Abstract
The capacitated single assignment hub location problem with modular link capacities is a variant of the classical hub location problem in which the cost of using edges is not linear but stepwise, and the hubs are restricted in terms of transit capacity rather than in the incoming traffic. We propose a metaheuristic algorithm based on strategic oscillation, a methodology originally introduced in the context of tabu search. Our method incorporates several designs for constructive and destructive algorithms, together with associated local search procedures, to balance diversification and intensification for an efficient search. Computational results on a large set of instances show that, in contrast to exact methods that can only solve small instances optimally, our metaheuristic is able to find high-quality solutions on larger instances in short computing times. In addition, the new method, which joins tabu search strategies with strategic oscillation, outperforms the previous tabu search implementation.
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Acknowledgments
This work was supported by the Spanish Ministerio de Economía y Competitividad (Projects TIN2012-35632-C02-01, MTM2012-36163-C06-02, TIN2015-65460-C02-01, MTM2015-68097, and Predoctoral Grant BES-2013-064245) and by the Generalitat Valenciana (Project Prometeo 2013/049). Authors thank Hande Yaman for providing us some data files for the test problems in Table 3. Authors also want to thank two anonymous referees for their many comments and suggestions on the manuscript that have helped to improve its content and readability.
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Corberán, Á., Peiró, J., Campos, V. et al. Strategic oscillation for the capacitated hub location problem with modular links. J Heuristics 22, 221–244 (2016). https://doi.org/10.1007/s10732-016-9308-7
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DOI: https://doi.org/10.1007/s10732-016-9308-7