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of the European Council for Modelling and Simulation

Title:	*Two-Sided Truncations For M_t/M_t/S Queueing Model*
Authors:	Yacov Satin, Anna Korotysheva, Galina Shilova, Alexander Sipin, Elena Fokicheva, Alexander Zeifman, Ksenia Kiseleva, Victor Korolev, Sergey Shorgin
Published in:	(2017).ECMS 2017 Proceedings Edited by: Zita Zoltay Paprika, Péter Horák, Kata Váradi, Péter Tamás Zwierczyk, Ágnes Vidovics-Dancs, János Péter Rádics European Council for Modeling and Simulation. doi:10.7148/2017 ISBN: 978-0-9932440-4-9/ ISBN: 978-0-9932440-5-6 (CD) 31st European Conference on Modelling and Simulation, Budapest, Hungary, May 23^rd – May 26^th, 2017
Citation format:	Yacov Satin, Anna Korotysheva, Galina Shilova, Alexander Sipin, Elena Fokicheva, Alexander Zeifman, Ksenia Kiseleva, Victor Korolev, Sergey Shorgin (2017). Two-Sided Truncations For M_t/M_t/S Queueing Model, ECMS 2017 Proceedings Edited by: Zita Zoltay Paprika, Péter Horák, Kata Váradi, Péter Tamás Zwierczyk, Ágnes Vidovics-Dancs, János Péter Rádics European Council for Modeling and Simulation. doi: 10.7148/2017-0635
DOI:	https://doi.org/10.7148/2017-0635
Abstract:	The paper deals with the problem of existence and construction of limiting characteristics for timeinhomogeneous birth and death processes which is important for queueing applications. For this purpose we calculate the limiting characteristics for the process via the construction of two-sided uniform in time truncation bounds. We consider the M_t/M_t/S queueing model and obtain uniform approximation bounds of two-sided truncations. A numerical example is considered. Our approach to truncations of the state space can be used in modeling information flows related to high-performance computing.
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