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Optimizing Preventive Maintenance Models.
- Source :
- Computational Optimization & Applications; Oct2006, Vol. 35 Issue 2, p261-279, 19p, 3 Charts, 6 Graphs
- Publication Year :
- 2006
-
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 PM scheduling 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09266003
- Volume :
- 35
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Computational Optimization & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 22877625
- Full Text :
- https://doi.org/10.1007/s10589-006-6449-x