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 (2024) 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 (In Press)

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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

and Cha, Ji Hwan;

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Item metadata

Item type:	Article
ID code:	91604
Dates:	Date Event 12 November 2024 Published 12 November 2024 Accepted
Subjects:	UNSPECIFIED
Department:	Strathclyde Business School > Management Science
Depositing user:	Pure Administrator
Date deposited:	17 Dec 2024 16:12
Last modified:	18 Dec 2024 04:14
URI:	https://strathprints.strath.ac.uk/id/eprint/91604

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