dc.contributor.author | Bartholomew-Biggs, M. | |
dc.contributor.author | Christianson, B. | |
dc.contributor.author | Zuo, M. | |
dc.date.accessioned | 2008-07-28T12:56:37Z | |
dc.date.available | 2008-07-28T12:56:37Z | |
dc.date.issued | 2006 | |
dc.identifier.citation | Bartholomew-Biggs , M , Christianson , B & Zuo , M 2006 , ' Optimizing Preventive Maintenance Models ' , Computational Optimization and Applications , vol. 35 , no. 2 , pp. 261-279 . https://doi.org/10.1007/s10589-006-6449-x | |
dc.identifier.issn | 0926-6003 | |
dc.identifier.other | dspace: 2299/2266 | |
dc.identifier.uri | http://hdl.handle.net/2299/2266 | |
dc.description | ' The original publication is available at www.springerlink.com ' Copyright Springer | |
dc.description.abstract | We deal with the problem of scheduling preventive maintenance (PM) for a system so that, over its operating life, we minimize a performance function which reflects repair and replacement costs as well as the costs of the PM itself. It is assumed that a hazard rate model is known which predicts the frequency of system failure as a function of age. It is also assumed that each PM produces a step reduction in the effective age of the system. We consider some variations and extensions of a PMscheduling approach proposed by Lin et al [6]. In particular we consider numerical algorithms which may be more appropriate for hazard rate models which are less simple than those used in [6] and we introduce some constraints into the problem in order to avoid the possibility of spurious solutions. We also discuss the use of automatic differentiation (AD) as a convenient tool for computing the gradients and Hessians that are needed by numerical optimization methods. The main contribution of the paper is a new problem formulation which allows the optimal number of occurrences of PM to be determined along with their optimal timings. This formulation involves the global minimization of a non-smooth performance function. In our numerical tests this is done via the algorithm DIRECT proposed by Jones et al [19]. We show results for a number of examples, involving different hazard rate models, to give an indication of how PM schedules can vary in response to changes in relative costs of maintenance, repair and replacement. | en |
dc.format.extent | 103063 | |
dc.language.iso | eng | |
dc.relation.ispartof | Computational Optimization and Applications | |
dc.title | Optimizing Preventive Maintenance Models | en |
dc.contributor.institution | School of Computer Science | |
dc.contributor.institution | Science & Technology Research Institute | |
dc.contributor.institution | School of Physics, Astronomy and Mathematics | |
dc.description.status | Peer reviewed | |
rioxxterms.versionofrecord | 10.1007/s10589-006-6449-x | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |