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Due-window assignment and scheduling with general position-dependent processing times involving a deteriorating and compressible maintenance activity

Author

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  • Hui Zhu
  • Min Li
  • Zhangjin Zhou
  • Yun You

Abstract

In this paper, we consider common due-window assignment and scheduling problems with general position-dependent processing times involving deteriorating and compressible maintenance activity on a single machine. Two models associated with maintenance activity are examined in this article, in which the maintenance length is assumed to be either time-dependent and compressible or position-dependent and compressible. The objective is to find jointly the location and size of due-window, position of maintenance as well as resource amount allocated to it, and job sequence to minimise a total cost function based on earliness, tardiness, window location, window size and resource cost. We show that the problem considered in each of the two models’ setting can be optimally solved with polynomial time algorithm by reducing to assignment problem. Finally, two examples are provided to illustrate the solution procedures.

Suggested Citation

  • Hui Zhu & Min Li & Zhangjin Zhou & Yun You, 2016. "Due-window assignment and scheduling with general position-dependent processing times involving a deteriorating and compressible maintenance activity," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3475-3490, June.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:12:p:3475-3490
    DOI: 10.1080/00207543.2015.1067379
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    1. 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.
    2. J-J Wang & J-B Wang & F Liu, 2011. "Parallel machines scheduling with a deteriorating maintenance activity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1898-1902, October.
    3. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    4. G Mosheiov & A Sarig, 2008. "A due-window assignment problem with position-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 997-1003, July.
    5. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
    6. Su, Ling-Huey & Lien, Chun-Yuan, 2009. "Scheduling parallel machines with resource-dependent processing times," International Journal of Production Economics, Elsevier, vol. 117(2), pages 256-266, February.
    7. J-J Wang & J-B Wang & F Liu, 2011. "Parallel machines scheduling with a deteriorating maintenance activity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1898-1902, October.
    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. Liman, Surya D. & Panwalkar, Shrikant S. & Thongmee, Sansern, 1996. "Determination of common due window location in a single machine scheduling problem," European Journal of Operational Research, Elsevier, vol. 93(1), pages 68-74, August.
    10. 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.
    11. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
    12. Cheng, T.C.E. & Yang, Suh-Jenq & Yang, Dar-Li, 2012. "Common due-window assignment and scheduling of linear time-dependent deteriorating jobs and a deteriorating maintenance activity," International Journal of Production Economics, Elsevier, vol. 135(1), pages 154-161.
    13. Yeung, W. K. & Oguz, Ceyda & Edwin Cheng, T. C., 2004. "Two-stage flowshop earliness and tardiness machine scheduling involving a common due window," International Journal of Production Economics, Elsevier, vol. 90(3), pages 421-434, August.
    14. 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.
    15. R. G. Vickson, 1980. "Choosing the Job Sequence and Processing Times to Minimize Total Processing Plus Flow Cost on a Single Machine," Operations Research, INFORMS, vol. 28(5), pages 1155-1167, October.
    16. A Bachman & A Janiak, 2004. "Scheduling jobs with position-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(3), pages 257-264, March.
    17. Biskup, Dirk, 2008. "A state-of-the-art review on scheduling with learning effects," European Journal of Operational Research, Elsevier, vol. 188(2), pages 315-329, July.
    18. M. A. Kubzin & V. A. Strusevich, 2006. "Planning Machine Maintenance in Two-Machine Shop Scheduling," Operations Research, INFORMS, vol. 54(4), pages 789-800, August.
    19. 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.
    20. Yong He & Min Ji & T. C. E. Cheng, 2005. "Single machine scheduling with a restricted rate‐modifying activity," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(4), pages 361-369, June.
    21. Lodree Jr., Emmett J. & Geiger, Christopher D., 2010. "A note on the optimal sequence position for a rate-modifying activity under simple linear deterioration," European Journal of Operational Research, Elsevier, vol. 201(2), pages 644-648, March.
    22. Cheng, T. C. E. & Gupta, M. C., 1989. "Survey of scheduling research involving due date determination decisions," European Journal of Operational Research, Elsevier, vol. 38(2), pages 156-166, January.
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    2. Baruch Mor, 2019. "Minmax scheduling problems with common due-date and completion time penalty," Journal of Combinatorial Optimization, Springer, vol. 38(1), pages 50-71, July.

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