A bathtub pattern for repairable systems : from better-than-minimal to minimal and worse-than-minimal repairs

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Langston, Amy and Finkelstein, Maxim and Cha, Ji Hwan (2025) A bathtub pattern for repairable systems : from better-than-minimal to minimal and worse-than-minimal repairs. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability. ISSN 1748-006X

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Abstract

We introduce a new combined repair process to describe repairs that are initially better-than minimal, then become minimal, before finally becoming worse-than-minimal. The extended generalized Polya process (EGPP), non-homogeneous Poisson process (NHPP), and generalized Polya process (GPP) are used to describe this repair pattern, respectively. Several useful properties are derived for the combined process under two settings: change in repair type after a specified time and change in repair type after a specified number of failures/repairs. As an application, the optimal age replacement problem is de ned and its optimal solution is analyzed. Detailed numerical examples support our findings.

ORCID iDs

Langston, Amy, Finkelstein, Maxim ORCID logoORCID: https://orcid.org/0000-0002-3018-8353 and Cha, Ji Hwan;
  • Item type:Article
    ID code:91604
    Dates:
    Date
    Event
    16 January 2025
    Published
    16 January 2025
    Published Online
    12 November 2024
    Accepted
    16 April 2024
    Submitted
    Subjects:UNSPECIFIED
    Department:Strathclyde Business School > Management Science
    Depositing user: Pure Administrator
    Date deposited:17 Dec 2024 16:12
    Last modified:21 Feb 2025 01:58
    URI:https://strathprints.strath.ac.uk/id/eprint/91604
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