Reliability evaluation of consecutive k-out-of-m: F balanced systems with a symmetry line

Chen Fang and Lirong Cui

Journal of Risk and Reliability, 2022, vol. 236, issue 5, 816-827

Abstract: Based on some real backgrounds, a new balanced system structure, a consecutive k -out-of- m : F system with a symmetry line, is proposed in this paper. Considering different state numbers of a subsector, the new balanced system is analyzed under two situations respectively: the subsector with binary-state and the subsector with multi-state, while the multi-state balanced systems have not been studied in the previous research. Besides, two models are developed in terms of assumptions for the two situations, respectively. For this system, several methods, such as the finite Markov chain imbedding approach, the order statistics technique and the phase-type distributions, are used on the models. In addition to system reliability formulas, the means and variances of the system lifetimes under two models for different situations are given. Finally, numerical examples are presented to illustrate the results obtained in this paper.

Keywords: Balanced system; phase-type distributions; finite Markov chain imbedding approach; consecutive k-out-of-m: F (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://journals.sagepub.com/doi/10.1177/1748006X211038112 (text/html)

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:sae:risrel:v:236:y:2022:i:5:p:816-827

DOI: 10.1177/1748006X211038112

Access Statistics for this article

More articles in Journal of Risk and Reliability
Bibliographic data for series maintained by SAGE Publications ().