On repairable systems with time redundancy and operational constraints

Dheeraj Goyal, Maxim Finkelstein and Nil Kamal Hazra

Reliability Engineering and System Safety, 2025, vol. 255, issue C

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.

Keywords: Acceptable delay; Functional failure; Reliability function (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:255:y:2025:i:c:s0951832024007026

DOI: 10.1016/j.ress.2024.110631

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