Author:
Fayolle G.,King P. J.B.,Mitrani I.
Abstract
A class of two-dimensional Birth-and-Death processes, with applications in many modelling problems, is defined and analysed in the steady-state. These are processes whose instantaneous transition rates are state-dependent in a restricted way. Generating functions for the steady-state distribution are obtained by solving a functional equation in two variables. That solution method lends itself readily to numerical implementation. Some aspects of the numerical solution are discussed, using a particular model as an example.
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Networks and Communications,Hardware and Architecture,Software
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2 articles.
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