Multichannel Queueing Systems and Their Simulation

Authors

ŠEDA Miloš ŠEDOVÁ Jindřiška HORKÝ Miroslav

Year of publication 2018
Type Article in Proceedings
Conference APPLIED PHYSICS, SYSTEM SCIENCE AND COMPUTERS
MU Faculty or unit

Faculty of Economics and Administration

Citation
Doi http://dx.doi.org/10.1007/978-3-319-53934-8_23
Field Management theory and systems
Keywords Queueing system; Poisson process; System transition
Description This paper is concerned with multichannel queueing systems showing how to derive their characteristics if the requirement arrivals correspond to a Poisson process and the service times have the exponential distribution. However, the requirements of stationarity, regularity, and independence of increases needed to model these processes by Markov chains and to define the transition probabilities may not be satisfied, or no information may be available on such parameters. Using randomly generated data, we propose a strategy of processing the requirements in multichannel systems and a way of evaluating the probabilities necessary to express the characteristics of the systems comparing these results with the theoretical ones. It has been discovered that with, as the number of outputs increases, the simulation results converge to the theoretical ones.

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