A new extended δ-shock model with the consideration of shock magnitude
Date
2024-07-14
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Applied Stochastic Models in Business and Industry
Abstract
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.
Description
Lorvand, Hamed, Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran; Eryilmaz, Serkan, Atilim University, Department of Industrial Engineering, Ankara, Turkey.
Keywords
Matrix-geometric distribution, Probability generating function, Reliability, Shock model
Citation
https://doi.org/10.1002/asmb.2884