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Analysis of Stochastic Reliability Characteristics of a Repairable 2-out-of-3 System with Minimal Repair at Failure
Department of Mathematical Sciences, Bayero University, Kano, Nigeria
Department of Physics, Bayero University, Kano, Nigeria
- 1 Department of Mathematical Sciences, Bayero University, Kano, Nigeria
- 2 Department of Physics, Bayero University, Kano, Nigeria
Applied Mathematics·Volume 04 (2013)·Pages 1115–1124·Published 23 July 2013·DOI10.4236/am.2013.48151
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Abstract
In this paper, we study the reliability and availability characteristics of a repairable 2-out-of-3 system. Failure and repair times are assumed exponential. The explicit expressions of reliability and availability characteristics such as mean time to system failure (MTSF), steady-state availability, busy period and profit function are derived using Kolmogorov’s forward equations method. Various cases are analyzed graphically to investigate the impact of system parameters on MTSF, availability, busy period and profit function.
KeywordsMinimal RepairReliabilityAvailability
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