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Analysis of tandem fluid queues

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O'Reilly, MM and Scheinhardt, W, Analysis of tandem fluid queues, Proceedings of the Ninth International Conference on Matrix-Analytic Methods in Stochastic Models, 28-30 June 2016, Budapest, Hungary, pp. 85-92. ISBN 9781450321389 (2016) [Refereed Conference Paper]


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Abstract

We consider a model consisting of two fluid queues driven by the same background continuous-time Markov chain, such that the rates of change of the fluid in the second queue depend on whether the first queue is empty or not. We analyse this tandem model using operator-analytic methods.

Item Details

Item Type:Refereed Conference Paper
Keywords:Markov chains, stochastic fluid models, tandem, Laplace-Stieltjes transform, transient analysis, limiting distribution
Research Division:Mathematical Sciences
Research Group:Statistics
Research Field:Stochastic Analysis and Modelling
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:O'Reilly, MM (Dr Malgorzata O'Reilly)
ID Code:112936
Year Published:2016
Funding Support:Australian Research Council (LP140100152)
Deposited By:Mathematics and Physics
Deposited On:2016-12-05
Last Modified:2017-10-11
Downloads:17 View Download Statistics

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