Lorvand, HamedEryılmaz, Serkan2024-09-022024-09-022024-07-14https://doi.org/10.1002/asmb.28841526-4025https://hdl.handle.net/20.500.14411/2049Lorvand, Hamed, Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran; Eryilmaz, Serkan, Atilim University, Department of Industrial Engineering, Ankara, Turkey.In this article, a new -shock model that takes into account the magnitude of shocks is introduced and studied from reliability perspective. According to the new model, the system breaks down if either a shock after non-critical shock occurs in a time length less than or a shock after a critical shock occurs in a time length less than where . The distribution of the system's lifetime is studied for both discrete and continuous intershock time distributions. It is shown that a new model is useful to describe a certain cold standby repairable system.enMatrix-geometric distributionProbability generating functionReliabilityShock modelArticle