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A branch-and-cut algorithm for the truck dock assignment problem with operational time constraints

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  • Gelareh, Shahin
  • Monemi, Rahimeh Neamatian
  • Semet, Frédéric
  • Goncalves, Gilles

Abstract

In this paper, we address a truck dock assignment problem with operational time constraint which has to be faced in the management of cross docks. More specifically, this problem is the subproblem of more involved problems with additional constraints and criteria. We propose a new integer programming model for this problem. The dimension of the polytope associated with the proposed model is identified by introducing a systematic way of generating linearly independent feasible solutions. Several classes of valid inequalities are also introduced. Some of them are proved to be facet-defining. Then, exact separation algorithms are described for separating cuts for classes with exponential number of constraints, and an efficient branch-and-cut algorithm solving real-life size instances in a reasonable time is provided. In most cases, the optimal solution is identified at the root node without requiring any branching.

Suggested Citation

  • Gelareh, Shahin & Monemi, Rahimeh Neamatian & Semet, Frédéric & Goncalves, Gilles, 2016. "A branch-and-cut algorithm for the truck dock assignment problem with operational time constraints," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1144-1152.
    • Handle: RePEc:eee:ejores:v:249:y:2016:i:3:p:1144-1152
    DOI: 10.1016/j.ejor.2015.09.049
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    References listed on IDEAS

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    Cited by:

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    4. Castellucci, Pedro B. & Toledo, Franklina M.B. & Costa, Alysson M., 2019. "Output maximization container loading problem with time availability constraints," Operations Research Perspectives, Elsevier, vol. 6(C).
    5. Xi, Xiang & Changchun, Liu & Yuan, Wang & Loo Hay, Lee, 2020. "Two-stage conflict robust optimization models for cross-dock truck scheduling problem under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).

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