Publication detail
Systems with Queueing and Their Simulation
ŠEDA, M. OŠMERA, P.
Czech title
Systémy hromadné obsluhy a jejich simulace
English title
Systems with Queueing and Their Simulation
Type
journal article - other
Language
en
Original 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 satisfied.
Czech abstract
V teorii hromadné obsluhy se předpokládá, že příchody požadavku zákazník do systému odpovídají Poissonově rozdělení a doba obsluhy má exponenciální rozdělení. Za těchto předpokladů lze chování systému hromadné obsluhy popsat pomocí Markovových řetězců a je možné odvodit vlastnosti systému. V příspěvku jsou prezentovány teoretické přístupy pro několik typů systému a je také ukázáno, jak charakteristiky určit v situaci, kdy tyto předpoklady nejsou splněny.
English 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 satisfied.
Keywords in Czech
teorie hromadné obsluhy, Poissonův proces, markovské řetězce
Keywords in English
queueing theory, Poisson process, Markov chains
RIV year
2011
Released
01.01.2011
Publisher
WASET
Location
Thailand
ISSN
1307-6892
Volume
2011
Number
73
Pages from–to
713–719
Pages count
7
BIBTEX
@article{BUT88578,
author="Miloš {Šeda} and Pavel {Ošmera},
title="Systems with Queueing and Their Simulation",
year="2011",
volume="2011",
number="73",
month="January",
pages="713--719",
publisher="WASET",
address="Thailand",
issn="1307-6892"
}