Discrete Time Minimal Repair Process and Its Reliability Applications under Random Environments

Ji Hwan Cha, Nikolaos Limnios

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, we define a discrete time version of the nonhomogeneous Poisson process and study its properties. For the definition and analysis, we suggest new general concepts for discrete time point processes. The proposed process possesses several stochastic properties which are analogous to those of continuous time nonhomogeneous Poisson process. It will also be shown that, under certain conditions, the proposed discrete time version of nonhomogeneous Poisson process converges to the continuous time version. Based on the proposed process, useful reliability applications are discussed.

Original languageEnglish
JournalStochastic Models
DOIs
StateAccepted/In press - 2021

Bibliographical note

Publisher Copyright:
© 2022 Taylor & Francis Group, LLC.

Keywords

  • arrival process
  • discrete time nonhomogeneous Poisson process
  • Discrete time stochastic intensity
  • failure rate process
  • minimal repair

Fingerprint

Dive into the research topics of 'Discrete Time Minimal Repair Process and Its Reliability Applications under Random Environments'. Together they form a unique fingerprint.

Cite this