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Bicriteria Scheduling on a Single Batching Machine with Transportation and Deterioration to Minimize Total Completion Time and Production Costs

Author

Listed:
  • Hua Gong

    (Liaoning Key Laboratory of Manufacturing Technology and Equipment, College of Science, Shenyang Ligong University, Shenyang, 110159, P. R. China)

  • Ermei Zhang

    (College of Science, Shenyang Ligong University, Shenyang, 110159, P. R. China)

  • Fang Liu

    (College of Science, Shenyang Ligong University, Shenyang, 110159, P. R. China)

Abstract

In this paper, we consider a coordinated scheduling problem on a single batching machine with transportation and deterioration. The jobs are transported by a vehicle to the single batching machine for further processing. The processing time of a job is a step increasing function of its exposure time which is equivalent to the time interval from the beginning of the transportation to the starting of the job on the machine. The objective is to find Pareto-optimal schedules with two performance criteria (total completion time and the number of batches) to balance the inventory level and the production costs. We prove that the general problem is strongly NP-hard. We further develop polynomial-time algorithms for two special cases with a fixed job sequence and without exposure time limit, respectively. For the general problem, we develop a heuristic algorithm and a branch and bound algorithm. Computational experiments show that the heuristic algorithms perform well on randomly generated problem instances, and the branch and bound algorithm can obtain Pareto-optimal solutions for the small-scaled instances.

Suggested Citation

  • Hua Gong & Ermei Zhang & Fang Liu, 2017. "Bicriteria Scheduling on a Single Batching Machine with Transportation and Deterioration to Minimize Total Completion Time and Production Costs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(03), pages 1-18, June.
    • Handle: RePEc:wsi:apjorx:v:34:y:2017:i:03:n:s0217595917400140
    DOI: 10.1142/S0217595917400140
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    References listed on IDEAS

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    1. De-Yun Wang & Olivier Grunder & Abdellah El Moudni, 2015. "Integrated scheduling of production and distribution operations: a review," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 19(1), pages 94-122.
    2. Yin, Yunqiang & Cheng, T.C.E. & Hsu, Chou-Jung & Wu, Chin-Chia, 2013. "Single-machine batch delivery scheduling with an assignable common due window," Omega, Elsevier, vol. 41(2), pages 216-225.
    3. Cheng, T. C. E. & Ding, Q. & Lin, B. M. T., 2004. "A concise survey of scheduling with time-dependent processing times," European Journal of Operational Research, Elsevier, vol. 152(1), pages 1-13, January.
    4. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
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