Assessment of Shock Models for a Particular Class of Intershock Time Distributions
Coskun Kus (coskun@selcuk.edu.tr),
Altan Tuncel (atuncel@kku.edu.tr) and
Serkan Eryilmaz (serkan.eryilmaz@atilim.edu.tr)
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Coskun Kus: Selcuk University
Altan Tuncel: Kirikkale University
Serkan Eryilmaz: Atilim University
Methodology and Computing in Applied Probability, 2022, vol. 24, issue 1, 213-231
Abstract:
Abstract In this paper, delta and extreme shock models and a mixed shock model which combines delta-shock and extreme shock models are studied. In particular, the interarrival times between successive shocks are assumed to belong to a class of matrix-exponential distributions which is larger than the class of phase-type distributions. The Laplace -Stieltjes transforms of the systems’ lifetimes are obtained in a matrix form. Survival functions of the systems are approximated based on the Laplace-Stieltjes transforms. The results are applied for the reliability evaluation of a certain repairable system consisting of two components.
Keywords: Matrix-exponential distribution; Reliability; Repairable system; Shock model; Primary:; 62N05; Secondary:; 62E15 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (4)
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metcap:v:24:y:2022:i:1:d:10.1007_s11009-021-09847-9
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DOI: 10.1007/s11009-021-09847-9
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