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Perturbation bounds and truncations for a class of Markovian queues |
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| Authors: | Alexander Zeifman Victor Korolev Yacov Satin Anna Korotysheva Vladimir Bening |
| Affiliation: | 1. Vologda State University, Vologda, Russia 2. Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia 3. Institute of Socio-Economic Development of Territories, Russian Academy of Sciences, Vologda, Russia 4. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia |
| Abstract: | We consider time-inhomogeneous Markovian queueing models with batch arrivals and group services. We study the mathematical expectation of the respective queue-length process and obtain the bounds on the rate of convergence and error of truncation of the process. Specific queueing models are shown as examples. |
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