Comparing limiting availabilities of a k-out-of-n: G system and a k-component series system with $$(n-k)$$ ( n - k ) spare components

Jyotirmoy Sarkar () and Ziting Tang
Additional contact information
Jyotirmoy Sarkar: Indiana University-Purdue University Indianapolis
Ziting Tang: Indiana University-Purdue University Indianapolis

Annals of Operations Research, 2022, vol. 312, issue 1, No 19, 389-409

Abstract: Abstract The limiting availability of an ordinary k-out-of-n : G system can be improved simply by operating exactly k operable units while keeping any other operable units on cold standby. We establish this truth when there are different numbers of repair facilities, the repair time is exponential, and either each component has an exponential lifetime, or each component is made up of m identical sub-components that operate sequentially, with each sub-component having an exponential lifetime.

Keywords: Continuous time stochastic process; Markov chain; Mean system up time; Mean system down time; Steady state equations (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10479-019-03377-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-019-03377-x

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-019-03377-x

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().