Computational analysis of the maximal queue length in the MAP/\(M\)/\(c\) retrial queue

DOI10.1016/j.amc.2006.05.140zbMath1105.65304OpenAlexW2079225559MaRDI QIDQ865601

Jesus R. Artalejo, Srinivas R. Chakravarthy

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.140

zbMATH Keywords

queueingnumerical examplesbusy periodMarkovian arrival processretrialalgorithmic probabilitycontinuous-time Markov chain

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items

The Busy Period and the Waiting Time Analysis of a MAP/M/c Queue with Finite Retrial Group ⋮ Moments of the queue size distribution in the MAP/G/1 retrial queue ⋮ Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli schedule vacation, Bernoulli feedback and renege of customers ⋮ Algorithmic analysis of the maximum level length in general-block two-dimensional Markov processes ⋮ Unnamed Item ⋮ A survey of retrial queueing systems

Cites Work

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• Standard and retrial queueing systems: A comparative analysis
• Extreme values of birth and death processes and queues
• Analysis of a retrial queuing model with MAP arrivals and two types of customers.
• \(MAP_ 1,MAP_ 2/M/c\) retrial queue with the retrial group of finite capacity and geometric loss.
• A retrial BMAP/PH/N system
• A multi-server retrial queue with BMAP arrivals and group services
• An \(M/PH/k\) retrial queue with finite number of sources
• \(\text{MAP}_1, \text{MAP}_2/\text{M/}c\) retrial queue with guard channels and its application to cellular networks
• Matrix analytic methods for a multi-server retrial queue with buffer
• A bibliographical guide to the analysis of retrial queues through matrix analytic techniques
• Algorithmic Analysis of the Maximum Queue Length in a Busy Period for the M/M/c Retrial Queue
• New results on the single server queue with a batch markovian arrival process
• A MULTI-SERVER QUEUEING MODEL WITH MARKOVIAN ARRIVALS AND MULTIPLE THRESHOLDS
• Retrial Queues
• The Distribution of the Maximum Length of a Poisson Queue During a Busy Period
• On extreme values of orbit lengths in \(M/G/1\) queues with constant retrial rate

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