Rate conservation laws for multidimensional processes of bounded variation with applications to priority queueing systems
type: Item
instance of: scholarly article
title: Rate conservation laws for multidimensional processes of bounded variation with applications to priority queueing systems
zbMATH Open document ID: 1049.60082
DOI: 10.1023/B:MCAP.0000017710.98631.46
author: Ravi R. Mazumdar
author: Fabrice M. Guillemin
published in: Methodology and Computing in Applied Probability
publication date: 2004-08-10T00:00:00Z
review text: The paper establishes the rate conservation law (RCL) as well as Fokker-Planck equation for multidimensional stochastic processes of bounded variation. Multidimensional RCL is applied to the M/G/1 queue with preemptive resume priority. Special attention is paid in the analysis of queueing systems to the validity of the so-called reduced service rate approximation, which is often used to approximate the behaviour of the low priority queue. This approximation specifically states that everything happens as if the service rate of the low priority queue were reduced up to the offered traffic of the high priority stream. The paper is concluded with an application of the RCL to derive the buffer content distributions for generalized processor sharing queues.
reviewed by: Oleg K. Zakusilo
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60J40
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 2085804
zbMATH Keywords: rate conservation
zbMATH Keywords: jump processes
zbMATH Keywords: bounded variation
zbMATH Keywords: priority
MaRDI profile type: Publication
full work available at URL: b:mcap.0000017710.98631.46
OpenAlex ID: W2093832952
description: scientific article; zbMATH DE number 2085804