 Reliability of a mixed δ-shock model with a random change point in shock magnitude distribution and an optimal replacement policyStathis Chadjiconstantinidis and Serkan Eryilmaz Reliability Engineering and System Safety, 2023, vol. 232, issue C Abstract: A mixed δ-shock model when there is a change in the distribution of the magnitudes of shocks is defined and studied. Such a model which is a combination of the δ-shock model and the extreme shock model with a random change point (studied by Eryilmaz and Kan, 2019), is useful in practice since a sudden change in environmental conditions may cause a larger shock. In particular, the reliability and the mean time to failure of the system are evaluated by assuming that the random change point has a discrete phase-type distribution. Analytical results for evaluating the reliability function of the system for several joint distributions of the interarrival times and the magnitudes of shocks, are also given. The optimal replacement policy that is based on a control limit is also proposed when the number of shocks until the change point follows geometric distribution. The results are illustrated by numerical examples. Keywords: Mixed δ-shock model; Change point; Optimal replacement; Phase-type distribution; Compound distribution; Reliability function (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:232:y:2023:i:c:s0951832022006950 DOI: 10.1016/j.ress.2022.109080 Access Statistics for this article Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares More articles in Reliability Engineering and System Safety from Elsevier |
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