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Article: A shock model for the maintenance problem of a repairable system
Title  A shock model for the maintenance problem of a repairable system 

Authors  
Keywords  Computational geometry Costs Failure analysis Fault tolerant computer systems Preventive maintenance 
Issue Date  2004 
Publisher  Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/cor 
Citation  Computers & Operations Research, 2004, v. 31 n. 11, p. 18071820 How to Cite? 
Abstract  In this paper, a shock model for the maintenance problem of a repairable system is studied. Assume that shocks will arrive according to a Poisson process. If the interarrival time of two successive shocks is less than a threshold, then the system will fail. For a deteriorating system, we assume that the successive threshold values are geometrically nondecreasing after repair, and the consecutive repair times after failure form an increasing geometric process. For an improving system, we assume that the successive threshold values are geometrically decreasing after repair, and the consecutive repair times after failure form a decreasing geometric process. A replacement policy N is adopted by which we shall replace the system by an identical new one at the time following the Nth failure. Then for each of the deteriorating system and improving system, an optimal policy N∗ for minimizing the longrun average cost per unit time is determined explicitly. 
Persistent Identifier  http://hdl.handle.net/10722/224736 
ISSN  2015 Impact Factor: 1.988 2015 SCImago Journal Rankings: 2.237 
DC Field  Value  Language 

dc.contributor.author  Lam, Y   
dc.contributor.author  Zhang, YL   
dc.date.accessioned  20160413T08:32:12Z   
dc.date.available  20160413T08:32:12Z   
dc.date.issued  2004   
dc.identifier.citation  Computers & Operations Research, 2004, v. 31 n. 11, p. 18071820   
dc.identifier.issn  03050548   
dc.identifier.uri  http://hdl.handle.net/10722/224736   
dc.description.abstract  In this paper, a shock model for the maintenance problem of a repairable system is studied. Assume that shocks will arrive according to a Poisson process. If the interarrival time of two successive shocks is less than a threshold, then the system will fail. For a deteriorating system, we assume that the successive threshold values are geometrically nondecreasing after repair, and the consecutive repair times after failure form an increasing geometric process. For an improving system, we assume that the successive threshold values are geometrically decreasing after repair, and the consecutive repair times after failure form a decreasing geometric process. A replacement policy N is adopted by which we shall replace the system by an identical new one at the time following the Nth failure. Then for each of the deteriorating system and improving system, an optimal policy N∗ for minimizing the longrun average cost per unit time is determined explicitly.   
dc.language  eng   
dc.publisher  Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/cor   
dc.relation.ispartof  Computers & Operations Research   
dc.subject  Computational geometry   
dc.subject  Costs   
dc.subject  Failure analysis   
dc.subject  Fault tolerant computer systems   
dc.subject  Preventive maintenance   
dc.title  A shock model for the maintenance problem of a repairable system   
dc.type  Article   
dc.identifier.email  Lam, Y: lamy@hkucc.hku.hk   
dc.identifier.doi  10.1016/S03050548(03)001217   
dc.identifier.scopus  eid_2s2.01942533499   
dc.identifier.hkuros  96518   
dc.identifier.volume  31   
dc.identifier.issue  11   
dc.identifier.spage  1807   
dc.identifier.epage  1820   
dc.publisher.place  United Kingdom   