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Queueing models for spares provisioning

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  • Donald Gross
  • Henry D. Kahn
  • Joseph D. Marsh

Abstract

A population of items which break down at random times and require repair is studied (the classic “machine repair problem with spares”). It is desired to determine the number of repair channels and spares required over a multiyear planning horizon in which population size and component reliability varies, and a service level constraint is imposed. When an item fails, a spare (if available) is immediately dispatched to replace the failed item. The failed item is removed, transported to the repair depot, repaired, and then placed in the spares pool (which is constrained to be empty not more than 10% of the time) unless there is a backlog of requests for spares, in which case it is dispatched immediately. The first model considered treats removal, transportation, and repair as one service operation. The second model is a series queue which allows for the separate treatment of removal, transportation, and repair. Breakdowns are assumed Poisson and repair times exponential.

Suggested Citation

  • Donald Gross & Henry D. Kahn & Joseph D. Marsh, 1977. "Queueing models for spares provisioning," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(4), pages 521-536, December.
    • Handle: RePEc:wly:navlog:v:24:y:1977:i:4:p:521-536
    DOI: 10.1002/nav.3800240402
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    Cited by:

    1. S. Christian Albright, 1989. "An approximation to the stationary distribution of a multiechelon repairable‐item inventory system with finite sources and repair channels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(2), pages 179-195, April.

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