IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v328y2003i3p341-350.html
   My bibliography  Save this article

Phase transition and 1/f noise in a computer network model

Author

Listed:
  • Liu, Feng
  • Shan, Xiuming
  • Ren, Yong
  • Zhang, Jun

Abstract

Using a simple cellular automaton model of data packets transport in the Internet, the travel times of data packets and transport rates of routers along a fixed path are studied. In this model the additive increasing of transport rates, extraneous random interferences and finite capacity of router are considered. Changing the mean injecting rate of data packets, numerical simulation results show that there exists free flow and congested phase characterized by the different power spectrum of the travel times and the transport rates. While the power spectrum of both the travel times and the transport rates show 1/f noise (power law) in the free flow, the power spectrum of the travel times is approximately characterized by 1/f noise at low frequencies and white noise at high frequencies, and that of transport rates of routers only by white noise in the congested phase. These results are in agreement with previous experimental data.

Suggested Citation

  • Liu, Feng & Shan, Xiuming & Ren, Yong & Zhang, Jun, 2003. "Phase transition and 1/f noise in a computer network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 341-350.
    • Handle: RePEc:eee:phsmap:v:328:y:2003:i:3:p:341-350
    DOI: 10.1016/S0378-4371(03)00614-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437103006149
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(03)00614-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tretyakov, A.Yu. & Takayasu, H. & Takayasu, M., 1998. "Phase transition in a computer network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 253(1), pages 315-322.
    2. Solé, Ricard V. & Valverde, Sergi, 2001. "Information transfer and phase transitions in a model of internet traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 595-605.
    3. Bernardo A. Huberman & Lada A. Adamic, 1999. "Growth dynamics of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 131-131, September.
    4. Huisinga, Torsten & Barlovic, Robert & Knospe, Wolfgang & Schadschneider, Andreas & Schreckenberg, Michael, 2001. "A microscopic model for packet transport in the Internet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(1), pages 249-256.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Li, Ming, 2017. "Record length requirement of long-range dependent teletraffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 164-187.
    2. Xia, Yongxiang & Tse, Chi K. & Lau, Francis C.M. & Man Tam, Wai & Small, Michael, 2006. "Analysis of telephone network traffic based on a complex user network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 583-594.
    3. Li, Xinna & Wu, Huaiqin & Cao, Jinde, 2023. "Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 647-668.
    4. Sodam Baek & Kibae Kim & Jorn Altmann, 2014. "Role of Platform Providers in Service Networks: The Case of Salesforce.com AppExchange," TEMEP Discussion Papers 2014112, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised May 2014.
    5. Zhang, Wanli & Yang, Xinsong & Yang, Shiju & Alsaedi, Ahmed, 2021. "Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 319-329.
    6. Andrea Bonaccorsi & Maurizio Martinelli & Cristina Rossi & Irma Serrecchia, 2002. "Measuring and modelling Internet diffusion using second level domains: the case of Italy," LEM Papers Series 2002/17, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    7. Zhu, Sha & Bao, Haibo & Cao, Jinde, 2022. "Bipartite synchronization of coupled delayed neural networks with cooperative-competitive interaction via event-triggered control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    8. Stipic, Dorian & Bradac, Mislav & Lipic, Tomislav & Podobnik, Boris, 2021. "Effects of quarantine disobedience and mobility restrictions on COVID-19 pandemic waves in dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    9. Wang, Junjie & Zhou, Shuigeng & Guan, Jihong, 2011. "Characteristics of real futures trading networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 398-409.
    10. Chen, Qinghua & Chen, Shenghui, 2007. "A highly clustered scale-free network evolved by random walking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 773-781.
    11. Zhou, Ya & Wan, Xiaoxiao & Huang, Chuangxia & Yang, Xinsong, 2020. "Finite-time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    12. Liu, Chen & Wang, Jiang & Yu, Haitao & Deng, Bin & Wei, Xile & Sun, Jianbing & Chen, Yingyuan, 2013. "The effects of time delay on the synchronization transitions in a modular neuronal network with hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 47(C), pages 54-65.
    13. Madeleine Akrich, 2012. "Les listes de discussion comme communautés en ligne : outils de description et méthodes d’analyse," CSI Working Papers Series 025, Centre de Sociologie de l'Innovation (CSI), Mines ParisTech.
    14. Gulich, Damián & Baglietto, Gabriel & Rozenfeld, Alejandro F., 2018. "Temporal correlations in the Vicsek model with vectorial noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 590-604.
    15. Ikeda, N., 2007. "Network formed by traces of random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 701-713.
    16. Li, Hong-Li & Hu, Cheng & Jiang, Yao-Lin & Wang, Zuolei & Teng, Zhidong, 2016. "Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 142-149.
    17. Laurie A. Schintler & Aura Reggiani & Rajendra Kulkarni & Peter Nijkamp, 2003. "Scale-Free Phenomena in Communication Networks: A Cross-Atlantic Comparison," ERSA conference papers ersa03p436, European Regional Science Association.
    18. Chrysanthos Dellarocas & Zsolt Katona & William Rand, 2013. "Media, Aggregators, and the Link Economy: Strategic Hyperlink Formation in Content Networks," Management Science, INFORMS, vol. 59(10), pages 2360-2379, October.
    19. David L. Alderson, 2008. "OR FORUM---Catching the “Network Science” Bug: Insight and Opportunity for the Operations Researcher," Operations Research, INFORMS, vol. 56(5), pages 1047-1065, October.
    20. Dorogovtsev, S.N. & Mendes, J.F.F. & Oliveira, J.G., 2006. "Frequency of occurrence of numbers in the World Wide Web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 548-556.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:328:y:2003:i:3:p:341-350. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.