A note on calculating steady state results for an \(M/M/k\) queuing system when the ratio of the arrival rate to the service rate is large
type: Item
instance of: scholarly article
title: A note on calculating steady state results for an \(M/M/k\) queuing system when the ratio of the arrival rate to the service rate is large
zbMATH Open document ID: 0921.90077
DOI: 10.1155/S1173912698000121
author: Barry Alan Pasternack
author: Zvi Drezner
published in: Journal of Applied Mathematics and Decision Sciences
publication date: 1999-03-22T00:00:00Z
full work available at URL: https://eudml.org/doc/119938
review text: Summary: The formulas for calculating steady state results for the M/M/k queueing system are well known. Computational difficulties, however, can arise in using these formulas in situations in which the ratio of the arrival rate to the service rate is high. In this paper we consider a recursive approach for calculating steady state results which avoid such computational difficulties. As an additional benefit, such formulas are far easier to program into a spreadsheet package than the traditional formulas presented in most management science texts.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 1267370
zbMATH Keywords: steady state results
zbMATH Keywords: M/M/k queueing system
zbMATH Keywords: spreadsheet package
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1267370