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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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    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. Jaehn, Florian, 2024. "Scheduling with jobs at fixed positions," European Journal of Operational Research, Elsevier, vol. 318(2), pages 388-397.
    3. 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.
    4. 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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