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Minimizing the makespan in a two-machine cross-docking flow shop problem


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  • Chen, Feng
  • Lee, Chung-Yee
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    This paper studies a two-machine cross-docking flow shop scheduling problem in which a job at the second machine can be processed only after the processing of some jobs at the first machine has been completed. The objective is to minimize the makespan. We first show that the problem is strongly NP-hard. Some polynomially solvable special cases are provided. We then develop a polynomial approximation algorithm with an error-bound analysis. A branch-and-bound algorithm is also constructed. Computational results show that the branch-and-bound algorithm can optimally solve problems with up to 60 jobs within a reasonable amount of time.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 193 (2009)
    Issue (Month): 1 (February)
    Pages: 59-72

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    Handle: RePEc:eee:ejores:v:193:y:2009:i:1:p:59-72

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    Keywords: Machine scheduling Logistics Cross-docking;


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    Cited by:
    1. Shi, Wen & Liu, Zhixue & Shang, Jennifer & Cui, Yujia, 2013. "Multi-criteria robust design of a JIT-based cross-docking distribution center for an auto parts supply chain," European Journal of Operational Research, Elsevier, vol. 229(3), pages 695-706.
    2. Lin, Bertrand M.T. & Lin, Y.-Y. & Fang, K.-T., 2013. "Two-machine flow shop scheduling of polyurethane foam production," International Journal of Production Economics, Elsevier, vol. 141(1), pages 286-294.
    3. Shi, Wen & Shang, Jennifer & Liu, Zhixue & Zuo, Xiaolu, 2014. "Optimal design of the auto parts supply chain for JIT operations: Sequential bifurcation factor screening and multi-response surface methodology," European Journal of Operational Research, Elsevier, vol. 236(2), pages 664-676.
    4. Liao, T.W. & Egbelu, P.J. & Chang, P.C., 2013. "Simultaneous dock assignment and sequencing of inbound trucks under a fixed outbound truck schedule in multi-door cross docking operations," International Journal of Production Economics, Elsevier, vol. 141(1), pages 212-229.


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