A mathematical model for discrete-time buffer systems with correlated output process
type: Item
instance of: scholarly article
title: A mathematical model for discrete-time buffer systems with correlated output process
zbMATH Open document ID: 0553.60091
DOI: 10.1016/0377-2217(84)90267-4
author: Herwig Bruneel
published in: European Journal of Operational Research
publication date: 1984-01-01T00:00:00Z
review text: This paper considers a mathematical model for discrete time buffer systems with one or more input channels and multiple output channels. The analysis of these systems is carried out under the assumption that the output process is described as a first order Markov chain and is correlated. A set of equations describing the behaviour of this buffer system is derived. For a number of interesting special cases this set is solved and explicit expressions are obtained for probability generating function of the number of messages in the buffer. Several prior models for this kind of buffer system were found as special cases of the model under study. A practical example is worked out in detail, and results are compared to the ones obtained for an uncorrelated output process with the same equilibrium distribution, which showed that neglecting the correlation of the output process may lead to different results.
reviewed by: L.R.Goel
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 3881640
zbMATH Keywords: discrete time buffer systems
zbMATH Keywords: probability generating function
zbMATH Keywords: equilibrium distribution
zbMATH Keywords: correlation
MaRDI profile type: Publication
full work available at URL: 0377-2217(84)90267-4
OpenAlex ID: W2076473752
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description: scientific article; zbMATH DE number 3881640