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has been cited by the following article:

• TITLE: Reliability Evaluation of Two-Stage Directed Semi-Markov Repairable Network Systems

  AUTHORS: Ruiqin Fan, Liying Wang, Tongliang Li

  KEYWORDS: Directed Network System; Reliability; Availability; Semi-Markov Repairable System; Markov Renewal Process

  JOURNAL NAME: Applied Mathematics, Vol.4 No.4, April 30, 2013

  ABSTRACT: A two-stage directed Semi-Markov repairable network system is presented in this paper to model the performance of many transmission systems, such as power or oil transmission network, water or gas supply network, etc. The availability of the system is discussed by using Markov renewal theory, Laplace transform and probability analysis methods. A numerical example is given to illustrate the results obtained in the paper.