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Modeling the Intermediate Node of Network Based on M/M/2/1 System Model in Anylogic Program

Received: Dec. 22, 2018    Accepted: Mar. 28, 2019    Published: Apr. 18, 2019
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Abstract

This paper deals with calculating, assessing and comparisons the M/M/2/1 system model as an intermediate node of telecommunication network. Furthermore, the imitation model modeled using AnyLogic program is also given and compared with mathematical results of the M/M/2/1 system. As well as, lots of node characteristics of the M/M/2/1 system are calculated and considered. Moreover, the options of AnyLogic program is shown clearly and also is given how to use the imitation method and programs efficiently in order to get the results more quickly and accurately.

DOI 10.11648/j.com.20190701.14
Published in Communications ( Volume 7, Issue 1, June 2019 )
Page(s) 25-30
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Queueing Theory, Utilization, Anylogic, Markovian Process

References
[1] Fundamentals of modeling discrete systems. T. I. Aliyev, St. Petersburg-2009.
[2] M. Guizani, A. Rayes Network Modeling and Simulation.- John Wiley & Sons Ltd, 2010.
[3] Michel C. Jeruchim Simulation of Communication Systems. – Nejw York, Kluwer Academic Publishers, 2002.
[4] K. Wehrle, M. Gunes Modeling and Tools for Network Simulation.- Springer-Verlog Berlin Heidelberg, 2010.
[5] Jan Beran. Statistics for long-memory processes, chapter 12. Monographs onstatistics and applied probability, No. 61. Chapman & Hall, New York, NY, USA, 1994.
[6] Brian D. Bunday, An Introduction to Queueing Theory- 1996.
[7] Brian D. Bunday, Basic Queueing Theory-1986.
[8] Kamilov M. M. Ergashev A. K. Mathematical modeling.- Tashkent, TUIT, 2007.- 176 p.
[9] Krylov V. V., Samokhvalova S. S. Teletraffic theory and its applications. - SPb.: BHV-Petersburg, 2005. - 288 p.
[10] Vegeshna Sh., "Quality of service in IP networks" // Vestnik Svyazi, No. 1, 2008, M.: Williams Publishing House, 2003.
[11] Zeliger N. B., Chugreev O. S., Yanovskiy G. G. Proektirovanie setey i sistem peradachi disretnyx soobshchenie. -M.: Radio i svyaz, 1984.2.
[12] Kleinrok L. Teoriya massovogo obslujivani: Perg. s Ingliz. - M.: Mashinostroenie, 1979.
[13] Krylov V. V., Samoxvalova S. S. Teoriya teletrafika i ieo prilojeniya.- SPb.: BXV-Peterburg, 2005. - 288 s.
[14] Stepanov S. N. Osnovy teletrafika multiservisnyx setey.- M.: Eco-Trends, 2010.- 392 s.
[15] Kudryavtsev E. M. GPSS World. Osnovni imitatsionnogo modirovaniya razlichnyx sistem. - M.: DKK, 2004.
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  • APA Style

    Azamat Qodirov, G’aniyev Alisher, Sherjanova Kamila. (2019). Modeling the Intermediate Node of Network Based on M/M/2/1 System Model in Anylogic Program. Communications, 7(1), 25-30. https://doi.org/10.11648/j.com.20190701.14

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    ACS Style

    Azamat Qodirov; G’aniyev Alisher; Sherjanova Kamila. Modeling the Intermediate Node of Network Based on M/M/2/1 System Model in Anylogic Program. Communications. 2019, 7(1), 25-30. doi: 10.11648/j.com.20190701.14

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    AMA Style

    Azamat Qodirov, G’aniyev Alisher, Sherjanova Kamila. Modeling the Intermediate Node of Network Based on M/M/2/1 System Model in Anylogic Program. Communications. 2019;7(1):25-30. doi: 10.11648/j.com.20190701.14

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  • @article{10.11648/j.com.20190701.14,
      author = {Azamat Qodirov and G’aniyev Alisher and Sherjanova Kamila},
      title = {Modeling the Intermediate Node of Network Based on M/M/2/1 System Model in Anylogic Program},
      journal = {Communications},
      volume = {7},
      number = {1},
      pages = {25-30},
      doi = {10.11648/j.com.20190701.14},
      url = {https://doi.org/10.11648/j.com.20190701.14},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.com.20190701.14},
      abstract = {This paper deals with calculating, assessing and comparisons the M/M/2/1 system model as an intermediate node of telecommunication network. Furthermore, the imitation model modeled using AnyLogic program is also given and compared with mathematical results of the M/M/2/1 system. As well as, lots of node characteristics of the M/M/2/1 system are calculated and considered. Moreover, the options of AnyLogic program is shown clearly and also is given how to use the imitation method and programs efficiently in order to get the results more quickly and accurately.},
     year = {2019}
    }
    

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    AB  - This paper deals with calculating, assessing and comparisons the M/M/2/1 system model as an intermediate node of telecommunication network. Furthermore, the imitation model modeled using AnyLogic program is also given and compared with mathematical results of the M/M/2/1 system. As well as, lots of node characteristics of the M/M/2/1 system are calculated and considered. Moreover, the options of AnyLogic program is shown clearly and also is given how to use the imitation method and programs efficiently in order to get the results more quickly and accurately.
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Author Information
  • Data Communication Networks and Systems, Telecommunication Faculty, Tashkent University of Information Technologies, Tashkent, Uzbekistan

  • Telecommunication Faculty, Tashkent University of Information Technologies, Tashkent, Uzbekistan

  • Telecommunication Faculty, Tashkent University of Information Technologies, Tashkent, Uzbekistan

  • Section