Eryilmaz, SerkanUnlu, Kamil DemirberkIndustrial Engineering2024-07-052024-07-05202380951-83201879-083610.1016/j.ress.2023.1092032-s2.0-85149389749https://doi.org/10.1016/j.ress.2023.109203https://hdl.handle.net/20.500.14411/2508Ünlü, Kamil Demirberk/0000-0002-2393-6691; Eryilmaz, Serkan/0000-0002-2108-1781According to the classical delta-shock model, the system failure occurs upon the occurrence of a new shock that arrives in a time length less than delta, a given positive value. In this paper, a new generalized version of the delta-shock model is introduced. Under the proposed model, the system fails if there are m shocks that arrive in a time length less than delta after a previous shock, m >= 1. The mean time to failure of the system is approximated for both discretely and continuously distributed intershock time distributions. The usefulness of the model is also shown to study 1-out-of-(m + 1):G cold standby system. Illustrative numerical results are presented for geometric, exponential, discrete and continuous phase-type intershock time distributions.eninfo:eu-repo/semantics/closedAccessCold standby systemMTTFShock modelPhase-type distributionArticleQ1234WOS:000952525300001