Coherent system with standby components. (19th January 2018)

• Record Type: Journal Article
• Authors: Eryilmaz, Serkan; Erkan, T. Erman
• Other Names: Nicolis Orietta guestEditor.; Pascual Rodrigo guestEditor.
• Is Part Of: Applied stochastic models in business and industry. Volume 34:Number 3(2018)
• Page Start: 395
• Page End: 406
• Publication Date: 2018-01-19
• Subjects: coherent system -- consecutive‐k‐out‐of‐n:F system -- generalized mixture -- reliability -- standby redundancy; Stochastic analysis -- Periodicals; Stochastic processes -- Periodicals; Business mathematics -- Periodicals; Finance -- Mathematical models -- Periodicals; Industrial management -- Mathematical models -- Periodicals; 338.00151923
• DOI: 10.1002/asmb.2307
• Languages: English
• ISSNs: 1524-1904

Abstract

Abstract : A coherent system that consists of n independent components and equipped with r cold standby components is considered. A generalized mixture representation for the survival function of such a system is obtained, and it is used to examine reliability properties of the system. In particular, the effect of adding r standby components to a given set of original components is measured by computing mean time to failure of the system. The limiting behavior of the failure rate of the system is also examined using the mixture representation. The results are illustrated for a bridge system. A case study that is concerned with an oil pipeline system is also presented.