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Exact Solution of the Gyration Radius of an Individual's Trajectory for a Simplified Human Regular Mobility Model |
| YAN Xiao-Yong1,2, HAN Xiao-Pu2, ZHOU Tao2,3, WANG Bing-Hong2**
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1Department of Transportation Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043
2Department of Modern Physics, University of Science and Technology of China, Hefei 230026
3Web Sciences Center, University of Electronic Science and Technology of China, Chengdu 610054 |
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| Cite this article: |
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YAN Xiao-Yong, HAN Xiao-Pu, ZHOU Tao et al 2011 Chin. Phys. Lett. 28 120506 |
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Abstract We propose a simplified human regular mobility model to simulate an individual's daily travel with three sequential activities: commuting to workplace, going to do leisure activities and returning home. With the assumption that the individual has a constant travel speed and inferior limit of time at home and in work, we prove that the daily moving area of an individual is an ellipse, and finally obtain an exact solution of the gyration radius. The analytical solution captures the empirical observation well.
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05.40.Fb
89.40.Bb
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Received: 16 February 2011
Published: 29 November 2011
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