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Truck dock assignment problem with operational time constraint within crossdocks


  • Miao, Zhaowei
  • Lim, Andrew
  • Ma, Hong


In this paper, we consider a truck dock assignment problem with an operational time constraint in crossdocks where the number of trucks exceeds the number of docks available. The problem feasibility is affected by three factors: the arrival and departure time window of each truck, the operational time for cargo shipment among the docks, and the total capacity available to the crossdock. The objective is to find an optimal assignment of trucks that minimizes the operational cost of the cargo shipments and the total number of unfulfilled shipments at the same time. We combine the above two objectives into one term: the total cost, a sum of the total dock operational cost and the penalty cost for all the unfulfilled shipments. The problem is then formulated as an integer programming (IP) model. We find that as the problem size grows, the IP model size quickly expands to an extent that the ILOG CPLEX Solver can hardly manage. Therefore, two meta-heuristic approaches, Tabu Search (TS) and genetic algorithm (GA), are proposed. Computational experiments are conducted, showing that meta-heuristics, especially the Tabu search, dominate the CPLEX Solver in nearly all test cases adapted from industrial applications.

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  • Miao, Zhaowei & Lim, Andrew & Ma, Hong, 2009. "Truck dock assignment problem with operational time constraint within crossdocks," European Journal of Operational Research, Elsevier, vol. 192(1), pages 105-115, January.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:105-115

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    References listed on IDEAS

    1. Yu, Wooyeon & Egbelu, Pius J., 2008. "Scheduling of inbound and outbound trucks in cross docking systems with temporary storage," European Journal of Operational Research, Elsevier, vol. 184(1), pages 377-396, January.
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    Cited by:

    1. Anne-Laure Ladier & Gülgün Alpan, 0. "Crossdock truck scheduling with time windows: earliness, tardiness and storage policies," Journal of Intelligent Manufacturing, Springer, vol. 0, pages 1-15.
    2. Bruno, Giuseppe & Genovese, Andrea & Piccolo, Carmela, 2014. "The capacitated Lot Sizing model: A powerful tool for logistics decision making," International Journal of Production Economics, Elsevier, vol. 155(C), pages 380-390.
    3. Hermel, Dror & Hasheminia, Hamed & Adler, Nicole & Fry, Michael J., 2016. "A solution framework for the multi-mode resource-constrained cross-dock scheduling problem," Omega, Elsevier, vol. 59(PB), pages 157-170.
    4. Saeid Rezaei & Amirsaman Kheirkhah, 0. "A comprehensive approach in designing a sustainable closed-loop supply chain network using cross-docking operations," Computational and Mathematical Organization Theory, Springer, vol. 0, pages 1-48.
    5. repec:spr:cejnor:v:25:y:2017:i:4:d:10.1007_s10100-016-0453-8 is not listed on IDEAS
    6. Boysen, Nils & Emde, Simon & Hoeck, Michael & Kauderer, Markus, 2015. "Part logistics in the automotive industry: Decision problems, literature review and research agenda," European Journal of Operational Research, Elsevier, vol. 242(1), pages 107-120.
    7. Lahyani, Rahma & Khemakhem, Mahdi & Semet, Frédéric, 2015. "Rich vehicle routing problems: From a taxonomy to a definition," European Journal of Operational Research, Elsevier, vol. 241(1), pages 1-14.
    8. Bazargan, Massoud, 2015. "An optimization approach to aircraft dispatching strategy with maintenance cost – A case study," Journal of Air Transport Management, Elsevier, vol. 42(C), pages 10-14.
    9. Buijs, Paul & Vis, Iris F.A. & Carlo, Héctor J., 2014. "Synchronization in cross-docking networks: A research classification and framework," European Journal of Operational Research, Elsevier, vol. 239(3), pages 593-608.
    10. Haughton, Michael & Sapna Isotupa, K.P., 2012. "Scheduling commercial vehicle queues at a Canada–US border crossing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 190-201.
    11. 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.
    12. H. Khorshidian & M. Akbarpour Shirazi & S. M. T. Fatemi Ghomi, 0. "An intelligent truck scheduling and transportation planning optimization model for product portfolio in a cross-dock," Journal of Intelligent Manufacturing, Springer, vol. 0, pages 1-22.
    13. Van Belle, Jan & Valckenaers, Paul & Cattrysse, Dirk, 2012. "Cross-docking: State of the art," Omega, Elsevier, vol. 40(6), pages 827-846.
    14. Konur, Dinçer & Golias, Mihalis M., 2013. "Cost-stable truck scheduling at a cross-dock facility with unknown truck arrivals: A meta-heuristic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 71-91.
    15. Boysen, Nils & Fliedner, Malte, 2010. "Cross dock scheduling: Classification, literature review and research agenda," Omega, Elsevier, vol. 38(6), pages 413-422, December.
    16. Konrad Stephan & Nils Boysen, 2011. "Cross-docking," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 22(1), pages 129-137, September.
    17. Berghman, Lotte & Leus, Roel, 2015. "Practical solutions for a dock assignment problem with trailer transportation," European Journal of Operational Research, Elsevier, vol. 246(3), pages 787-799.
    18. Ladier, Anne-Laure & Alpan, Gülgün, 2016. "Cross-docking operations: Current research versus industry practice," Omega, Elsevier, vol. 62(C), pages 145-162.


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