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**
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
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**
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
摘要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.
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.
YAN Xiao-Yong;HAN Xiao-Pu;ZHOU Tao;WANG Bing-Hong**
. Exact Solution of the Gyration Radius of an Individual's Trajectory for a Simplified Human Regular Mobility Model[J]. 中国物理快报, 2011, 28(12): 120506-120506.
YAN Xiao-Yong, HAN Xiao-Pu, ZHOU Tao, WANG Bing-Hong**
. Exact Solution of the Gyration Radius of an Individual's Trajectory for a Simplified Human Regular Mobility Model. Chin. Phys. Lett., 2011, 28(12): 120506-120506.
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