A new extended δ-shock model with the consideration of shock magnitude

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dc.contributor.authorLorvand, Hamed
dc.contributor.authorEryılmaz, Serkan
dc.date.accessioned2024-09-02T08:49:31Z
dc.date.available2024-09-02T08:49:31Z
dc.date.issued2024-07-14
dc.descriptionLorvand, Hamed, Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran; Eryilmaz, Serkan, Atilim University, Department of Industrial Engineering, Ankara, Turkey.
dc.description.abstractIn 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.
dc.identifier.citationhttps://doi.org/10.1002/asmb.2884
dc.identifier.issn1526-4025
dc.identifier.urihttps://hdl.handle.net/20.500.14411/2049
dc.language.isoen
dc.publisherApplied Stochastic Models in Business and Industry
dc.subjectMatrix-geometric distribution
dc.subjectProbability generating function
dc.subjectReliability
dc.subjectShock model
dc.titleA new extended δ-shock model with the consideration of shock magnitude
dc.typeArticle

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