Asymptotic Behaviors of the Loss Probability for a Finite Buffer Queue with QBD Structure

DOI10.1080/15326340601141919zbMath1115.60092OpenAlexW2020455112MaRDI QIDQ3444703

Shuhei Yamaguchi, Yutaka Sakuma, Masakiyo Miyazawa

Publication date: 4 June 2007

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340601141919

zbMATH Keywords

asymptotic behaviorMarkovian arrival processfinite buffer queueloss probabilityfinite level QBDmany server loss system

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (9)

PH fitting of the arrival interval distribution of the passenger flow on urban rail transit stations ⋮ Asymptotic Behaviors of the Loss Probability for a Finite Buffer Queue with QBD Structure ⋮ A PH/PH\((n)/C/C\) state-dependent queuing model for metro station corridor width design ⋮ Asymptotic behavior of the stationary distribution in a finite QBD process with zero mean drift ⋮ Tail asymptotics of the waiting time and the busy period for the \(\mathrm{M}/\mathrm{G}/1/K\) queues with subexponential service times ⋮ Asymptotic analysis for loss probability of queues with finite \(GI / M /1\) type structure ⋮ Circulation network design for urban rail transit station using a PH(\(n\))/PH(\(n\))/\(C\)/\(C\) queuing network model ⋮ Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer ⋮ Asymptotics in theMAP/G/1 Queue with Critical Load

Cites Work

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• Stochastic block–monotonicity in the approximation of the stationary distribution of infinite markov chains
• The stationary tail asymptotics in the GI/G/1-type queue with countably many background states
• Applied Probability and Queues

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