Reliability Measures and Optimal Maintenance Policies for a Standby System with Repair Facilities Subject to Breakdown

Tzafestas, SG; Botsaris, CA

dc.contributor.author	Tzafestas, SG	en
dc.contributor.author	Botsaris, CA	en
dc.date.accessioned	2014-03-01T01:06:39Z
dc.date.available	2014-03-01T01:06:39Z
dc.date.issued	1986	en
dc.identifier.issn	0016-0032	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9542
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-46149127926&partnerID=40&md5=64c16bf1e67b8384a821de3c56d9835d	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.title	Reliability Measures and Optimal Maintenance Policies for a Standby System with Repair Facilities Subject to Breakdown	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	The problem of determining optimal maintenance policies for a repairable standby system whose repair facilities are subject to random breakdowns is considered. The reliability measures of this system are derived by the discrete-state continuous-time Markov model, as well as by a more general probabilistic approach. The dynamic optimization problem is discussed and treated by a generalized version of Pontryagin's minimum principle based on an integral Hamiltonian functional. This is applied to the Markov model of the system for deriving both time-variable and fixed maintenance policies over the whole mission time. Then an appropriate cost function, involving a maintenance cost term and a down-time cost term, is minimized with respect to the vector repair rate function u(t) subject to the practical constraint 0 ≤ u(t) ≤ U, where U is a given upper repair rate limit. A particular nontrivial example is given. © 1986.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of the Franklin Institute	en
dc.identifier.isi	ISI:A1986D849900002	en
dc.identifier.volume	321	en
dc.identifier.issue	6	en
dc.identifier.spage	309	en
dc.identifier.epage	323	en