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Reliability Analysis of Two-unit Cold Standby Repairable Systems under Poisson Shocks

Wu, Qingtai, Wu, Shaomin (2011) Reliability Analysis of Two-unit Cold Standby Repairable Systems under Poisson Shocks. Applied Mathematics and Computation, 218 (1). pp. 171-182. ISSN 0096-3003. (doi:10.1016/j.amc.2011.05.089) (KAR id:31996)


This paper analyses the reliability of a cold standby system consisting of two repairable units, a switch and a repairman. At any time, one of the two units is operating while the other is on cold standby. The repairman may not always at the job site, or take vacation. We assume that shocks can attack the operating unit. The arrival times of the shocks follow a homogeneous Poisson process and their magnitude is a random variable following a known distribution. Time on repairing a failed unit and the length of repairman's vacation follow general continuous probability distributions, respectively. The paper derives a number of reliability indices: system reliability, mean time to first failure, steady-state availability, and steady-state failure frequency. © 2011 Elsevier Inc. All rights reserved.

Item Type: Article
DOI/Identification number: 10.1016/j.amc.2011.05.089
Additional information: Unmapped bibliographic data: PY - 2011/// [EPrints field already has value set] AD - College of Science, Nanjing Agricultural University, Nanjing 210095, China [Field not mapped to EPrints] AD - School of Applied Sciences, Cranfield University, Cranfield, Bedfordshire MK43 0AL, United Kingdom [Field not mapped to EPrints] JA - Appl. Math. Comput. [Field not mapped to EPrints]
Uncontrolled keywords: Cold standby system, Poisson shock, Reliability indices, Vector Markov process, Arrival time, Cold standby system, Continuous probability distribution, Failure frequency, Homogeneous Poisson process, Job sites, Mean time to first failure, Operating units, Poisson shock, Reliability Index, Reliability indices, Repairable systems, Steady-state availability, System reliability, Vector Markov process, Availability, Markov processes, Poisson distribution, Random variables, Reliability analysis
Subjects: H Social Sciences
H Social Sciences > HA Statistics > HA33 Management Science
Divisions: Divisions > Kent Business School - Division > Department of Analytics, Operations and Systems
Depositing User: Shaomin Wu
Date Deposited: 26 Oct 2012 15:28 UTC
Last Modified: 16 Nov 2021 10:09 UTC
Resource URI: (The current URI for this page, for reference purposes)

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