Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times

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Goyal, Dheeraj and Hazra, Nil Kamal and Finkelstein, Maxim (2024) Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times. Journal of Computational and Applied Mathematics, 435. 115090. ISSN 0377-0427 (https://doi.org/10.1016/j.cam.2023.115090)

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Abstract

Some general shock models are considered under the assumption that shocks occur according to a renewal process with the matrix Mittag-Leffler distributed inter-arrival times. As the class of matrix Mittag–Leffler distributions is wide and well-suited for modeling the heavy tail phenomena, these shock models can be very useful for analysis of lifetimes of systems subject to random shocks with inter-arrival times having heavier tails. Some relevant stochastic properties of the introduced models are described. Finally, two applications, namely, the optimal replacement policy and the optimal mission duration are discussed.

ORCID iDs

Goyal, Dheeraj, Hazra, Nil Kamal and Finkelstein, Maxim ORCID logoORCID: https://orcid.org/0000-0002-3018-8353;
  • Item type:Article
    ID code:83867
    Dates:
    Date
    Event
    1 January 2024
    Published
    25 January 2023
    Published Online
    31 December 2022
    Accepted
    Subjects:Science > Mathematics
    Department:Strathclyde Business School > Management Science
    Depositing user: Pure Administrator
    Date deposited:26 Jan 2023 12:54
    Last modified:05 Jan 2025 09:26
    URI:https://strathprints.strath.ac.uk/id/eprint/83867
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