Metaheuristics for the bi-objective ring star problem

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Abstract

The bi-objective ring star problem aims to locate a cycle through a subset of nodes of a graph while optimizing two types of cost. The first criterion is to minimize a ring cost, related to the length of the cycle, whereas the second one is to minimize an assignment cost, from non-visited nodes to visited ones. In spite of its natural multi-objective formulation, this problem has never been investigated in such a way. In this paper, three metaheuristics are designed to approximate the whole set of efficient solutions for the problem under consideration. Computational experiments are performed on well-known benchmark test instances, and the proposed methods are rigorously compared to each other using different performance metrics. © 2008 Springer-Verlag Berlin Heidelberg.

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Liefooghe, A., Jourdan, L., Basseur, M., Talbi, E. G., & Burke, E. K. (2008). Metaheuristics for the bi-objective ring star problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4972 LNCS, pp. 206–217). https://doi.org/10.1007/978-3-540-78604-7_18

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