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Original Articles

Bootstrapping Computation of Availability for a Repairable System with Standby Subject to Imperfect Switching

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Pages 469-483 | Received 18 Sep 2008, Accepted 25 Nov 2010, Published online: 03 Mar 2011
 

Abstract

This article deals with the availability behavior of a repairable system in which standby switched to primary is subject to breakdowns. The time-to-failure of the four primary and two standby units are assumed to be exponentially and generally distributed. In addtion, the repair time of service station follow four common distributions: exponential (EXP), Gamma (G), Uniform (U), and Mixture (M). We use a recursive method, and the supplementary variable technique to develop the steady-state availability, A v . The estimator is strongly consistent and asymptotically normal. The interval estimations of A v are constructed by five bootstrap approaches: standard bootstrap confidence interval (SB), the percentile bootstrap confidence interval (PB), the bias-corrected percentile bootstrap confidence interval (BCPB), the bias-corrected and accelerated confidence interval (BCa), and bootstrap pivot confidence interval (BP). Finally, some simulation computations are conducted in order to describe the performances of on various interval estimation by calculating the coverage percentage and the average length of intervals.

2000 Mathematics Subject Classification:

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