Macro modeling and analysis of traffic flow with road width

The macro modeling and the solution of traffic flow with road width were investigated. Firstly, a new macro model with the consideration of road width was proposed. Secondly, the effects of road width on uniform flow and small perturbation were studied. The analytical and numerical results show that widening (shrinking) road can enhance (reduce) the equilibrium speed and flow, and the increments (decrements) will increase with the absolute value of road width gradient. In addition, the numerical results illustrate that the new model can describe the effects of road width on the evolutions of uniform flow and small perturbation.

[1]  Haijun Huang,et al.  A new dynamic model for heterogeneous traffic flow , 2009 .

[2]  Harold J Payne,et al.  MODELS OF FREEWAY TRAFFIC AND CONTROL. , 1971 .

[3]  孙棣华,et al.  A new traffic model with the consideration of coupling effect with two lanes , 2009 .

[4]  Kerner,et al.  Cluster effect in initially homogeneous traffic flow. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  Wei Shen,et al.  Numerical Investigation of Stop-and-Go Traffic Patterns Upstream of Freeway Lane Drop , 2009 .

[6]  Dai Shi-qiang,et al.  Mathematical modeling, field calibration and numerical simulation of low-speed mixed traffic flow in cities , 1998 .

[7]  Sheng Jin,et al.  Non-lane-based full velocity difference car following model , 2010 .

[8]  Chih-Peng Chu,et al.  Analysis of the optimal length of road expansion - A case study of the Taipei metropolitan area , 2010 .

[9]  Hai-Jun Huang,et al.  A dynamic model for traffic network flow , 2008 .

[10]  Ping Yi,et al.  Continuum modelling of traffic dynamics for congested freeways , 1993 .

[11]  Arvind Kumar Gupta,et al.  A NEW MULTI-CLASS CONTINUUM MODEL FOR TRAFFIC FLOW , 2007 .

[12]  Jian-zhong Chen,et al.  A relaxation scheme for a multi-class Lighthill-Whitham-Richards traffic flow model , 2009 .

[13]  Ziyou Gao,et al.  Continuum modeling for two-lane traffic flow , 2006 .

[14]  Zhang Ying,et al.  A New Macro Model for Traffic Flow on a Highway with Ramps and Numerical Tests , 2009 .

[15]  George A. Bekey,et al.  Mathematical models of public systems , 1971 .

[16]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[17]  A. Schadschneider,et al.  Statistical physics of vehicular traffic and some related systems , 2000, cond-mat/0007053.

[18]  P. I. Richards.  Shock Waves on the Highway , 1956 .

[19]  S. Wong,et al.  Essence of conservation forms in the traveling wave solutions of higher-order traffic flow models. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Boris S. Kerner,et al.  Local cluster effect in different traffic flow models , 1998 .

[21]  Tom V. Mathew,et al.  Calibration of Microsimulation Models for Nonlane-Based Heterogeneous Traffic at Signalized Intersections , 2010 .

[22]  Hai-Jun Huang,et al.  A new macro model for traffic flow with the consideration of the driver's forecast effect , 2010 .

[23]  S. Wong,et al.  Characteristic Parameters of a Wide Cluster in a Higher-Order Traffic Flow Model , 2006 .

[24]  R. Jiang,et al.  A new continuum model for traffic flow and numerical tests , 2002 .

[25]  Zhongke Shi,et al.  Density Wave In A New Anisotropic Continuum Model For Traffic Flow , 2009 .

[26]  Ping Yi,et al.  DEVELOPMENT OF AN IMPROVED HIGH-ORDER CONTINUUM TRAFFIC FLOW MODEL , 1992 .

[27]  Xiangxiong Zhang,et al.  A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws , 2010, SIAM J. Numer. Anal..