Eryılmaz, SerkanÜnlü, Kamil Demirberk2023-12-052023-12-052023-02-28https://doi.org/10.1016/j.ress.2023.1092031879-0836http://hdl.handle.net/20.500.14411/1815Published by Reliability Engineering and System Safety, https://doi.org/10.1016/j.ress.2023.109203, aDepartment of Industrial Engineering, Atilim University, Ankara, Turkey, e-mail: serkan.eryilmaz@atilim.edu.trAccording to the classical 𝜹-shock model, the system failure occurs upon the occurrence of a new shock that arrives in a time length less than 𝜹; a given positive value. In this paper, a new generalized version of the 𝜹-shock model is introduced. Under the proposed model, the system fails if there are m shocks that arrive in a time length less than 𝜹 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.enCold standby systemArticle