Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
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 satisfiedKeywords: Queueing theory, Poisson process, Markov chains.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1070699
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1292References:
[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.