IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v391y2012i15p4004-4011.html
   My bibliography  Save this article

Modeling cascading failures in complex networks based on radiate circle

Author

Listed:
  • Wang, Jian-Wei

Abstract

This article introduces a new approach for defining the initial load of a node in a network and investigate how to allocate the initial load so as to maximize the network robustness against cascading failures and minimize the protection cost. Motivated by the radiate circle of a node in a network, we define the initial load of node i in a network to be Li=(ki)α0(∑i1∈Γiki1)α1(∑i2∈Γi1ki2)α2…(∑in∈Γin−1kin)αn with ki and Γi being the degree of node i and the set of its neighboring nodes, respectively, where α0,α1,α2,…, and αn are tunable parameters, governing the strength of the node initial load, and generally n=12D, of which D represents the diameter of a network. According to the definition of the initial load of a node and the local preferential redistribution mechanism of the load of a failed node, we construct a cascading model. We then present exact analytical solutions for the critical threshold βc as a metric of the network robustness, where there should evidently exist some crossover behavior of the system from large scale breakdown to no breakdown. Surprisingly, both analytically and numerically, we find that, when α0+α1+α2+⋯+αn=1, all networks with no degree–degree correlation can reach the strongest robust level against cascading failures and the network robustness has a positive with the average degree of a network. Our findings highlight how to allocate the initial load and construct the network so as to obtain the strongest robustness.

Suggested Citation

  • Wang, Jian-Wei, 2012. "Modeling cascading failures in complex networks based on radiate circle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 4004-4011.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:15:p:4004-4011
    DOI: 10.1016/j.physa.2012.02.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112001227
    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/j.physa.2012.02.006?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wang, Yingcong & Xiao, Renbin, 2016. "An ant colony based resilience approach to cascading failures in cluster supply network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 150-166.
    2. Xia, Yongxiang & Wang, Cong & Shen, Hui-Liang & Song, Hainan, 2020. "Cascading failures in spatial complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    3. Peng, Xingzhao & Yao, Hong & Du, Jun & Wang, Zhe & Ding, Chao, 2015. "Invulnerability of scale-free network against critical node failures based on a renewed cascading failure model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 69-77.
    4. Wang, Jianwei & Cai, Lin & Xu, Bo & Li, Peng & Sun, Enhui & Zhu, Zhiguo, 2016. "Out of control: Fluctuation of cascading dynamics in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1231-1243.
    5. Jin, Wei-Xin & Song, Ping & Liu, Guo-Zhu & Stanley, H. Eugene, 2015. "The cascading vulnerability of the directed and weighted network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 302-325.

    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:391:y:2012:i:15:p:4004-4011. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.