Combined m -Consecutive- k -Out-of- n: F and Consecutive k c -Out-of- n: F Structures with Cold Standby Redundancy

Ioannis S. Triantafyllou ()
Additional contact information
Ioannis S. Triantafyllou: Department of Statistics and Insurance Science, University of Piraeus, 185 34 Piraeus, Greece

Mathematics, 2023, vol. 11, issue 12, 1-13

Abstract: In the present work, we study the combined m -consecutive- k -out-of- n : F and k c -out-of- n : F reliability systems, which consist of independent and identically distributed components. Two different redundancy policies are considered, and their general frameworks are described and illustrated. The main objective of the paper refers to the investigation of the effect of adding cold standby redundancy to the system at the the system level and the component level. Exact formulae for determining the crucial characteristics of the enhanced structure, such as its survival function, the mean time to failure and the mean residual lifetime, are provided. All formulae proved in the present manuscript are explicit expressions which are based on the signature vector of the resulting reliability schemes. An extensive numerical investigation is carried out to shed light on the performance of the combined m -consecutive- k -out-of- n : F and consecutive k c -out-of- n : F reliability systems with cold standby redundancy. Some concluding remarks and comments are provided upon the determination of the optimal design parameters.

Keywords: signature; survival function; reliability consecutive-type structures; mean time to failure; mean residual lifetime; cold standby redundancy; systems with two failure criteria (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/12/2597/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/12/2597/ (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:11:y:2023:i:12:p:2597-:d:1165096

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 ().