Author:
Ansell J.,Bendell A.,Humble S.
Abstract
A class of stochastic processes useful in the investigation of the deterioration and replacement of equipment, as well as in the study of group arrival/batch service queues, storage systems, epidemics and computer software, is introduced. These so-called nested renewal processes consist of ordinary and cumulative renewal processes sequentially nested within a hierarchy. The main properties of these processes are discussed with emphasis on the asymptotic results. An example of their application to tyre wear is considered.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
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