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A combined fast greedy heuristic for the capacitated multicommodity network design problem

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  • Naoto Katayama

Abstract

The capacitated multicommodity network design problem represents a network design system and has a wide range of real-life applications, such as the construction of logistics networks, transportation networks, communication networks, and production networks. In this article, we introduce a fast greedy algorithm for solving the capacitated multicommodity network design problem. The greedy algorithm is based on link-rerouting and partial link-rerouting heuristics for the uncapacitated multicommodity network design problem. This algorithm involves a capacity scaling for reducing the number of candidate arcs and a restricted branch-and-bound for improving solutions. The algorithm succeeds in finding good solutions within a short computation time. The average computation time for solving benchmark problem instances is only several tens of seconds.

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  • Naoto Katayama, 2019. "A combined fast greedy heuristic for the capacitated multicommodity network design problem," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(11), pages 1983-1996, November.
    • Handle: RePEc:taf:tjorxx:v:70:y:2019:i:11:p:1983-1996
    DOI: 10.1080/01605682.2018.1500977
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    Cited by:

    1. Naoto Katayama, 2020. "MIP neighborhood search heuristics for a service network design problem with design-balanced requirements," Journal of Heuristics, Springer, vol. 26(4), pages 475-502, August.
    2. Khodakaram Salimifard & Sara Bigharaz, 2022. "The multicommodity network flow problem: state of the art classification, applications, and solution methods," Operational Research, Springer, vol. 22(1), pages 1-47, March.

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