Queues with boundary assistance: the effects of truncation |
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| Authors: | Guy?Latouche,Giang?T.?Nguyen mailto:giang.nguyen@ulb.ac.be" title=" giang.nguyen@ulb.ac.be" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Peter?G.?Taylor |
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| Affiliation: | 1.Département d’Informatique,Université Libre de Bruxelles,Bruxelles,Belgium;2.Department of Mathematics and Statistics,University of Melbourne,Victoria,Australia |
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| Abstract: | ![]()
We study a system of two queues with boundary assistance, represented as a continuous-time Quasi-Birth-and-Death process (QBD). Under our formulation, this QBD has a ‘doubly infinite’ number of phases. We determine the convergence norm of Neuts’ R-matrix and, consequently, the interval in which the decay rate of the infinite system can lie. |
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