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Title: Reliability modeling and analysis with mean residual life
Authors: SHEN YAN
Keywords: Reliability, mean residual life, stochastic aging, probability distribution, failure rate, system reliability
Issue Date: 21-Aug-2009
Citation: SHEN YAN (2009-08-21). Reliability modeling and analysis with mean residual life. ScholarBank@NUS Repository.
Abstract: Mean residual life (MRL), representing how much longer components will work from a certain point of time, is an important measure in reliability analysis and modeling. This thesis focuses on the modeling and analysis issues based on this characteristic. For modeling, this thesis studies both parametric models and nonparametric methods. Firstly, a parametric model, derived from the derivative function of MRL, is developed for a simple, close-formed upside-down bathtub-shaped mean residua life (UBMRL). Besides the parametric model, a nonparametric method is proposed for the estimation of decreasing MRL (DMRL) with Type II censored data. Simulation results indicate that the new proposed parametric model and nonparametric approach are able to give good performances, and can outperform some existing models or methods. For reliability analysis, this work studies the relationship between the MRL and the failure rate function, and investigates the effect of the change of one characteristic on the other characteristic. Moreover, the MRL functions of series and parallel systems with independent and identically distributed components are discussed in term of change point of the MRL; the relationships between the change points of the MRL for systems and for components are obtained.
Appears in Collections:Ph.D Theses (Open)

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