m -Consecutive- k -out-of- n: F Structures with a Single Change Point

Ioannis S. Triantafyllou
Additional contact information
Ioannis S. Triantafyllou: Department of Computer Science & Biomedical Informatics, University of Thessaly, 35131 Lamia, Greece

Mathematics, 2020, vol. 8, issue 12, 1-14

Abstract: In the present article, we introduce the m -consecutive- k -out-of- n: F structures with a single change point. The aforementioned system consists of n independent components, of which the first n 1 units are identically distributed with common reliability p 1 , while the remaining ones share a different functioning probability p 2 . The general setup of the proposed reliability structures is presented in detail, while an explicit expression for determining the number of its path sets of a given size is derived. Additionally, closed formulae for the reliability function and mean time to failure of the aforementioned models are also provided. For illustration purposes, several numerical results and comparisons are presented in order to shed light on the performance of the proposed structure.

Keywords: m -consecutive- k- out-of- n : F systems; change point; number of path sets; mean time to failure; reliability function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/12/2203/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/12/2203/ (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:gam:jmathe:v:8:y:2020:i:12:p:2203-:d:460167

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().