Detail publikačního výsledku

Models and Simulations of Queueing Systems

ŠEDA, M.; HORKÝ, M.; ŠEDOVÁ, J.

Original Title

Models and Simulations of Queueing Systems

English Title

Models and Simulations of Queueing Systems

Type

Scopus Article

Original Abstract

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

English abstract

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

Keywords

Queue, Markovian chain

Key words in English

Queue, Markovian chain

Authors

ŠEDA, M.; HORKÝ, M.; ŠEDOVÁ, J.

RIV year

2018

Released

01.06.2017

Publisher

Springer-Verlag

Location

Berlin

ISBN

978-3-319-58087-6

Book

Recent Advances in Soft Computing. ICSC-MENDEL 2016

Edition

Advances in Intelligent Systems and Computing, vol. 576

ISBN

2194-5357

Periodical

Advances in Intelligent Systems and Computing

Volume

576

Number

1

State

Swiss Confederation

Pages from

16

Pages to

25

Pages count

10

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT140804,
  author="Miloš {Šeda} and Miroslav {Horký} and Jindřiška {Šedová}",
  title="Models and Simulations of Queueing Systems",
  journal="Advances in Intelligent Systems and Computing",
  year="2017",
  volume="576",
  number="1",
  pages="16--25",
  doi="10.1007/978-3-319-58088-3\{_}2",
  issn="2194-5357"
}