Reliability of multi-state systems with various dependency structures between components

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Yadav, Darshana and Hazra, Nil Kamal and Finkelstein, Maxim (2026) Reliability of multi-state systems with various dependency structures between components. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability. ISSN 1748-006X (https://doi.org/10.1177/1748006x261437604)

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Abstract

In recent years, the universal generating function (UGF) technique has gained widespread application in the analysis of multi-state system (MSS) reliability. This approach enables the derivation of the complete performance distribution of an MSS by employing algebraic procedures on the performance distributions of its individual components. In this paper, the existing UGF approach for systems with independent components is further extended for systems with components having different preceding components’ memory (PCM). Based on the derived UGF, we obtain the reliability of the system. Moreover, we provide algorithms corresponding to the developed methodologies, and demonstrate the same through several numerical examples.

ORCID iDs

Yadav, Darshana, Hazra, Nil Kamal and Finkelstein, Maxim ORCID logoORCID: https://orcid.org/0000-0002-3018-8353;
CORE (COnnecting REpositories)