A model for a dynamic preventive maintenance policy. (2000)

• Record Type: Journal Article
• Authors: Cocozza-Thivent, Christiane
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 13:Number 4(2000)
• Page Start: 321
• Page End: 346
• Publication Date: 2000
• Subjects: preventative maintenance -- conditional maintenance -- cost function -- general repair rate -- stationary distribution -- optimization -- optimal maintenance policy -- simulated annealing algorithm -- supplementary variables; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953300000307
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : This paper exhibits a stochastic model which describes the evolution of a material submitted to inspections. When an inspection takes place, a decision depending on the observed state of the material is taken. If the material is in “not too bad” state, no service is rendered, only the date of the next inspection is chosen. If the material is in a “bad” working state, a service takes place. Roughly speaking, the failure rates of the material are constant, the inspection and repair rates are general. We define the average cost function corresponding to the utilization of this material and we show how it can be computed. Then we determine the inspection rates which give the optimal maintenance policy using a simulated annealing algorithm. We observe experimentally that the best durations between inspections are deterministic ones.