Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

2015 International Conference on Modeling, Simulation and Applied Mathematics

📍Phuket, Thailand🗓️ 23-24 August 2015

Method for Automatic Construction of Queuing System Models

Authors
Eimutis Valakevicius, Tomas Lazauskas
Corresponding Author
Eimutis Valakevicius
Available Online August 2015.
DOI
10.2991/msam-15.2015.26How to use a DOI?
Keywords
queuing system; markov chain; numerical model; steady state probabilities
Abstract

In the paper is suggested a method for automatic creation of queuing system models. For description of a stochastic system we use the schematic structure of the system based on schematic structure of designed components. The performance of a system is described by Markov chains. A phase-type approximation is used for modelling non-Markovian systems. For calculation steady state probabilities of the system the method of embedded chains is applied. The suggested method and tool is presented through an example.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
Series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
10.2991/msam-15.2015.26How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Eimutis Valakevicius
AU  - Tomas Lazauskas
PY  - 2015/08
DA  - 2015/08
TI  - Method for Automatic Construction of Queuing System Models
BT  - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 115
EP  - 119
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.26
DO  - 10.2991/msam-15.2015.26
ID  - Valakevicius2015/08
ER  -