Geometric equilibrium distributions for queues with interactive batch departures
type: Item
instance of: scholarly article
title: Geometric equilibrium distributions for queues with interactive batch departures
zbMATH Open document ID: 0818.90051
DOI: 10.1007/BF02033316
author: B. S. Northcote
author: William Henderson
author: P. G. Taylor
published in: Annals of Operations Research
publication date: 1994-04-07T00:00:00Z
review text: The authors start with a result of \textit{E. Gelenbe} [J. Appl. Probab. 28, No. 3, 656-663 (1991; Zbl 0741.60091)] who generalized Jackson networks for `positive' and `negative' customers and gave conditions under which again geometric product form equilibrium distributions exist. In this paper these results are again generalized to batches of `negative' customers. Appropriate conditions are given and their relations to traffic equations for the throughput of the individual queues are proved.
Mathematics Subject Classification ID: 90B15
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K20
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 513147
zbMATH Keywords: queueing networks
zbMATH Keywords: batches of negative customers
zbMATH Keywords: generalized Jackson networks
zbMATH Keywords: geometric product form equilibrium distributions
zbMATH Keywords: traffic equations
MaRDI profile type: Publication
Wikidata QID: Q58645578
cites work: Product-form queueing networks with negative and positive customers
cites work: Queues with negative arrivals
cites work: Q3993079
cites work: Equilibrium distributions for an open migration process
description: scientific article; zbMATH DE number 513147