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Preventive Maintenance Scheduling by Mathematical Programming

Author

Listed:
  • Harvey M. Wagner

    (Stanford University)

  • Richard J. Giglio

    (Stanford University)

  • R. George Glaser

    (McKinsey & Company, Inc)

Abstract

This paper explores methods for scheduling preventive maintenance by means of mathematical programming. Five integer linear programming models are posed, each based on a different optimality criterion dealing with manpower smoothing. By means of two hypothetical examples the models are tested for their computational properties. In addition to describing the experimental results of applying integer linear programming techniques to this class of problems, the paper also illustrates how effectively rounded linear programming solutions can be used as approximations to optimal solutions.

Suggested Citation

  • Harvey M. Wagner & Richard J. Giglio & R. George Glaser, 1964. "Preventive Maintenance Scheduling by Mathematical Programming," Management Science, INFORMS, vol. 10(2), pages 316-334, January.
    • Handle: RePEc:inm:ormnsc:v:10:y:1964:i:2:p:316-334
    DOI: 10.1287/mnsc.10.2.316
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    Citations

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    Cited by:

    1. Kuschel, Torben & Bock, Stefan, 2016. "The weighted uncapacitated planned maintenance problem: Complexity and polyhedral properties," European Journal of Operational Research, Elsevier, vol. 250(3), pages 773-781.
    2. Nima Safaei & Dragan Banjevic & Andrew Jardine, 2011. "Workforce-constrained maintenance scheduling for military aircraft fleet: a case study," Annals of Operations Research, Springer, vol. 186(1), pages 295-316, June.
    3. Grigoriev, Alexander & van de Klundert, Joris & Spieksma, Frits C.R., 2006. "Modeling and solving the periodic maintenance problem," European Journal of Operational Research, Elsevier, vol. 172(3), pages 783-797, August.
    4. George Vairaktarakis & Joseph G. Szmerekovsky & Jiayan Xu, 2016. "Level workforce planning for multistage transfer lines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(7), pages 577-590, October.
    5. Khaled Alhamad & Yousuf Alkhezi & M. F. Alhajri, 2022. "Nonlinear Integer Programming for Solving Preventive Maintenance Scheduling Problem for Cogeneration Plants with Production," Sustainability, MDPI, vol. 15(1), pages 1-18, December.
    6. Wen, M. & Li, R. & Salling, K.B., 2016. "Optimization of preventive condition-based tamping for railway tracks," European Journal of Operational Research, Elsevier, vol. 252(2), pages 455-465.
    7. Gizem Keysan & George L. Nemhauser & Martin W. P. Savelsbergh, 2010. "Tactical and Operational Planning of Scheduled Maintenance for Per-Seat, On-Demand Air Transportation," Transportation Science, INFORMS, vol. 44(3), pages 291-306, August.
    8. N Safaei & D Banjevic & A K S Jardine, 2011. "Bi-objective workforce-constrained maintenance scheduling: a case study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(6), pages 1005-1018, June.
    9. Joachim Arts & Simme Flapper, 2015. "Aggregate overhaul and supply chain planning for rotables," Annals of Operations Research, Springer, vol. 224(1), pages 77-100, January.

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