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Minimizing Makespan in Permutation Flow Shop Scheduling with Proportional Deterioration

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  • Na Yin

    (Department of Mathematics, Shanghai University, Shanghai 200444, China†School of Science, Shenyang Aerospace University, Shenyang 110136, China)

  • Liying Kang

    (Department of Mathematics, Shanghai University, Shanghai 200444, China)

Abstract

The n-job and m-machine permutation flow shop scheduling problem with a proportional deterioration is considered in which all machines process the jobs in the same order, i.e., a permutation schedule. A proportional deterioration means that the job deterioration as an increasing function that is proportional to a linear function of time. The objective is to minimize the makespan, i.e., the maximum completion time. When some dominant relationships between m − 1 machines can be satisfied, we show that some special cases of the problem can be polynomial solvable. For the general case, we also propose a heuristic algorithm and give the computational experiments.

Suggested Citation

  • Na Yin & Liying Kang, 2015. "Minimizing Makespan in Permutation Flow Shop Scheduling with Proportional Deterioration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-12, December.
    • Handle: RePEc:wsi:apjorx:v:32:y:2015:i:06:n:s0217595915500505
    DOI: 10.1142/S0217595915500505
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    References listed on IDEAS

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    10. Shisheng Li & Baoqiang Fan, 2012. "Single-Machine Scheduling With Proportionally Deteriorating Jobs Subject To Availability Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-10.
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    Cited by:

    1. Xue Huang & Na Yin & Wei-Wei Liu & Ji-Bo Wang, 2020. "Common Due Window Assignment Scheduling with Proportional Linear Deterioration Effects," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-15, January.
    2. Xuejun Hu & Jianjiang Wang & Kaijun Leng, 2019. "The Interaction Between Critical Chain Sequencing, Buffer Sizing, and Reactive Actions in a CC/BM Framework," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(03), pages 1-22, June.
    3. Zhenyou Wang & Cai-Min Wei & Yuan-Yuan Lu, 2016. "Permutation Flow Shop Problem with Shortening Job Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-14, August.
    4. Zhenyou Wang & Cai-Min Wei & Yu-Bin Wu, 2016. "Single Machine Two-Agent Scheduling with Deteriorating Jobs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-17, October.

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