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On renewal processes relating to counter models: the case of phase-type interarrival times
Published online by Cambridge University Press: 14 July 2016
Abstract
The Type I and Type II counter models of Pyke (1958) have many applications in applied probability: in reliability, queueing and inventory models, for example. In this paper, we study the case in which the interarrival time distribution is of phase type. For the two counter models, we derive the renewal functions of the related renewal processes and propose approaches for their computations.
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- Copyright © Applied Probability Trust 1993
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