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Performance of N machine centers of K ‐out‐of‐ M: G type maintained by a single repairman
Author(s) -
Das Tapas K.,
Wortman Martin A.
Publication year - 1992
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(199212)39:7<919::aid-nav3220390705>3.0.co;2-j
Subject(s) - polling , computer science , type (biology) , scheduling (production processes) , polling system , computation , reliability (semiconductor) , distributed computing , algorithm , operating system , mathematical optimization , mathematics , ecology , power (physics) , physics , quantum mechanics , biology
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.