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An approach to the asymmetric multi-depot capacitated arc routing problem

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  • Krushinsky, Dmitry
  • Van Woensel, Tom

Abstract

Despite the fact that the Capacitated Arc Routing Problems (CARPs) received substantial attention in the literature, most of the research concentrates on the symmetric and single-depot version of the problem. In this paper, we fill this gap by proposing an approach to solving a more general version of the problem and analysing its properties. We present an MILP formulation that accommodates asymmetric multi-depot case and consider valid inequalities that may be used to tighten its LP relaxation. A symmetry breaking scheme for a single-depot case is also proposed. An extensive numerical study is carried to investigate the properties of the problem and the proposed solution approach.

Suggested Citation

  • Krushinsky, Dmitry & Van Woensel, Tom, 2015. "An approach to the asymmetric multi-depot capacitated arc routing problem," European Journal of Operational Research, Elsevier, vol. 244(1), pages 100-109.
    • Handle: RePEc:eee:ejores:v:244:y:2015:i:1:p:100-109
    DOI: 10.1016/j.ejor.2015.01.005
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    References listed on IDEAS

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    1. Enrico Bartolini & Jean-François Cordeau & Gilbert Laporte, 2013. "An Exact Algorithm for the Capacitated Arc Routing Problem with Deadheading Demand," Operations Research, INFORMS, vol. 61(2), pages 315-327, April.
    2. Claudia Bode & Stefan Irnich, 2012. "Cut-First Branch-and-Price-Second for the Capacitated Arc-Routing Problem," Operations Research, INFORMS, vol. 60(5), pages 1167-1182, October.
    3. Bode, Claudia & Irnich, Stefan, 2014. "The shortest-path problem with resource constraints with (k,2)-loop elimination and its application to the capacitated arc-routing problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 415-426.
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    Cited by:

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    3. Li, Jiliu & Qin, Hu & Shen, Huaxiao & Tsui, Kwok Leung, 2019. "The unilateral transportation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 1-29.

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