Reliability indices of a redundant system with standby failure and arbitrary distribution for repair and replacement times

R. K. Bhardwaj (), Komaldeep Kaur () and S. C. Malik ()
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R. K. Bhardwaj: Punjabi University
Komaldeep Kaur: Punjabi University
S. C. Malik: M. D. University

International Journal of System Assurance Engineering and Management, 2017, vol. 8, issue 2, No 17, 423-431

Abstract: Abstract Reliability indices of a redundant system of two identical units—one is initially operative and the other is kept as spare in cold standby are derived by using semi-Markov process and regenerative point technique. The system model is developed by considering the aspects of standby failure and inspection. There is a single server who visits the system immediately to carry out repair activities as and when required. The unit in cold standby mode may fail after surpassing a pre specified time ‘t’. The server inspects the standby unit at its failure to see feasibility of repair. If repair of the standby unit is not feasible, it is replaced immediately by new one. However, repair of the operating unit at its failure is done without inspection. The random variables are statistically independent. Repairs and switch devices are perfect. The failure time of unit follows exponential distribution whereas repair and replacement times follow arbitrary distribution. The practical significance of the results is illustrated through numerical example.

Keywords: Redundant system; Semi-Markov model; Cold standby failure; Inspection and reliability indices; Primary 90B25; Secondary 60K15 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s13198-016-0445-z

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