A sequential method for preventive maintenance and replacement of a repairable single-unit system
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A sequential method for preventive maintenance and replacement of a repairable single-unit system KK Lai1*, KNF Leung1, B Tao2 and SY Wang2 1
The City University of Hong Kong, Hong Kong; and 2Chinese Academy of Sciences, Beijing, Peoples Republic of China
This paper is concerned with when to implement preventive maintenance (PM) and replacement for a repairable ‘singleunit’ system in use. Under the main assumption that a ‘single-unit’ system gradually deteriorates with time, a sequential method is proposed to determine an optimal PM and replacement strategy for the system based on minimising expected loss rate. According to this method, PM epochs are determined one after the other, and consequently we can make use of all previous information on the operation process of the system. Also the replacement epoch depends on the effective age of the system. A numerical example shows that the sequential method can be used to solve the PM and replacement problem of a ‘single-unit’ system efficiently. Some properties of the loss functions W ðLn ; bn Þ and Wr ðN Þ with respect to PM and replacement respectively are discussed in the appendix. Keywords: corrective maintenance; preventive maintenance; replacement; sequential method; loss
Introduction Various methods have been proposed over the last four decades to make a strategy of preventive maintenance (PM) and=or replacement for a ‘single-unit’ or ‘complex’ system, starting with the pioneering work of Barlow and Proschan1 and some other researchers in the 1960s. The methods proposed in the early period were very simple but lucid. Their extensions were made in the 1970s and the early 1980s, but a limitation of some of those extended methods is that they were hardly ever used to solve real problems because of the computation difficulties. Because of the increasing demand to solve systems PM and=or replacement problems in practice, more attention has been paid to this field recently. For the development of PM and=or replacement methods, we can refer to surveys carried out by McCall,2 Pierskalla and Voelker,3 Sherif and Smith,4 Christer,5 Thomas,6,7 Valdez-Flores and Feldman,8 and Cho and Parlar.9 When considering implementation, the majority of the authors in the maintenance literature have focused on determining periodic PM and=or replacement strategies. Specificially, a PM or replacement action can be made periodically at fixed multiples of some predetermined time interval T . Accordingly, a common time interval T is determined before the start of the operation process of a ‘single-unit’ or ‘complex’ system. This interval also prescribes all PM or replacement epoches, ie the system is maintained or replaced preventively at times kT *Correspondence: KK Lai, Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong. Email: [email protected]
ðk ¼ 1; 2 . . .Þ. When implementing such a periodic strategy, PM or replacement
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