Lost capacity of the weighted k-out-of-n system with discrete component lifetimes

Agnieszka Goroncy, Jasiński, Krzysztof, Faustyna Korejwo and Marta Rudzate

Reliability Engineering and System Safety, 2025, vol. 259, issue C

Abstract: In this paper we consider a weighted k-out-of-n system. Each component has a positive integer-valued weight assigned interpreted as its total capacity. The system is in a working state if the accumulated weights of all working components are at least k. The component lifetimes may be dependent and non-identically discretely distributed random variables. The primary focus is the capacity lost by the system upon its failure, for which we derive the probability mass function. This quantity has a potential that enables optimal system design. We also provide two numerical examples which give a demonstration of the theoretical results.

Keywords: Weighted k-out-of-n system; Capacity loss; Reliability theory; Discrete lifetime distribution; Multivariate geometric distribution; Dependent not identically distributed random variables (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0951832025001024
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:259:y:2025:i:c:s0951832025001024

DOI: 10.1016/j.ress.2025.110899

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 ().