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Maximum transport capacity of a network

Author

Listed:
  • Liu, Gang
  • Li, Yongshu
  • Guo, Jiawei
  • Li, Zheng

Abstract

The transport capacity of a network can be enhanced and the congestion can be controlled by improving routing algorithms. Its upper limit is, however, unknown in detail. This study shows that any connected network has a maximum transport capacity largely depending on the topological and structural properties of the network. Network transport capacity is limited and cannot be greater than the ratio of the sum of all the capacities of the nodes to the average path length of the network, regardless of the adopted routing algorithm. When the capacity of all nodes is equal to 1, the maximum transport capacity of the network is not greater than the ratio of the network size to the average path length. The results demonstrate that the maximum transport capacity of a network, which is the essential characteristic of the network, is mainly determined by the topological structure of the network and is independent of the routing strategies.

Suggested Citation

  • Liu, Gang & Li, Yongshu & Guo, Jiawei & Li, Zheng, 2015. "Maximum transport capacity of a network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 315-320.
    • Handle: RePEc:eee:phsmap:v:432:y:2015:i:c:p:315-320
    DOI: 10.1016/j.physa.2015.03.039
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    Cited by:

    1. Park, Alex & Lappas, Petros, 2017. "Evaluating demand charge reduction for commercial-scale solar PV coupled with battery storage," Renewable Energy, Elsevier, vol. 108(C), pages 523-532.
    2. Liu, Gang & He, Jing & Luo, Zhiyong & Yao, Xiaobai & Fan, Qinjin, 2024. "Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    3. Adami, Vivian Sebben & Antunes Júnior, José Antônio Valle & Sellitto, Miguel Afonso, 2017. "Regional industrial policy in the wind energy sector: The case of the State of Rio Grande do Sul, Brazil," Energy Policy, Elsevier, vol. 111(C), pages 18-27.
    4. Mohammadi, Mehrdad & Jula, Payman & Tavakkoli-Moghaddam, Reza, 2019. "Reliable single-allocation hub location problem with disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 123(C), pages 90-120.

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