| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Optimal Capacity Allocation on Heterogeneous Complex Transport Networks |
| LIU Wei-Kai1,2, GUAN Zhi-Hong1, LIAO Rui-Quan3 |
1Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074
2School of Science, Wuhan Institute of Technology, Wuhan 430073
3Petroleum Engineering College, Yangtze University, Jingzhou 420400
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| Cite this article: |
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LIU Wei-Kai, GUAN Zhi-Hong, LIAO Rui-Quan 2010 Chin. Phys. Lett. 27 108902 |
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Abstract We study how the node delivering capacity is allocated so that the traffic transport efficiency can be enhanced maximally. Network heterogeneity of degree distribution and processing delay of the traffic are considered. An explicit analytical solution is provided, which is based on the M/M/1 queueing theory and optimization principle, provided that the network structure and routing strategy are given. In particular, we extend the relevant conclusions in the literature [Eurphys. Lett. 83 (2008) 28001]. Finally, an order parameter simulation example by comparing results with those obtained via simple capacity allocation in large Barabasi-Albert (BA) scale-free network is provided to illustrate the effectiveness of the theoretical results
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| Keywords:
89.75.Hc
89.75.-k
89.40.-a
05.06.-k
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Received: 10 March 2010
Published: 26 September 2010
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