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Analysis of tandem fluid queues
Citation
O'Reilly, MM and Scheinhardt, W, Analysis of tandem fluid queues, Proceedings of the 9th 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 |
| UTAS Author: | O'Reilly, MM (Associate Professor 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: | 2018-03-20 |
| Downloads: | 70 View Download Statistics |
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