Operations Research, Systems Engineering and Industrial Engineering Commons^™

A New Stochastic Model For Systems Under General Repairs, Haitao Liao

Faculty Publications and Other Works -- Industrial & Information Engineering

Numerous stochastic models for repairable systems have been developed by assuming different time trends, and re- pair effects. In this paper, a new general repair model based on the repair history is presented. Unlike the existing models, the closed- form solutions of the reliability metrics can be derived analytically by solving a set of differential equations. Consequently, the con- fidence bounds of these metrics can be easily estimated. The pro- posed model, as well as the estimation approach, overcomes the drawbacks of the existing models. The practical use of the proposed model is demonstrated by a much-discussed set of data. …