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Upper bound of network capacity and a static optimal packet routing strategy

Author

Listed:
  • Kai, Cai Hong
  • Long, Jiancheng
  • Ling, Xiang
  • Hu, Mao-Bin

Abstract

In this paper, we propose a max-flow-min-cost (MFMC) problem to obtain the upper bound of network capacity and develop an efficient packet routing strategy. The MFMC problem is formulated as two linear programs (LP). The optimal solutions of the two LPs are the upper bound of network capacity (i.e., maximum network flow rate) and an optimal packet flow pattern with minimum total free flow travel time under the maximum network flow rate, respectively. We also develop a static optimal routing strategy (SORS), which proportionally deliver packets along the path according to the optimal packet flow pattern. Simulation results indicate that the proposed SORS outperforms existing routing strategies in terms of both network capacity and traffic efficiency. Furthermore, the network capacity achieved by the SORS is very close to its upper bound.

Suggested Citation

  • Kai, Cai Hong & Long, Jiancheng & Ling, Xiang & Hu, Mao-Bin, 2014. "Upper bound of network capacity and a static optimal packet routing strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 174-181.
    • Handle: RePEc:eee:phsmap:v:401:y:2014:i:c:p:174-181
    DOI: 10.1016/j.physa.2014.01.045
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    Cited by:

    1. Huang, Jian & Hu, Mao-Bin & Jiang, Rui & Li, Ming, 2018. "Effect of pre-signals in a Manhattan-like urban traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 71-85.

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