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Optimization of network structure to random failures

Author

Listed:
  • Wang, Bing
  • Tang, Huanwen
  • Guo, Chonghui
  • Xiu, Zhilong
  • Zhou, Tao

Abstract

Network's resilience to the malfunction of its components has been of great concern. The goal of this work is to determine the network design guidelines, which maximizes the network efficiency while keeping the cost of the network (that is the average connectivity) constant. With a global optimization method, memory tabu search (MTS), we get the optimal network structure with the approximately best efficiency. We analyze the statistical characters of the network and find that a network with a small quantity of hub nodes, high degree of clustering may be much more resilient to perturbations than a random network and the optimal network is one kind of highly heterogeneous networks. The results strongly suggest that networks with higher efficiency are more robust to random failures. In addition, we propose a simple model to describe the statistical properties of the optimal network and investigate the synchronizability of this model.

Suggested Citation

  • Wang, Bing & Tang, Huanwen & Guo, Chonghui & Xiu, Zhilong & Zhou, Tao, 2006. "Optimization of network structure to random failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 607-614.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:607-614
    DOI: 10.1016/j.physa.2005.12.050
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    Citations

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    Cited by:

    1. Mishkovski, Igor & Righero, Marco & Biey, Mario & Kocarev, Ljupco, 2011. "Enhancing robustness and synchronizability of networks homogenizing their degree distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4610-4620.
    2. Liu, Honglu & Tian, Zhihong & Huang, Anqiang & Yang, Zaili, 2018. "Analysis of vulnerabilities in maritime supply chains," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 475-484.
    3. Guo, Shengmin & Wu, Ruoqian & Tong, Qingfeng & Zeng, Guanwen & Yang, Jian & Chen, Long & Zhu, Tongyu & Lv, Weifeng & Li, Daqing, 2018. "Is city traffic damaged by torrential rain?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 1073-1080.
    4. Sun, Shiwen & Li, Ruiqi & Wang, Li & Xia, Chengyi, 2015. "Reduced synchronizability of dynamical scale-free networks with onion-like topologies," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 249-256.
    5. Zhihong Tian & Zhenji Zhang & Ruize Gao, 2016. "Optimization in e-commerce market network based on value order parameter," Information Technology and Management, Springer, vol. 17(2), pages 187-197, June.
    6. Haifeng Du & Xiaochen He & Wei Du & Marcus W. Feldman, 2017. "Optimization of the Critical Diameter and Average Path Length of Social Networks," Complexity, Hindawi, vol. 2017, pages 1-11, March.
    7. Prasan Ratnayake & Sugandima Weragoda & Janaka Wansapura & Dharshana Kasthurirathna & Mahendra Piraveenan, 2021. "Quantifying the Robustness of Complex Networks with Heterogeneous Nodes," Mathematics, MDPI, vol. 9(21), pages 1-20, November.

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