Asymptotic expansions for large closed and loss queueing networks
type: Item
instance of: scholarly article
title: Asymptotic expansions for large closed and loss queueing networks
zbMATH Open document ID: 1125.90332
DOI: 10.1080/10241230306726
author: Yaakov Kogan
published in: Mathematical Problems in Engineering
publication date: 2004-11-16T00:00:00Z
review text: Loss and closed queueing network models have long been of interest to telephone and computer engineers and becoming increasingly important as models of data transmission networks. This paper describes a uniform approach that has been developed during the last decade for asymptotic analysis of large capacity networks with product form of the stationary probability distribution. Such a distribution has an explicit form up to the normalization constant, or the partition function. The approach is based on representing the partition function as a contour integral in complex space and evaluating the integral using the saddle point method and theory of residues. This paper provides an introduction to the area and a review of recent work.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B15
zbMATH DE Number: 2115993
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/10241230306726
OpenAlex ID: W2094288767
description: scientific article; zbMATH DE number 2115993