Investigation of the time behavior of repairable systems spans a very large class of stochastic processes. The repetition of the same events connects the theory of reliability with Markov and semi-Markov processes. Exploiting this theory, the present study deals with two repairable dissimilar units’ cold standby system waiting for repair facility after failure of system units. Also, the regenerative point technique has been employed to obtain various reliability measures for the assumed system. Next, a particular case with exponential failures, arbitrary waiting and arbitrary repair rate is simulated followed by conclusions in the last section.
MTSF Profit function Exponential Lindley Availability Maintenance
Mathematics Subject Classification
90B25 37A50 44A10 91B70
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Cao J, Wu Y (1989) Reliability analysis of a two-unit cold standby system with a replaceable repair facility. Microelectron Reliab 29(2):145–150CrossRefGoogle Scholar
Ionescu DE, Limnios N (1999) Statistical and probabilistic models in reliability. Springer, New YorkCrossRefGoogle Scholar
Jia J, Wu S (2009) Optimizing replacement policy for a cold-standby system with waiting repair times. Appl Math Comput 214(1):133–141MathSciNetzbMATHGoogle Scholar
Jia X, Chen H, Cheng Z, Guo B (2016) A comparison between two switching policies for two-unit standby system. Reliab Eng Syst Saf 148:109–118CrossRefGoogle Scholar
Liu B, Cui L, Wen Y, Shen J (2015) A cold standby repairable system with working vacations and vacation interruption following Markovian arrival process. Reliab Eng Syst Saf 142:1–8CrossRefGoogle Scholar
Manglik M, Ram M (2013) Reliability analysis of a two unit cold standby system using Markov process. J Reliab Stat Stud 6(2):65–80Google Scholar
Pundir PS, Patawa R, Gupta PK (2018) Stochastic outlook of two non-identical unit parallel system with priority in repair. Cogent Math Stat 5:1467208MathSciNetCrossRefGoogle Scholar
Ram M, Singh SB, Singh VV (2013) Stochastic analysis of a standby system with waiting repair strategy. IEEE Trans Syst Man Cybern: Syst 43(3):698–707CrossRefGoogle Scholar
Srinivasan SK, Gopalan MN (1973) Probabilistic analysis of a 2-unit cold-standby system with a single repair facility. IEEE Trans Reliab 22(5):250–254MathSciNetCrossRefGoogle Scholar