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Digital Library

of the European Council for Modelling and Simulation

 

Title:

Two-Sided Truncations For Mt/Mt/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 23rd – May 26th, 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 Mt/Mt/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 Mt/Mt/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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