol. 9(21), pages 1-33, October.
    3. Xujin Chen & Xiaodong Hu & Xiaohua Jia & Zhongzheng Tang & Chenhao Wang & Ying Zhang, 0. "Algorithms for the metric ring star problem with fixed edge-cost ratio," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-25.
    4. Xujin Chen & Xiaodong Hu & Xiaohua Jia & Zhongzheng Tang & Chenhao Wang & Ying Zhang, 2021. "Algorithms for the metric ring star problem with fixed edge-cost ratio," Journal of Combinatorial Optimization, Springer, vol. 42(3), pages 499-523, October.

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