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

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

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Article ID: iaor1993913
Country: United States
Volume: 39
Issue: 7
Start Page Number: 919
End Page Number: 936
Publication Date: Dec 1992
Journal: Naval Research Logistics
Authors: ,
Keywords: queues: theory
Abstract:

The authors 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.

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