Metaheuristics for the linear ordering problem with cumulative costs

Abraham Duarte, Rafael Martí, Ada Álvarez and Francisco Ángel-Bello

European Journal of Operational Research, 2012, vol. 216, issue 2, 270-277

Abstract: The linear ordering problem with cumulative costs (LOPCC) is a variant of the well-known linear ordering problem, in which a cumulative propagation makes the objective function highly non-linear. The LOPCC has been recently introduced in the context of mobile-phone telecommunications. In this paper we propose two metaheuristic methods for this NP-hard problem. The first one is based on the GRASP methodology, while the second one implements an Iterated Greedy-Strategic Oscillation procedure. We also propose a post-processing based on Path Relinking to obtain improved outcomes. We compare our methods with the state-of-the-art procedures on a set of 218 previously reported instances. The comparison favors the Iterated Greedy – Strategic Oscillation with the Path Relinking post-processing, which is able to identify 87 new best objective function values.

Keywords: Combinatorial optimization; Metaheuristics; Linear ordering problem (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:216:y:2012:i:2:p:270-277

DOI: 10.1016/j.ejor.2011.07.036

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