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.