Industrial Engineering
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Browsing Industrial Engineering by Subject "Probability generating function"
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Item A new extended δ-shock model with the consideration of shock magnitude(Applied Stochastic Models in Business and Industry, 2024-07-14) Lorvand, Hamed; Eryılmaz, SerkanIn 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.