IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v37y2008i4p977-987.html
   My bibliography  Save this article

Comparative study of stability in different TCP/RED models

Author

Listed:
  • Nga, J.H.C.
  • Iu, H.H.C.
  • Ling, S.H.
  • Lam, H.K.

Abstract

This paper studies the stability issue of the average queue length of a Transmission Control Protocol (TCP) model when interacting with Random Early Detection (RED). The model used for the study has shown period doubling bifurcation (PDB) and border collision bifurcation (BCB) in the average queue size at certain values of parameters when original RED is deployed. In this paper, we adopt a gentle version of RED and a newly derived RED algorithm into the model to study the improvement in stability of average queue size of the system.

Suggested Citation

  • Nga, J.H.C. & Iu, H.H.C. & Ling, S.H. & Lam, H.K., 2008. "Comparative study of stability in different TCP/RED models," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 977-987.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:4:p:977-987
    DOI: 10.1016/j.chaos.2008.01.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908000076
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2008.01.013?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. Liu, Cheng-Lin & Tian, Yu-Ping, 2008. "Eliminating oscillations in the Internet by time-delayed feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 878-887.
    2. Wang, Zhanfeng & Chu, Tianguang, 2006. "Delay induced Hopf bifurcation in a simplified network congestion control model," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 161-172.
    3. Yang, Hong-Yong & Tian, Yu-Ping, 2005. "Hopf bifurcation in REM algorithm with communication delay," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1093-1105.
    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. Chen, Chang-Kuo & Liao, Teh-Lu & Yan, Jun-Juh, 2009. "Active queue management controller design for TCP communication networks: Variable structure control approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 277-285.
    2. Lu, Qiu & Xiao, Min & Tao, Binbin & Huang, Chengdai & Shi, Shuo & Wang, Zhengxin & Jiang, Guoping, 2019. "Complex dynamic behaviors of a congestion control system under a novel PD1n control law: Stability, bifurcation and periodic oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 242-252.
    3. Niu, Ben & Wei, Junjie, 2008. "Stability and bifurcation analysis in an amplitude equation with delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1362-1371.
    4. Hu, H.Y. & Wang, Z.H., 2009. "Singular perturbation methods for nonlinear dynamic systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 13-27.
    5. Sun, Chengjun & Lin, Yiping & Han, Maoan & Tang, Shoupeng, 2007. "Analysis for a special first order characteristic equation with delay dependent parameters," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 388-395.
    6. Sun, Chengjun & Cao, Zhijie & Lin, Yiping, 2007. "Analysis of stability and Hopf bifurcation for a viral infectious model with delay," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 234-245.
    7. Zhang, Tailei & Liu, Junli & Teng, Zhidong, 2009. "Bifurcation analysis of a delayed SIS epidemic model with stage structure," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 563-576.
    8. Sun, Chengjun & Lin, Yiping & Han, Maoan, 2006. "Stability and Hopf bifurcation for an epidemic disease model with delay," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 204-216.
    9. Wang, Xia & Tao, Youde & Song, Xinyu, 2009. "Stability and Hopf bifurcation on a model for HIV infection of CD4+ T cells with delay," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1838-1844.
    10. Liu, Junli & Zhang, Tailei, 2009. "Bifurcation analysis of an SIS epidemic model with nonlinear birth rate," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1091-1099.
    11. Chen, Yuanyuan & Yu, Jiang & Sun, Chengjun, 2007. "Stability and Hopf bifurcation analysis in a three-level food chain system with delay," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 683-694.
    12. Bigdeli, Nooshin & Haeri, Mohammad, 2009. "Time-series analysis of TCP/RED computer networks, an empirical study," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 784-800.
    13. Zhu, Wenli & Yi, Zhang, 2007. "Integral input-to-state stability of nonlinear control systems with delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 420-427.
    14. Huang, Chuangxia & Huang, Lihong & Feng, Jianfeng & Nai, Mingyong & He, Yigang, 2007. "Hopf bifurcation analysis for a two-neuron network with four delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 795-812.
    15. Liu, Cheng-Lin & Tian, Yu-Ping, 2008. "Eliminating oscillations in the Internet by time-delayed feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 878-887.
    16. Iñarrea, Manuel, 2009. "Chaos and its control in the pitch motion of an asymmetric magnetic spacecraft in polar elliptic orbit," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1637-1652.
    17. Ge, Zheng-Ming & Zhang, An-Ray, 2007. "Chaos in a modified van der Pol system and in its fractional order systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1791-1822.

    More about this item

    Statistics

    Access and download statistics

    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:chsofr:v:37:y:2008:i:4:p:977-987. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.