A bivariate optimal replacement policy for a system subject to a generalized failure and repair process

Hyunju Lee, Ji Hwan Cha

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Traditionally, in the studies of the optimal maintenance policies for repairable systems, the nonhomogeneous Poisson process model, which corresponds to the minimal repair process, has been intensively applied. However, in many practical situations, the repair type is not necessarily minimal. In this article, a new repair process based on a new counting process model (so-called the generalized Polya process) is introduced. Then, the issue of the optimal replacement problem is discussed. A bivariate preventive replacement policy is developed and the properties of the optimal policy are studied. Illustrative examples are also presented. In addition, a comparison with a conventional replacement policy is performed.

Original languageEnglish
Pages (from-to)637-650
Number of pages14
JournalApplied Stochastic Models in Business and Industry
Volume35
Issue number3
DOIs
StatePublished - 1 May 2019

Bibliographical note

Publisher Copyright:
© 2018 John Wiley & Sons, Ltd.

Keywords

  • dependent increments property
  • generalized Polya process
  • optimal maintenance policy
  • stochastic intensity
  • worse than minimal repair

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