Affiliation:
1. Department of Mathematics & Physics, Shijiazhuang Tiedao Institute, Shijiazhuang 050043, China
2. School of Software, Central South University, Changsha 410075, China
Abstract
Star repairable systems with spatial dependence consist of a center component and several peripheral components. The peripheral components are arranged around the center component, and the performance of each component depends on its spatial “neighbors.” Vector-Markov process is adapted to describe the performance of the system. The state space and transition rate matrix corresponding to the 6-component star Markov repairable system with spatial dependence are presented via probability analysis method. Several reliability indices, such as the availability, the probabilities of visiting the safety, the degradation, the alert, and the failed state sets, are obtained by Laplace transform method and a numerical example is provided to illustrate the results.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics
Cited by
10 articles.
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