Product form in networks of queues with batch arrivals and batch services
type: Item
instance of: scholarly article
title: Product form in networks of queues with batch arrivals and batch services
zbMATH Open document ID: 0699.60089
DOI: 10.1007/BF02411466
author: William Henderson
author: P. G. Taylor
published in: Queueing Systems
publication date: 1990-01-01T00:00:00Z
review text: The paper extends the product form concept to networks of queues with batch arrivals and batch services with routing between queues dependent upon the batches released. The results are valid for continuous time as well as discrete time and for open, closed and mixed queueing networks. The release rates of batches use a generalised form of Kelly's service rate with the additional bonus of incorporating arrival and service intensities into the same, generalised, functional form. Special cases considered include batch releases with independent routing, discrete time queueing networks, discrete time quasireversible networks, networks with correlated routing and stochastic Petri nets.
reviewed by: William Henderson
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60K20
zbMATH DE Number: 4147269
zbMATH Keywords: product form
zbMATH Keywords: networks of queues
zbMATH Keywords: batch arrivals and batch services
zbMATH Keywords: networks with correlated routing
zbMATH Keywords: stochastic Petri nets
Wikidata QID: Q56571776
MaRDI profile type: Publication
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DBLP publication ID: journals/questa/HendersonT90
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description: scientific article; zbMATH DE number 4147269