On the ergodic distribution of oscillating queueing systems
type: Item
instance of: scholarly article
title: On the ergodic distribution of oscillating queueing systems
zbMATH Open document ID: 1049.60081
DOI: 10.1155/S104895330300025X
author: Andrzej Chydzinski
author: Mykola Bratiychuk
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2004-05-27T00:00:00Z
full work available at URL: https://eudml.org/doc/51022
review text: The authors consider a single-server queueing system with infinite waiting room, in which the interarrival-time distributions and service-time distributions alternate between two types. The switching points are determined by the time points at which the number of customers in the system reaches a level \(b\) from below and a level \(a<b\) from above. Conditions are given under which the queue length process has a limit distribution. In the special case of exponentially distributed service times and a single interarrival-time distribution, the ergodic distribution is given explicitly.
reviewed by: Erik A. van Doorn
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 68M20
Mathematics Subject Classification ID: 60J45
zbMATH DE Number: 2067320
zbMATH Keywords: queueing model
zbMATH Keywords: potential method
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2067320