Publication detail

Multichannel Queueing Systems and Their Simulation

ŠEDA, M. HORKÝ, M. ŠEDOVÁ, J.

Original Title

Multichannel Queueing Systems and Their Simulation

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

Queueing system, Poisson process, system transition

Authors

ŠEDA, M.; HORKÝ, M.; ŠEDOVÁ, J.

Released

1. 8. 2018

Publisher

Springer-Verlag

Location

Berlin

ISBN

978-3-319-53933-1

Book

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.

Edition

Lecture Notes in Electrical Engineering, Vol. 428

Edition number

1.

ISBN

1876-1100

Periodical

Lecture notes in Electrical Engineering

Year of study

428

Number

1

State

United Kingdom of Great Britain and Northern Ireland

Pages from

191

Pages to

197

Pages count

7

URL

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

BibTex

@article{BUT140803,
  author="Miloš {Šeda} and Miroslav {Horký} and Jindřiška {Šedová}",
  title="Multichannel Queueing Systems and Their Simulation",
  journal="Lecture notes in Electrical Engineering",
  year="2018",
  volume="428",
  number="1",
  pages="191--197",
  doi="10.1007/978-3-319-53934-8\{_}23",
  issn="1876-1100",
  url="https://link.springer.com/chapter/10.1007/978-3-319-53934-8_23"
}