@article{a5eedef436754e7883ca488e0d3b0d12,
title = "Stochastic modeling for systems with delayed failures",
abstract = "We present stochastic description for repairable systems with delayed failures. Initial defects in a system result in its failure only after some delay. Specifically, it happens in repairable systems when the defects are not repaired within some period of time that can be either deterministic or random. Therefore, operation of a system is described by the corresponding terminating renewal process. We derive and analyze relationships for the survival probability and the mean time to failure for these systems. The results are derived in the form of the corresponding Laplace transforms that are numerically inverted for illustrative examples. Simple fast repair approximations are considered and their accuracy is also discussed.",
keywords = "Defect, Delayed failures, Fast repair approximation, Repairable system, Survival probability",
author = "Cha, {Ji Hwan} and Maxim Finkelstein",
note = "Funding Information: The authors want to thank four anonymous referees for helpful comments and suggestions. The work of the first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2016R1A2B2014211 ). The work of the second author was supported by National Research Foundation (SA) (Grant no: 103613 ). Funding Information: The authors want to thank four anonymous referees for helpful comments and suggestions. The work of the first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2016R1A2B2014211). The work of the second author was supported by National Research Foundation (SA) (Grant no: 103613). Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",
year = "2019",
month = aug,
doi = "10.1016/j.ress.2019.03.017",
language = "English",
volume = "188",
pages = "118--124",
journal = "Reliability Engineering and System Safety",
issn = "0951-8320",
publisher = "Elsevier Ltd.",
}