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Stocking Repair Kits for Systems with Limited Life

Author

Listed:
  • John L. Bryant

    (University of Cincinnati)

  • Richard A. Murphy

    (Optimal Decision Systems, Inc., Cincinnati)

Abstract

In this paper we examine several models for systems subject to both repairable and nonrepairable failures. A repairable failure can be remedied by the application of a repair kit (spare part, standby system, etc.), whereas a nonrepairable failure terminates the life of the system. The stochastic properties of key system parameters are derived under appropriate assumptions. These results are then used to determine the optimal number of repair kits to stock in order to maintain a system having a specified cost structure. The applicability of such models to problems of systems design is illustrated in several examples. Our results make use of distributions of phase type, and demonstrate that this family of distributions provides considerable flexibility and computational tractability in reliability modeling.

Suggested Citation

  • John L. Bryant & Richard A. Murphy, 1983. "Stocking Repair Kits for Systems with Limited Life," Management Science, INFORMS, vol. 29(5), pages 546-558, May.
    • Handle: RePEc:inm:ormnsc:v:29:y:1983:i:5:p:546-558
    DOI: 10.1287/mnsc.29.5.546
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    Citations

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    Cited by:

    1. Charles Wells, 2015. "Bounds on uptime distribution based on aging for systems with finite lifetimes," Annals of Operations Research, Springer, vol. 235(1), pages 757-769, December.
    2. Kurtuluş Barış Öner & Alan Scheller-Wolf & Geert-Jan van Houtum, 2013. "Redundancy Optimization for Critical Components in High-Availability Technical Systems," Operations Research, INFORMS, vol. 61(1), pages 244-264, February.
    3. Wells, Charles E., 2014. "Reliability analysis of a single warm-standby system subject to repairable and nonrepairable failures," European Journal of Operational Research, Elsevier, vol. 235(1), pages 180-186.

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