Abstract
AbstractSystem signature is a crucial measure in the description and comparison of system structures in the field of reliability, and it does not depend on the component distributions under the assumption that all components are independent and identically distributed. A Markov process method is proposed to compute signatures for general coherent systems in this paper, which is more efficient for the computation of the system signature. As applications of the method, signature formulas of consecutive‐k‐out‐of‐n: F systems and related consecutive‐type systems are investigated, including both the linear and circular ones. Particularly, the related signature formulas for consecutive‐type systems with sparse d are derived for the first time. Illustrative examples are presented for methane reformer furnace systems.
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