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OPTIMAL REPAIR OF A SERIES SYSTEM WITH FIXED REPAIR TIMES

Published online by Cambridge University Press:  01 October 1999

Esther Frostig
Esther Frostig
Affiliation:
Department of Statistics, University of Haifa, Mount Carmel, Israel
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Abstract

Consider a system consisting of n components in series, subject to failures, with one repairman. No preemption is permitted during a repair. The repairman has a list of components and when he becomes available he repairs the failed component which is closest to the top of the list. The goal is to minimize the mean time until all the components operate—the mean down time. For systems consisting of two components, we assume that the operation and repair times are generally distributed and that the operation times are stochastically ordered. For systems consisting of n components we assume exponentially distributed operation times with rate λi and fixed repair times. We prove that lists in which the components are ordered in an increasing order of their expected operation times are optimal.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 13 , Issue 4 , October 1999 , pp. 477 - 487
Copyright
© 1999 Cambridge University Press

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