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Optimal Group Maintenance Policies with Continuous and Periodic Inspections

Author

Listed:
  • David Assaf

    (Hebrew University, Jerusalem, Israel)

  • J. George Shanthikumar

    (School of Business Administration, University of California, Berkeley, California 94720)

Abstract

Optimum group maintenance policies for a set of N machines subjected to stochastic failures under continuous and periodic inspections are considered. Under very general conditions it is shown that a control limit policy minimizes the expected cost per unit time over an infinite horizon, when costs are incurred due to loss of production and repair only. It is also shown how to explicitly compute this control limit. When additional costs are incurred due to inspection, a characterization of an optimal periodic inspection/repair policy that minimizes the expected cost per unit time over an infinite horizon is given.

Suggested Citation

  • David Assaf & J. George Shanthikumar, 1987. "Optimal Group Maintenance Policies with Continuous and Periodic Inspections," Management Science, INFORMS, vol. 33(11), pages 1440-1452, November.
    • Handle: RePEc:inm:ormnsc:v:33:y:1987:i:11:p:1440-1452
    DOI: 10.1287/mnsc.33.11.1440
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    Citations

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    Cited by:

    1. Nourelfath, Mustapha & Châtelet, Eric, 2012. "Integrating production, inventory and maintenance planning for a parallel system with dependent components," Reliability Engineering and System Safety, Elsevier, vol. 101(C), pages 59-66.
    2. Liu, Gia-Shie, 2011. "Dynamic group instantaneous replacement policies for unreliable Markovian service systems," International Journal of Production Economics, Elsevier, vol. 130(2), pages 203-217, April.
    3. Wallace J. Hopp & Yar‐Lin Kuo, 1998. "Heuristics for multicomponent joint replacement: Applications to aircraft engine maintenance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(5), pages 435-458, August.
    4. Dekker, Rommert & Roelvink, Ingrid F. K., 1995. "Marginal cost criteria for preventive replacement of a group of components," European Journal of Operational Research, Elsevier, vol. 84(2), pages 467-480, July.
    5. Dao, Cuong D. & Zuo, Ming J. & Pandey, Mayank, 2014. "Selective maintenance for multi-state series–parallel systems under economic dependence," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 240-249.
    6. Bruns, Peter, 2002. "Optimal maintenance strategies for systems with partial repair options and without assuming bounded costs," European Journal of Operational Research, Elsevier, vol. 139(1), pages 146-165, May.
    7. Wooseung Jang & J. George Shanthikumar, 2002. "Stochastic allocation of inspection capacity to competitive processes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(1), pages 78-94, February.
    8. Rommert Dekker & J. Robert van der Meer & Raymond Ph. Plasmeijer & Ralph E. Wildeman & Jacco J. de Bruin, 1996. "Maintenance of Light Standards, a Case-Study," Tinbergen Institute Discussion Papers 96-166/9, Tinbergen Institute.
    9. Robin P. Nicolai & Rommert Dekker, 2008. "Optimal Maintenance of Multi-component Systems: A Review," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 11, pages 263-286, Springer.
    10. Chunhui Guo & Chuan Lyu & Jiayu Chen & Dong Zhou, 2018. "A multi-event combination maintenance model based on event correlation," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-24, November.
    11. Rommert Dekker & Ralph Wildeman & Frank Duyn Schouten, 1997. "A review of multi-component maintenance models with economic dependence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 411-435, October.
    12. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    13. Yonit Barron, 2018. "Group maintenance policies for an R-out-of-N system with phase-type distribution," Annals of Operations Research, Springer, vol. 261(1), pages 79-105, February.

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