| KINEMATIC WAVE PROPERTIES OF ANISOTROPIC DYNAMICS MODEL FOR TRAFFIC FLOW |
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| 引用本文： | 姜锐,吴清松,朱祚金. KINEMATIC WAVE PROPERTIES OF ANISOTROPIC DYNAMICS MODEL FOR TRAFFIC FLOW[J]. 应用数学和力学(英文版), 2002, 23(4): 409-414. DOI: 10.1007/BF02436209 |
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| 作者姓名： | 姜锐 吴清松 朱祚金 |
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| 作者单位： | JIANG Rui，WU Qing-song，ZHU Zuo-jin (Institute of Engineering Science，University of Science and Technology of China，Hefei 230026，P R China) (Communicated by DAI Shi-jiang) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 9872 0 62 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＲｅｃｅｎｔｌｙｔｈｅａｕｔｈｏｒｓｐｒｅｓｅｎｔｅｄａｎｅｗｄｙｎａｍｉｃｓｍｏｄｅｌｆｏｒｔｒａｆｆｉｃｆｌｏｗ[1].Ｔｈｅｍｏｄｅｌｃｏｍｐｒｉｓｅｓａｃｏｎｔｉｎｕｕｍｅｑｕａｔｉｏｎａｎｄａｄｙｎａｍｉｃｓｅｑｕａｔｉｏｎ ｋ/ ｔ+ (ｋｕ) / ｘ=0 ,( 1 ) ｕ ｔ+ｕ ｕ ｘ=ｕｅ(ｋ) -ｕＴ +ａ ｕ ｘ,( 2 )ｗｈｅｒｅｋｉｓｔｒａｆｆｉｃｄｅｎｓｉｔｙ ;ｕｉｓｍｅａｎｓｐｅｅｄ ;ｘ ,ｔａｒｅｓｐａｃｅａｎｄｔｉｍｅｃｏｏｒｄｉｎａｔｅｓｒｅｓｐｅｃｔｉｖｅｌｙ .Ｔｉｓｒｅｌ…
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| 收稿时间： | 2000-12-14 |
Kinematic wave properties of anisotropic dynamics model for traffic flow |
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| Jiang Rui Doctor,Wu Qing-song,Zhu Zuo-jin. Kinematic wave properties of anisotropic dynamics model for traffic flow[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(4): 409-414. DOI: 10.1007/BF02436209 |
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| Authors: | Jiang Rui Doctor Wu Qing-song Zhu Zuo-jin |
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| Affiliation: | Institute of Engineering Science, University of Science and Technology of China, Hefei 230026, P R China |
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| Abstract: | The analyses of kinematic wave properties of a new dynamics model for traffic flow are carried out. The model does not exhibit the problem that one characteristic speed is always greater than macroscopic traffic speed, and therefore satisfies the requirement that traffic flow is anisotropic. Linear stability analysis shows that the model is stable under certain condition and the condition is obtained. The analyses also indicate that the model has a hierarchy of first- and second-order waves, and allows the existence of both smooth traveling wave and shock wave. However, the model has a distinctive criterion of shock wave compared with other dynamics models, and the distinction makes the model more realistic in dealing with some traffic problems such as wrong-way travel analysis. |
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| Keywords: | traffic flow dynamics model kinematic wave property |
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