Generalized renewal processes

Abstract

Abstract Generalized renewal processes - GRP - are a flexible formalism for modeling, forecasting, and evaluating repairable systems. Via a virtual age function, GRP extend classical reliability engineering alternatives, such as renewal and Poisson processes. We introduce GRP, taking Uniform-, Weibull-, and Gumbel-based models as exercises. Specifically, mean, variance, random generator function, hypothesis tests, and forecasting are reviewed in the light of recent literature [ 11 , 14 , 35 , 36 ].