A lattice traffic model with consideration of preceding mixture traffic information

doi:10.1088/1674-1056/20/8/088901

中国物理B ›› 2011, Vol. 20 ›› Issue (8): 88901-088901.doi: 10.1088/1674-1056/20/8/088901

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

A lattice traffic model with consideration of preceding mixture traffic information

李志鹏¹, 刘富强¹, 孙剑²

(1)School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China; (2)School of Transportation Engineering, Tongji University, Shanghai 200092, China

收稿日期:2010-09-24 修回日期:2011-03-15 出版日期:2011-08-15 发布日期:2011-08-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60904068, 10902076, 11072117, and 61004113).

A lattice traffic model with consideration of preceding mixture traffic information

Li Zhi-Peng(李志鹏)^a), Liu Fu-Qiang(刘富强)^a), Sun Jian(孙剑)^b)†

^a School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China; ^b School of Transportation Engineering, Tongji University, Shanghai 200092, China

Received:2010-09-24 Revised:2011-03-15 Online:2011-08-15 Published:2011-08-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60904068, 10902076, 11072117, and 61004113).

摘要/Abstract

摘要： In this paper, the lattice model is presented, incorporating not only site information about preceding cars but also relative currents in front. We derive the stability condition of the extended model by considering a small perturbation around the homogeneous flow solution and find that the improvement in the stability of traffic flow is obtained by taking into account preceding mixture traffic information. Direct simulations also confirm that the traffic jam can be suppressed efficiently by considering the relative currents ahead, just like incorporating site information in front. Moreover, from the nonlinear analysis of the extended models, the preceding mixture traffic information dependence of the propagating kink solutions for traffic jams is obtained by deriving the modified KdV equation near the critical point using the reductive perturbation method.

Abstract: In this paper, the lattice model is presented, incorporating not only site information about preceding cars but also relative currents in front. We derive the stability condition of the extended model by considering a small perturbation around the homogeneous flow solution and find that the improvement in the stability of traffic flow is obtained by taking into account preceding mixture traffic information. Direct simulations also confirm that the traffic jam can be suppressed efficiently by considering the relative currents ahead, just like incorporating site information in front. Moreover, from the nonlinear analysis of the extended models, the preceding mixture traffic information dependence of the propagating kink solutions for traffic jams is obtained by deriving the modified KdV equation near the critical point using the reductive perturbation method.

Key words: traffic flow, lattice model, mixture traffic information, numerical simulation

中图分类号: (Transportation)

89.40.-a

64.60.Cn (Order-disorder transformations) 02.60.Cb (Numerical simulation; solution of equations)

李志鹏, 刘富强, 孙剑. A lattice traffic model with consideration of preceding mixture traffic information[J]. 中国物理B, 2011, 20(8): 88901-088901.

Li Zhi-Peng(李志鹏), Liu Fu-Qiang(刘富强), Sun Jian(孙剑) . A lattice traffic model with consideration of preceding mixture traffic information[J]. Chin. Phys. B, 2011, 20(8): 88901-088901.

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A lattice traffic model with consideration of preceding mixture traffic information

A lattice traffic model with consideration of preceding mixture traffic information

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