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Properties of volume–capacity ratio in congested complex networks

Author

Listed:
  • Zhu, Zhi-Hong
  • Zheng, Jian-Feng
  • Gao, Zi-You
  • Du, Hao-Ming

Abstract

The volume–capacity ratio (v/c) is one of the most important indexes to measure the congestion of a traffic network. If v/c is very small, the traffic demand is deficient and/or the transportation supply or capacity is surplus, leading to a waste of capacity; on the contrary, a large value of v/c means that the traffic network is seriously congested. This paper investigates the properties of v/c in complex small-world and scale-free networks by introducing the congestion effects, described by link cost functions. The relationship between v/c and the degree of the node is mainly discussed. Finally, a simple strategy is presented to balance the tradeoff between traffic congestion and a waste of capacity.

Suggested Citation

  • Zhu, Zhi-Hong & Zheng, Jian-Feng & Gao, Zi-You & Du, Hao-Ming, 2014. "Properties of volume–capacity ratio in congested complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 200-206.
  • Handle: RePEc:eee:phsmap:v:400:y:2014:i:c:p:200-206
    DOI: 10.1016/j.physa.2014.01.008
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    Citations

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    Cited by:

    1. Navid Nadimi & Rosalia Camporeale & Mostafa Khaleghi & Mohamadreza Haghani & Abbas Sheykhfard & Khaled Shaaban, 2023. "A Method to Determine an Equity Score for Transportation Systems in the Cities," Sustainability, MDPI, vol. 15(7), pages 1-22, March.
    2. Fujino, Toru & Chen, Yu, 2020. "Effects of network structure on the performance of a modeled traffic network under drivers’ bounded rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    3. Jing, Weiwei & Xu, Xiangdong & Pu, Yichao, 2020. "Route redundancy-based approach to identify the critical stations in metro networks: A mean-excess probability measure," Reliability Engineering and System Safety, Elsevier, vol. 204(C).

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