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M. Y. Haggag, “Cost Analysis of a System Involving Common Cause Failures and Preventive Maintenance,” Journal of Mathematics and Statistics, Vol. 5, No. 4, 2009, pp. 305-310. doi:10.3844/jmssp.2009.305.310

has been cited by the following article:

• TITLE: Analysis of Stochastic Reliability Characteristics of a Repairable 2-out-of-3 System with Minimal Repair at Failure

  AUTHORS: Ibrahim Yusuf, Fatima Salman Koki

  KEYWORDS: Minimal Repair; Reliability; Availability

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8, July 24, 2013

  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.