Kus, CoskunTuncel, AltanEryilmaz, SerkanIndustrial Engineering2024-07-052024-07-052022151387-58411573-771310.1007/s11009-021-09847-92-s2.0-85099913687https://doi.org/10.1007/s11009-021-09847-9https://hdl.handle.net/20.500.14411/1870Eryilmaz, Serkan/0000-0002-2108-1781In this paper, delta and extreme shock models and a mixed shock model which combines delta-shock and extreme shock models are studied. In particular, the interarrival times between successive shocks are assumed to belong to a class of matrix-exponential distributions which is larger than the class of phase-type distributions. The Laplace -Stieltjes transforms of the systems' lifetimes are obtained in a matrix form. Survival functions of the systems are approximated based on the Laplace-Stieltjes transforms. The results are applied for the reliability evaluation of a certain repairable system consisting of two components.eninfo:eu-repo/semantics/closedAccessMatrix-exponential distributionReliabilityRepairable systemShock modelPrimaryArticleQ4Q3241213231WOS:000611454200001