Reliability analysis of a redundant series system with common cause failures and delayed vacation

Shan Gao, Jinting Wang and Jie Zhang

Reliability Engineering and System Safety, 2023, vol. 239, issue C

Abstract: We study a redundant series system with a single repairman in which each primary unit has a standby one. The system is subject to common cause failure (CCF), and it may also break down either when a failed primary unit is unsuccessfully switched to the standby, or when all units are down in a subsystem. If no failed units exist in the system, the repairman takes a delayed vacation. For such a system, by establishing the system’s balance equations and solving a second-order linear nonhomogeneous difference equation with variable coefficients, we first obtain the steady-state distribution of the system and derive some reliability and queueing measures. Moreover, by adopting Markov renewal technique, we carry out an extensive reliability analysis and obtain the Laplace-transform of the time to first failure starting from an arbitrary working state. Some numerical examples arising from a solar energy generating system are presented to illustrate the applicability and effectiveness of the proposed model and results. Finally, a cost-benefit discussion is presented from the perspective of economic profit analysis and some managerial insight.

Keywords: Series system; Delayed vacation; Switching failure; Markov renewal technique; Cost–benefit analysis (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0951832023003812
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:239:y:2023:i:c:s0951832023003812

DOI: 10.1016/j.ress.2023.109467

Access Statistics for this article

Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares

More articles in Reliability Engineering and System Safety from Elsevier
Bibliographic data for series maintained by Catherine Liu ().