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Online integrated production–distribution scheduling problems without preemption

Author

Listed:
  • Xin Feng

    (Xi’an Jiaotong University)

  • Yongxi Cheng

    (Xi’an Jiaotong University)

  • Feifeng Zheng

    (Donghua University)

  • Yinfeng Xu

    (Xi’an Jiaotong University)

Abstract

We study an integrated production–distribution scheduling problem where jobs are released by customers to a manufacturer over time. The jobs are released online, that is, at any time the information of the number, release and processing times of future jobs is unknown, and the processing time of a job becomes known when the job is released. The manufacturer processes the jobs on a single machine. During the processing of jobs preemption is not allowed. Completed jobs are delivered in batches to customers via sufficient capacitated vehicles. For the objective of minimizing the sum of the total delivery time and the total distribution cost, we present a 3-competitive algorithm for the single-customer case and then extend the result to the multi-customer case. A lower bound of two on the competitive ratio of the problem is also given.

Suggested Citation

  • Xin Feng & Yongxi Cheng & Feifeng Zheng & Yinfeng Xu, 2016. "Online integrated production–distribution scheduling problems without preemption," Journal of Combinatorial Optimization, Springer, vol. 31(4), pages 1569-1585, May.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:4:d:10.1007_s10878-015-9841-6
    DOI: 10.1007/s10878-015-9841-6
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    References listed on IDEAS

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    1. Zhi-Long Chen & George L. Vairaktarakis, 2005. "Integrated Scheduling of Production and Distribution Operations," Management Science, INFORMS, vol. 51(4), pages 614-628, April.
    2. Gao, Su & Qi, Lian & Lei, Lei, 2015. "Integrated batch production and distribution scheduling with limited vehicle capacity," International Journal of Production Economics, Elsevier, vol. 160(C), pages 13-25.
    3. Nicholas G. Hall & Chris N. Potts, 2003. "Supply chain scheduling: Batching and delivery," Operations Research, INFORMS, vol. 51(4), pages 566-584, August.
    4. Averbakh, Igor & Xue, Zhihui, 2007. "On-line supply chain scheduling problems with preemption," European Journal of Operational Research, Elsevier, vol. 181(1), pages 500-504, August.
    5. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    6. Averbakh, Igor, 2010. "On-line integrated production-distribution scheduling problems with capacitated deliveries," European Journal of Operational Research, Elsevier, vol. 200(2), pages 377-384, January.
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    Cited by:

    1. Lixin Tang & Feng Li & Zhi-Long Chen, 2019. "Integrated Scheduling of Production and Two-Stage Delivery of Make-to-Order Products: Offline and Online Algorithms," INFORMS Journal on Computing, INFORMS, vol. 31(3), pages 493-514, July.

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