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Performance of N machine centers of K‐out‐of‐M: G type maintained by a single repairman

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  • Tapas K. Das
  • Martin A. Wortman

Abstract

We consider a system of N (nonsymmetric) machine centers of the K‐out‐of‐M : G type that are maintained by a single repairman. [A machine center functions if and only if at least K of the M machines belonging to the center are good (G).] Such systems are commonly found in various manufacturing and service industries. A stochastic model is developed that accommodates generally distributed repair times and repairman walk times, and most repair scheduling disciplines. K‐out‐of‐M : G type systems also appear as a modeling paradigm in reliability analysis and polling systems performance analysis. Several performance measures are derived for machine‐repair systems having K‐out‐of‐M‐type centers. A simple example system is developed in detail that exposes the computations involved in modeling applications. © 1992 John Wiley & Sons, Inc.

Suggested Citation

  • Tapas K. Das & Martin A. Wortman, 1992. "Performance of N machine centers of K‐out‐of‐M: G type maintained by a single repairman," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(7), pages 919-936, December.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:7:p:919-936
    DOI: 10.1002/1520-6750(199212)39:73.0.CO;2-J
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    1. Bunday, B. D. & El-Badri, W. K. & Supanekar, S. D., 1985. "The efficiency of bi-directionally patrolled machines when repairs are not always successful," European Journal of Operational Research, Elsevier, vol. 19(3), pages 324-330, March.
    2. W. K. Grassmann & M. L. Chaudhry, 1982. "A new method to solve steady state queueing equations," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(3), pages 461-473, September.
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    Cited by:

    1. Haque, Lani & Armstrong, Michael J., 2007. "A survey of the machine interference problem," European Journal of Operational Research, Elsevier, vol. 179(2), pages 469-482, June.

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