Scheduling starting times for an active redundant system with non-identical lifetimes

Kokolakis, G; Papageorgiou, E

dc.contributor.author	Kokolakis, G	en
dc.contributor.author	Papageorgiou, E	en
dc.date.accessioned	2014-03-01T01:25:06Z
dc.date.available	2014-03-01T01:25:06Z
dc.date.issued	2006	en
dc.identifier.issn	0307-904X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17545
dc.subject	Active redundancy	en
dc.subject	Non-identical units	en
dc.subject	Optimal ordering	en
dc.subject	Parallel system	en
dc.subject	Recursive probabilistic analysis	en
dc.subject	Reliability	en
dc.subject	Standbys	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Optimization	en
dc.subject.other	Probability	en
dc.subject.other	Redundancy	en
dc.subject.other	Reliability	en
dc.subject.other	Scheduling	en
dc.subject.other	Active redundancy	en
dc.subject.other	Non-identical lifetimes	en
dc.subject.other	Optimal ordering	en
dc.subject.other	Parallel system	en
dc.subject.other	Recursive probabilistic analysis	en
dc.subject.other	Standbys	en
dc.subject.other	Operations research	en
dc.subject.other	Operations research	en
dc.subject.other	Optimization	en
dc.subject.other	Probability	en
dc.subject.other	Redundancy	en
dc.subject.other	Reliability	en
dc.subject.other	Scheduling	en
dc.title	Scheduling starting times for an active redundant system with non-identical lifetimes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.apm.2005.08.010	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.apm.2005.08.010	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Here we examine an active redundant system with scheduled starting times of the units. We assume availability of n non-identical, non-repairable units for replacement or support. The original unit starts its operation at time s(1) = 0 and each one of the (n - 1) standbys starts its operation at scheduled time s(i) (i = 2,..., n) and works in parallel with those already introduced and not failed before s(i). The system is up at times s(i) (i = 2,..., n), if and only if, there is at least one unit in operation. Thus, the system has the possibility to work with up to n units, in parallel structure. Unit-lifetimes T-i (i = 1,..., n) are independent with cdf F-i, respectively. The system has to operate without inspection 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 and on the scheduling of the starting times s(i). The reliability of the system is evaluated via a recursive relation as a function of the starting times s(i) (i = 2,..., n). Maximizing with respect to the starting times we get the optimal ones. Analytical results are presented for some special distributions and moderate values of n. (c) 2005 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematical Modelling	en
dc.identifier.doi	10.1016/j.apm.2005.08.010	en
dc.identifier.isi	ISI:000241621100004	en
dc.identifier.volume	30	en
dc.identifier.issue	12	en
dc.identifier.spage	1535	en
dc.identifier.epage	1545	en