Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer
type: Item
instance of: scholarly article
title: Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer
zbMATH Open document ID: 1191.60105
author: Yutaka Sakuma
author: Masakiyo Miyazawa
published in: Queueing Systems
publication date: 2010-05-21T00:00:00Z
review text: The paper considers a stochastic fluid queue with a finite buffer, where the fluid flow is modulated by a background Markov chain with a finite state space. It is assumed that the transition probabilities of the background Markov chain change when the buffer content is empty or full. The objective of the paper is twofold. The authors derive the asymptotic loss rate of the Markov-modulated fluid queue with a finite buffer. When the mean drift of the net fluid flow is not null, this was studied earlier. The paper includes the null drift case. The authors consider the density of the stationary buffer content distribution and derive it in matrix exponential form. This density is particularly useful for getting the asymptotic loss rate for the null drift case. Deriving the stationary distribution in tractable form is the second purpose.
reviewed by: Oleg K. Zakusilo
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 60K37
zbMATH DE Number: 5710665
zbMATH Keywords: Fluid queue
zbMATH Keywords: finite buffer
zbMATH Keywords: Markov-modulated
zbMATH Keywords: loss rate
zbMATH Keywords: null drift
MaRDI profile type: Publication
full work available at URL: s11134-010-9169-y
OpenAlex ID: W2079526666
cites work: Applied Probability and Queues
cites work: Loss Rates for Lévy Processes with Two Reflecting Barriers
cites work: Analysis and design of rate-based congestion control of high speed networks. I: Stochastic fluid models, access regulation
cites work: Analysis of a Feedback Fluid Model for Heterogeneous TCP Sources
cites work: Asymptotic behavior of the stationary distribution in a finite QBD process with zero mean drift
cites work: Hitting probabilities in a Markov additive process with linear movements and upward jumps: applications to risk and queueing processes.
cites work: A matrix exponential form for hitting probabilities and its application to a Markov-modulated fluid queue with downward jumps
cites work: Asymptotic Behaviors of the Loss Probability for a Finite Buffer Queue with QBD Structure
DOI: 10.1007/S11134-010-9169-Y
description: scientific article; zbMATH DE number 5710665