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Analysis of an n ‐unit cold‐standby system with general failure and repair time distributions

Analysis of an n ‐unit cold‐standby system with general failure and repair time distributions Analyses an n ‐unit cold‐standby system with a single repair facility under the assumption that the failure and repair times are arbitrarily distributed. Develops a mathematical model using semi‐regenerative processes. Obtains a system of integral equations satisfied by various state probabilities corresponding to different initial conditions. Obtains explicit expressions for the expected number of failures and expected number of visits to down state in a specified interval of time. Discusses two special cases when either the failure or repair rate is constant. Analyses numerically and compares particular cases with one, two and three units by assuming Weibull distribution for failure time and normal distribution for repair time. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Quality & Reliability Management Emerald Publishing

Analysis of an n ‐unit cold‐standby system with general failure and repair time distributions

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References (13)

Publisher
Emerald Publishing
Copyright
Copyright © 1995 MCB UP Ltd. All rights reserved.
ISSN
0265-671X
DOI
10.1108/02656719510084790
Publisher site
See Article on Publisher Site

Abstract

Analyses an n ‐unit cold‐standby system with a single repair facility under the assumption that the failure and repair times are arbitrarily distributed. Develops a mathematical model using semi‐regenerative processes. Obtains a system of integral equations satisfied by various state probabilities corresponding to different initial conditions. Obtains explicit expressions for the expected number of failures and expected number of visits to down state in a specified interval of time. Discusses two special cases when either the failure or repair rate is constant. Analyses numerically and compares particular cases with one, two and three units by assuming Weibull distribution for failure time and normal distribution for repair time.

Journal

International Journal of Quality & Reliability ManagementEmerald Publishing

Published: Apr 1, 1995

Keywords: Distribution; Computer downtime; Engineers; Maintenance; Mathematics; Modelling; Reliability; Systems analysis

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