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Scheduling Position-Dependent Maintenance Operations

Author

Listed:
  • Maciej Drozdowski

    (Institute of Computing Science, Poznań University of Technology, 60-965 Poznań, Poland)

  • Florian Jaehn

    (Institute for Management Science and Operations Research, Helmut Schmidt University–University of the Federal Armed Forces Hamburg, 22043 Hamburg, Germany)

  • Radosław Paszkowski

    (Institute of Computing Science, Poznań University of Technology, 60-965 Poznań, Poland)

Abstract

This paper addresses one-machine scheduling with maintenance restrictions. A maintenance operation is position dependent in a sequence of normal jobs if the maintenance has to be performed after at most some defined number of job changes on the machine. We show that several problems with objective functions C max and L max are still solvable in polynomial time if position-dependent maintenance is considered. We then consider the problem of preemptive scheduling with ready times and due dates on one machine with the L max criterion. We show that this problem is computationally hard and present the characteristics of this problem—for example, the fact that optimum schedules may be nonactive. After determining a set of dominance properties, branch-and-bound and local search algorithms are proposed. The performance of the algorithms is evaluated using a series of computational experiments.

Suggested Citation

  • Maciej Drozdowski & Florian Jaehn & Radosław Paszkowski, 2017. "Scheduling Position-Dependent Maintenance Operations," Operations Research, INFORMS, vol. 65(6), pages 1657-1677, December.
    • Handle: RePEc:inm:oropre:v:65:y:2017:i:6:p:1657-1677
    DOI: 10.1287/opre.2017.1659
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Chen, Jen-Shiang, 2008. "Optimization models for the tool change scheduling problem," Omega, Elsevier, vol. 36(5), pages 888-894, October.
    4. Blazewicz, Jacek & Dell'Olmo, Paolo & Drozdowski, Maciej & Maczka, Przemyslaw, 2003. "Scheduling multiprocessor tasks on parallel processors with limited availability," European Journal of Operational Research, Elsevier, vol. 149(2), pages 377-389, September.
    5. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    6. Jacek Błażewicz & Klaus H. Ecker & Erwin Pesch & Günter Schmidt & Jan Węglarz, 2007. "Handbook on Scheduling," International Handbooks on Information Systems, Springer, number 978-3-540-32220-7, November.
    7. Gregory H. Graves & Chung‐Yee Lee, 1999. "Scheduling maintenance and semiresumable jobs on a single machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 845-863, October.
    8. B. J. Lageweg & J. K. Lenstra & A. H. G. Rinnooy Kan, 1976. "Minimizing maximum lateness on one machine: computational experience and some applications," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 30(1), pages 25-41, March.
    9. K. R. Baker & E. L. Lawler & J. K. Lenstra & A. H. G. Rinnooy Kan, 1983. "Preemptive Scheduling of a Single Machine to Minimize Maximum Cost Subject to Release Dates and Precedence Constraints," Operations Research, INFORMS, vol. 31(2), pages 381-386, April.
    10. 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.
    11. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Simple matching vs linear assignment in scheduling models with positional effects: A critical review," European Journal of Operational Research, Elsevier, vol. 222(3), pages 393-407.
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    Cited by:

    1. M. Drozdowski & N. V. Shakhlevich, 2021. "Scheduling divisible loads with time and cost constraints," Journal of Scheduling, Springer, vol. 24(5), pages 507-521, October.
    2. Kerem Bülbül & Safia Kedad-Sidhoum & Halil Şen, 2019. "Single-machine common due date total earliness/tardiness scheduling with machine unavailability," Journal of Scheduling, Springer, vol. 22(5), pages 543-565, October.
    3. Selvaprabu Nadarajah & Andre A. Cire, 2020. "Network-Based Approximate Linear Programming for Discrete Optimization," Operations Research, INFORMS, vol. 68(6), pages 1767-1786, November.

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