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Scheduling a maintenance activity and due-window assignment based on common flow allowance

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  • Mor, Baruch
  • Mosheiov, Gur

Abstract

We study a due-window assignment problem on a single machine. The job-dependent due-windows are obtained by the common flow allowance criterion. The scheduler has the option to perform a maintenance activity which is rate modifying, i.e., improves the processing times of the following jobs. We consider a number of versions of this setting: (i) The maintenance requires a constant time, (ii) The maintenance duration is an increasing function of its starting time (linear deterioration), and (iii) The maintenance duration is position-dependent (general deterioration). We study the standard setting of regular job processing times, and investigate also the extension to position-dependent processing times. The set of potential optimal positions for the maintenance activity is fully characterized. Consequently, the problems based on all the combinations of these settings are shown to be solved in polynomial time.

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  • Mor, Baruch & Mosheiov, Gur, 2012. "Scheduling a maintenance activity and due-window assignment based on common flow allowance," International Journal of Production Economics, Elsevier, vol. 135(1), pages 222-230.
    • Handle: RePEc:eee:proeco:v:135:y:2012:i:1:p:222-230
    DOI: 10.1016/j.ijpe.2011.07.013
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    Cited by:

    1. Xu, Dehua & Wan, Long & Liu, Aihua & Yang, Dar-Li, 2015. "Single machine total completion time scheduling problem with workload-dependent maintenance duration," Omega, Elsevier, vol. 52(C), pages 101-106.
    2. Chen, Ke & Ji, Min & Ge, Jiaojiao, 2013. "A note on scheduling a maintenance activity and due-window assignment based on common flow allowance," International Journal of Production Economics, Elsevier, vol. 145(2), pages 645-646.
    3. Tan, Zhiyi & Chen, Yong & Zhang, An, 2013. "On the exact bounds of SPT for scheduling on parallel machines with availability constraints," International Journal of Production Economics, Elsevier, vol. 146(1), pages 293-299.
    4. Wu, Yu-Bin & Wan, Long & Wang, Xiao-Yuan, 2015. "Study on due-window assignment scheduling based on common flow allowance," International Journal of Production Economics, Elsevier, vol. 165(C), pages 155-157.
    5. Mor, Baruch & Mosheiov, Gur, 2014. "Batch scheduling with a rate-modifying maintenance activity to minimize total flowtime," International Journal of Production Economics, Elsevier, vol. 153(C), pages 238-242.
    6. Mor, Baruch & Mosheiov, Gur, 2016. "Minsum and minmax scheduling on a proportionate flowshop with common flow-allowance," European Journal of Operational Research, Elsevier, vol. 254(2), pages 360-370.
    7. Shirvani, Nargess & Ruiz, Rubén & Shadrokh, Shahram, 2014. "Cyclic scheduling of perishable products in parallel machine with release dates, due dates and deadlines," International Journal of Production Economics, Elsevier, vol. 156(C), pages 1-12.
    8. Yang, Dar-Li & Lai, Chien-Jung & Yang, Suh-Jenq, 2014. "Scheduling problems with multiple due windows assignment and controllable processing times on a single machine," International Journal of Production Economics, Elsevier, vol. 150(C), pages 96-103.
    9. Janiak, Adam & Janiak, Władysław A. & Krysiak, Tomasz & Kwiatkowski, Tomasz, 2015. "A survey on scheduling problems with due windows," European Journal of Operational Research, Elsevier, vol. 242(2), pages 347-357.

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