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Article: A geometric-process maintenance model for a deteriorating system under a random environment

TitleA geometric-process maintenance model for a deteriorating system under a random environment
Authors
Issue Date2003
PublisherIEEE.
Citation
IEEE Transactions on Reliability, 2003, v. 52 n. 1, p. 83-89 How to Cite?
AbstractThis paper studies a geometric-process maintenance-model for a deteriorating system under a random environment. Assume that the number of random shocks, up to time t, produced by the random environment forms a counting process. Whenever a random shock arrives, the system operating time is reduced. The successive reductions in the system operating time are statistically independent and identically distributed random variables. Assume that the consecutive repair times of the system after failures, form an increasing geometric process; under the condition that the system suffers no random shock, the successive operating times of the system after repairs constitute a decreasing geometric process. A replacement policy N, by which the system is replaced at the time of the failure N, is adopted. An explicit expression for the average cost rate (long-run average cost per unit time) is derived. Then, an optimal replacement policy is determined analytically. As a particular case, a compound Poisson process model is also studied.
Persistent Identifierhttp://hdl.handle.net/10722/43504
ISSN
2015 Impact Factor: 2.287
2015 SCImago Journal Rankings: 1.930
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLam, Yen_HK
dc.contributor.authorZhang, YLen_HK
dc.date.accessioned2007-03-23T04:47:22Z-
dc.date.available2007-03-23T04:47:22Z-
dc.date.issued2003en_HK
dc.identifier.citationIEEE Transactions on Reliability, 2003, v. 52 n. 1, p. 83-89en_HK
dc.identifier.issn0018-9529en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43504-
dc.description.abstractThis paper studies a geometric-process maintenance-model for a deteriorating system under a random environment. Assume that the number of random shocks, up to time t, produced by the random environment forms a counting process. Whenever a random shock arrives, the system operating time is reduced. The successive reductions in the system operating time are statistically independent and identically distributed random variables. Assume that the consecutive repair times of the system after failures, form an increasing geometric process; under the condition that the system suffers no random shock, the successive operating times of the system after repairs constitute a decreasing geometric process. A replacement policy N, by which the system is replaced at the time of the failure N, is adopted. An explicit expression for the average cost rate (long-run average cost per unit time) is derived. Then, an optimal replacement policy is determined analytically. As a particular case, a compound Poisson process model is also studied.en_HK
dc.format.extent448077 bytes-
dc.format.extent25088 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Reliability-
dc.rights©2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleA geometric-process maintenance model for a deteriorating system under a random environmenten_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0018-9529&volume=52&issue=1&spage=83&epage=89&date=2003&atitle=A+geometric-process+maintenance+model+for+a+deteriorating+system+under+a+random+environmenten_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TR.2002.807243en_HK
dc.identifier.scopuseid_2-s2.0-0037333694-
dc.identifier.hkuros75818-
dc.identifier.isiWOS:000181104200019-
dc.identifier.citeulike10775408-

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