Heavy traffic limit theorems for a sequence of shortest queueing systems
type: Item
instance of: scholarly article
title: Heavy traffic limit theorems for a sequence of shortest queueing systems
zbMATH Open document ID: 0841.60074
DOI: 10.1007/BF01158582
author: Rongxin Wang
author: Hanqin Zhang
author: Guang-Hui Hsu
published in: Queueing Systems
publication date: 1996-03-05T00:00:00Z
review text: A sequence of queueing systems, each with \(r\) arrival streams and \(s\) servers and such that entering customers join the shortest queue, is considered. The authors prove functional limit theorems for the queue length and waiting time processes under the condition that the sequence of traffic intensities converges to 1 at appropriate rates.
reviewed by: Wolfgang Stadje
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 851512
zbMATH Keywords: shortest line queueing systems
zbMATH Keywords: functional limit theorem
zbMATH Keywords: heavy traffic
zbMATH Keywords: reflected Brownian motion
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01158582
OpenAlex ID: W2056925735
description: scientific article; zbMATH DE number 851512