Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic
type: Item
instance of: scholarly article
title: Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic
zbMATH Open document ID: 0814.60092
DOI: 10.1007/BF01438710
author: Hong Chen
author: J. George Shanthikumar
published in: Discrete Event Dynamic Systems
publication date: 1995-06-18T00:00:00Z
review text: The authors consider both open and closed networks of multi-server queues in heavy traffic. For processes related with queue length process and waiting time process in the stations they prove the functional strong law of large numbers and the functional central limit theorem in heavy traffic situation. The results generalize the existing ones for networks of single-server queues.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 626362
zbMATH Keywords: open and closed networks of multi-server queues in heavy traffic
zbMATH Keywords: functional strong law of large numbers
zbMATH Keywords: functional central limit theorem
reviewed by: Władysław Szczotka
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01438710
OpenAlex ID: W2068171432
description: scientific article; zbMATH DE number 626362