On repairable systems with time redundancy and operational constraints

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Goyal, Dheeraj and Finkelstein, Maxim and Hazra, Nil Kamal (2025) On repairable systems with time redundancy and operational constraints. Reliability Engineering and System Safety, 255. 110631. ISSN 0951-8320 (https://doi.org/10.1016/j.ress.2024.110631)

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Abstract

For some repairable systems executing missions/tasks, a functional failure, i.e., a failure of a mission or task can occur not immediately after equipment failure but with some delay. This happens when a failure/defect is not repaired within some specified period of time. Alternatively, a functional failure can also occur when a new failure/defect happens relatively soon after the completion of the previous repair. In this paper, we present a new stochastic model that defines and describes the lifetimes of this kind of repairable systems with operational constraints. A new approach based on Laplace transforms is developed to study the reliability function and the mean time to failure for these systems. Furthermore, we consider the stochastic model when only a finite number of repairs are allowed and obtain relevant reliability indices for this case as well. Detailed numerical examples illustrate our findings.

ORCID iDs

Goyal, Dheeraj, Finkelstein, Maxim ORCID logoORCID: https://orcid.org/0000-0002-3018-8353 and Hazra, Nil Kamal;
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