Exact tail asymptotics in a priority queue -- characterizations of the non-preemptive model

DOI10.1007/s11134-011-9252-zzbMath1235.60131OpenAlexW4250765222MaRDI QIDQ660140

Yiqiang Q. Zhao, Hui Li

Publication date: 26 January 2012

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-011-9252-z

zbMATH Keywords

generating functionsdecay ratelight tailnon-preemptive priority queueexact tail asymptoticsgeometric decaydouble QBD process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Asymptotic representations in the complex plane (30E15)

Related Items (5)

Heavy-traffic asymptotics of a priority polling system with threshold service policy ⋮ Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process ⋮ Analysis of the queue lengths in a priority retrial queue with constant retrial policy ⋮ A multi-objective fuzzy queuing priority assignment model ⋮ On partially homogeneous nearest-neighbour random walks in the quarter plane and their application in the analysis of two-dimensional queues with limited state-dependency

Cites Work

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• A NONPREEMPTIVE PRIORITY MAP/G/1 QUEUE WITH TWO CLASSES OF CUSTOMERS

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