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Reliability Evaluation of Two-Stage Directed Semi-Markov Repairable Network Systems
Department of Mathematics & Physics, Shijiazhuang Tiedao University, Shijiazhuang, China
Department of Mathematics & Physics, Shijiazhuang Tiedao University, Shijiazhuang, China
Institute of Applied Mathematics, Hebei Academy of Sciences, Shijiazhuang, China
- 1 Department of Mathematics & Physics, Shijiazhuang Tiedao University, Shijiazhuang, China
- 2 Department of Mathematics & Physics, Shijiazhuang Tiedao University, Shijiazhuang, China
- 3 Institute of Applied Mathematics, Hebei Academy of Sciences, Shijiazhuang, China
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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.
KeywordsDirected Network SystemReliabilityAvailabilitySemi-Markov Repairable SystemMarkov Renewal Process
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