325
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Shocks models with damage effect evolutions following Markov processes

ORCID Icon & ORCID Icon
Pages 430-444 | Received 13 Apr 2020, Accepted 21 Feb 2022, Published online: 28 Mar 2022
 

Abstract

Shock models have been widely studied in reliability area, because many real phenomena in reliability engineering can be depicted by the shock models. In general, the damage effects of shocks are treated as constants after the shocks arrive. In fact, the damage effects resulted from shocks may have some evolutions due to some self-healings, deteriorations and variations over time. In the present paper, three types of shock models with damage effect evolutions following Markov processes are developed in discrete time situations, then the system reliability formulas and the means and variances of their lifetimes are given. The relationship among the introduced shock models is discussed, and some special cases for three types of shock models are also studied. The asymptotic behaviors of damage evolution processes are presented for a special case. Some numerical examples are presented to illustrate the results obtained in the paper.

Acknowledgements

The authors also thank an associate editor and three anonymous referees for their suggestions for improving the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Natural Science Foundation of China under grants 71871021 & 71631001.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 277.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.