Multichannel Queueing Systems and Their Simulation

Multichannel Queueing Systems and Their Simulation

WoS Article

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.

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.

Queueing system, Poisson process, system transition

Queueing system, Poisson process, system transition

ŠEDA, M.; HORKÝ, M.; ŠEDOVÁ, J.

2020

01.08.2018

Springer-Verlag

Berlin

978-3-319-53933-1

Applied Physics, System Science and Computers. Proceedings of the 1st International Conference on Applied Physics, System Science and Computers (APSAC2016), September 28-30, Dubrovnik, Croatia.

Lecture Notes in Electrical Engineering, Vol. 428

1876-1100

Lecture notes in Electrical Engineering

428

1

United Kingdom of Great Britain and Northern Ireland

191

197

7

https://link.springer.com/chapter/10.1007/978-3-319-53934-8_23