A two-unit parallel system supported by (n - 2) standbys with general and non-identical lifetimes

Papageorgiou, E; Kokolakis, G

dc.contributor.author	Papageorgiou, E	en
dc.contributor.author	Kokolakis, G	en
dc.date.accessioned	2014-03-01T01:19:51Z
dc.date.available	2014-03-01T01:19:51Z
dc.date.issued	2004	en
dc.identifier.issn	0020-7721	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15726
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.other	Availability	en
dc.subject.other	Failure analysis	en
dc.subject.other	Mathematical models	en
dc.subject.other	Probability	en
dc.subject.other	Reliability	en
dc.subject.other	Two unit parallel system	en
dc.subject.other	Two unit standby system models	en
dc.subject.other	Parallel processing systems	en
dc.title	A two-unit parallel system supported by (n - 2) standbys with general and non-identical lifetimes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/00207720310001657027	en
heal.identifier.secondary	http://dx.doi.org/10.1080/00207720310001657027	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	This paper examines a functioning policy of a parallel system. We assume availability of n non-identical, non-repairable units for replacement or support. Two units start their operation simultaneously at times S1 = S2 = 0, and any one of them is replaced instantaneously upon its failure by one of the (n - 2) standby units at random starting times Si (i = 3,⋯,n). Thus, with probability one, the system is functioning with two units up till the failure of the (n - 1)th unit. Unit lifetimes Ti (i = 1,⋯,n) have a general joint distribution function F(t). The system has to operate for a fixed period of time, c, and it stops functioning when all available units fail before c. The probability that the system is functioning for the required period of time c depends on the distribution of the unit lifetimes. The reliability of the system is evaluated by recursive relations. Independent unit lifetimes are considered as special cases.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	International Journal of Systems Science	en
dc.identifier.doi	10.1080/00207720310001657027	en
dc.identifier.isi	ISI:000188792500001	en
dc.identifier.volume	35	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	12	en