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

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
10.2991/msam-15.2015.26
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  -