Reliability computing method combined with compressed storage and Krylov subspace for phased-mission system

Hua Yan, Li Gao, Kui Wang and Lei Qi

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 20, 9972-9984

Abstract: Application of the Markov approach in the reliability analysis of phased-mission systems (PMS) may encounter the problem of state space explosion. In this paper, a relationship is derived to compute the non-zero elements of the transition rate matrix (TRM) of a Markov model on the basis of the states binary description. Moreover, a TRM compressed storage scheme (TRMCS) is proposed, and an algorithm for matrix vector multiplication under TRMCS is presented. A method to solve the state probability vector using the Krylov subspace is proposed. The performance and the effectiveness of the proposed methods are demonstrated through a typical example.

Date: 2017
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DOI: 10.1080/03610926.2016.1228966

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