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K. M. El-Said and M. S. EL-Sherbeny, “Evaluation of Reliability and Availability Characteristics of Two Different Systems by Using Linear First Order Differential Equations,” Journal of Mathematics and Statistics, Vol. 1, No. 2, 2005, pp. 119-123. http://dx.doi.org/10.3844/jmssp.2005.119.123

has been cited by the following article:

• TITLE: Evaluation of Reliability and Availability Characteristics of a Repairable System with Active Parallel Units

  AUTHORS: Ibrahim Yusuf, Fatima Salman Koki

  KEYWORDS: Active Parallel; Reliability; Availability; Mean Time to System Failure

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.3 No.5, September 24, 2013

  ABSTRACT: In this paper, we study the reliability and availability characteristics of a repairable system consisting of two subsystems A and B in series. Subsystem A consists of two units A1 and A2 operating in active parallel while subsystem B is a single unit. Failure and repair times are assumed exponential. The explicit expressions of reliability and availability characteristics like mean time to system failure (MTSF), system availability, busy period and profit function are derived using Kolmogorov forward equations method. Various cases are analyzed graphically to investigate the impacts of system parameters on MTSF, availability, busy period and profit function.