Lorvand, HamedEryılmaz, SerkanEryilmaz, SerkanIndustrial Engineering2024-09-102024-09-10202401524-19041526-402510.1002/asmb.28842-s2.0-85198524358https://doi.org/10.1002/asmb.2884https://hdl.handle.net/20.500.14411/7286In this article, a new delta$$ \delta $$-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 delta 1$$ {\delta}_1 $$ or a shock after a critical shock occurs in a time length less than delta 2,$$ {\delta}_2, $$ where delta 1<delta 2$$ {\delta}_1<{\delta}_2 $$. 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.eninfo:eu-repo/semantics/openAccessmatrix-geometric distributionprobability generating functionreliabilityshock modelArticleQ3Q3WOS:001272399100001