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Single-machine scheduling with flexible and periodic maintenance

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  • J S Chen

    (Far East College)

Abstract

This paper deals with the problem of scheduling a single machine with periodic maintenance, where the machine is assumed to be stopped periodically to be maintained or to be reset for a constant time w during the scheduling period. Meanwhile, the maintenance period [u, v] is assumed to have been arranged previously, and the time w would not be longer than the maintenance period [u, v] (ie w⩽u−v). The time u (v) is the earliest (latest) time at which the machine starts (stops) its maintenance. The objective is to minimize the mean flow time of jobs. Four mixed binary integer programming models are developed to optimally solve this problem. Also, an efficient heuristic is proposed for solving large-sized problems.

Suggested Citation

  • J S Chen, 2006. "Single-machine scheduling with flexible and periodic maintenance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 703-710, June.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:6:d:10.1057_palgrave.jors.2602043
    DOI: 10.1057/palgrave.jors.2602043
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    References listed on IDEAS

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    1. Lee, Chung-Yee & Lin, Chen-Sin, 2001. "Single-machine scheduling with maintenance and repair rate-modifying activities," European Journal of Operational Research, Elsevier, vol. 135(3), pages 493-513, December.
    2. Akturk, M. Selim & Ghosh, Jay B. & Gunes, Evrim D., 2004. "Scheduling with tool changes to minimize total completion time: Basic results and SPT performance," European Journal of Operational Research, Elsevier, vol. 157(3), pages 784-790, September.
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    4. Lee, C. -Y. & Leon, V. J., 2001. "Machine scheduling with a rate-modifying activity," European Journal of Operational Research, Elsevier, vol. 128(1), pages 119-128, January.
    5. X Qi & T Chen & F Tu, 1999. "Scheduling the maintenance on a single machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(10), pages 1071-1078, October.
    6. Chung-Yee Lee & Lei Lei & Michael Pinedo, 1997. "Current trends in deterministic scheduling," Annals of Operations Research, Springer, vol. 70(0), pages 1-41, April.
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    Cited by:

    1. Nesello, Vitor & Subramanian, Anand & Battarra, Maria & Laporte, Gilbert, 2018. "Exact solution of the single-machine scheduling problem with periodic maintenances and sequence-dependent setup times," European Journal of Operational Research, Elsevier, vol. 266(2), pages 498-507.
    2. Anja Wolter & Stefan Helber, 2016. "Simultaneous production and maintenance planning for a single capacitated resource facing both a dynamic demand and intensive wear and tear," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(3), pages 489-513, September.
    3. Mosheiov, Gur & Sarig, Assaf & Strusevich, Vitaly A & Mosheiff, Jonathan, 2018. "Two-machine flow shop and open shop scheduling problems with a single maintenance window," European Journal of Operational Research, Elsevier, vol. 271(2), pages 388-400.

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