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Systems with Queueing and their Simulation

Authors: Miloš Šeda, Pavel Ošmera, Jindřich Petrucha

Abstract:

In the queueing theory, it is assumed that customer arrivals correspond to a Poisson process and service time has the exponential distribution. Using these assumptions, the behaviour of the queueing system can be described by means of Markov chains and it is possible to derive the characteristics of the system. In the paper, these theoretical approaches are presented on several types of systems and it is also shown how to compute the characteristics in a situation when these assumptions are not satisfied

Keywords: Queueing theory, Poisson process, Markov chains.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1070699

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References:


[1] G. Bolch, S. Greiner, H. Meer and K.S. Trivedi, Queueing Networks and Markov Chains. John Wiley & Sons, New York, 2006.
[2] S.K. Bose, An Introduction to Queueing Systems. Springer-Verlag, Berlin, 2001.
[3] R.B. Cooper, Introduction to Queueing Theory. North Holland, New York, 1981.
[4] D. Gross, J.F. Shortle, J.M. Thompson and C.M. Harris, Fundamentals of Queueing Theory. John Wiley & Sons, New York, 2008.
[5] K. Hrubina, A. Jadlovská, S. Hrehová., Optimisation Algorithms Using Programme Systems. Technical University in Košice, Prešov-Košice, 2005.
[6] J. Klvaňa, Modelling. Czech Technical University Prague, 2005.
[7] I. RukovanskÛ, "Evolution of Complex Systems," in Proceedings of the 8th Joint Conference on Information Sciences, Salt Lake City, Utah, USA, 2005.
[8] J. Virtamo, Queueing Theory. Lecture Notes. Helsinki University of Technology, 2005.
[9] A. Willig, A Short Introduction to Queueing Theory. Lecture Notes. Technical University Berlin, 1999, 42 pp.