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Titlebook: Matrix and Analytical Methods for Performance Analysis of Telecommunication Systems; Valeriy Naumov,Yuliya Gaidamaka,Konstantin Samouyl Te

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Multiservice Loss Networksnetworks with unicast and multicast communications which allow for product-form stationary state distributions. The models are built step by step: first, we consider each type of communications separately, and then combine them in one model. Recursive algorithms are derived to compute blocking probabilities and other stationary characteristics.
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Block Generator Matriceserator matrices and show how they can be used to obtain solutions to equilibrium equations in matrix product and matrix-geometric form. By applying these methods to .and . service systems, we arrive at matrix generalizations of the Erlang and Wilkinson formulas, namely, used in the Equivalent Random Traffic (ERT) method.
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Markovian Systems with Random Resource RequirementseLS in which arrivals and departures are governed by a Markov chain and obtain the necessary and sufficient conditions for the stationary distribution to have a product form. Finally, a simplified technique to compute the stationary state distribution using Fourier transform is derived.
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Textbook 2021ommunication systems. It provides an introduction to the modelling and analysis of telecommunication systems for a broad interdisciplinary audience of students in mathematics and applied disciplines such as computer science, electronics engineering, and operations research.
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Valeriy Naumov,Yuliya Gaidamaka,Konstantin SamouylProvides a broad-based introduction.Covers matrix and other methods for performance analysis.Appeals to an interdisciplinary audience
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Valeriy Naumov,Yuliya Gaidamaka,Natalia Yarkina,Konstantin Samouylovefriedigender Ma­ schnitt zwischen "praktisch relevanter Numerik" thematik" nicht nur nichtleer, sondern sogar "ziemlich groß" ist. Um dies zu vermit­ teln, wurde eine möglichst gut lesbare Darstellung angestrebt, welche insbesondere ein Selbststudium erleichtert.978-3-528-07232-2978-3-663-07747-3
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