On the multiattempt minimal repair and the corresponding counting process

Cha, Ji Hwan and Finkelstein, Maxim (2024) On the multiattempt minimal repair and the corresponding counting process. Applied Stochastic Models in Business and Industry, 40 (1). pp. 206-215. ISSN 1524-1904 (https://doi.org/10.1002/asmb.2819)

[thumbnail of Cha-Finkelstein-ASMBI-2023-On the-multiattempt-minimal-repair-and-the-corresponding-counting-process]
Preview
 Text. Filename: Cha_Finkelstein_ASMBI_2023_On_the_multiattempt_minimal_repair_and_the_corresponding_counting_process.pdf
Accepted Author Manuscript
License: Strathprints license 1.0
Download (612kB)| Preview

Abstract

Minimally repaired items are considered. In practice, minimal repair can be unsuccessful, and in this case, it should be repeated. The Polya‐Aeppli process, which is a generalization of the Poisson process is used in the article for the corresponding modeling. Some properties, useful for optimal maintenance, are derived. An important generalization to the case when the probability of the unsuccessful attempt is time‐dependent is described. An application of the derived results to obtaining the optimal time of replacement for a system with multiattempt minimal repairs is discussed. The study is illustrated by detailed numerical examples.

CORE (COnnecting REpositories)