Heterogeneous Traffic Flow Modelling Using Macroscopic Continuum Model

Abstract Modelling heterogeneous traffic flow for Asian countries is one of the emerging research areas in the past few years. The two main challenges in modelling are: capturing the effect of varying size of vehicles, and the lack in lane discipline, both of which together lead to the „capacity filling‟ behavior of vehicles. The same section length of the road can be occupied by different types of vehicles at the same time, and the conventional measure of traffic concentration, density (vehicles per lane per unit length), is not a good measure for heterogeneous traffic modelling. This paper addresses the above mentioned two challenges by extending the Aw-Rascle macroscopic model based on continuum theory using area occupancy for traffic concentration instead of density. The aim of the model is to have a parsimonious model of heterogeneous traffic for network wide applications that can capture unique phenomena in heterogeneous traffic flow such as capacity filling. The paper calibrates and validates the model using data from an arterial road in Chennai city.

[1]  Rui Jiang,et al.  Extended Speed Gradient Model for Mixed Traffic , 2004 .

[2]  Gitakrishnan Ramadurai,et al.  State-of-the art of macroscopic traffic flow modelling , 2013, International Journal of Advances in Engineering Sciences and Applied Mathematics.

[3]  V. Thamizh Arasan,et al.  Measuring Heterogeneous Traffic Density , 2008 .

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

[5]  H. M. Zhang A NON-EQUILIBRIUM TRAFFIC MODEL DEVOID OF GAS-LIKE BEHAVIOR , 2002 .

[6]  C. Mallikarjuna,et al.  AREA OCCUPANCY CHARACTERISTICS OF HETEROGENEOUS TRAFFIC , 2006 .

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

[8]  Harold J Payne,et al.  FREFLO: A MACROSCOPIC SIMULATION MODEL OF FREEWAY TRAFFIC , 1979 .

[9]  H. Haj-Salem,et al.  The Aw-Rascle and Zhang's model: Vacuum problems, existence and regularity of the solutions of the Riemann problem , 2007 .

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

[11]  Michel Rascle,et al.  Resurrection of "Second Order" Models of Traffic Flow , 2000, SIAM J. Appl. Math..

[12]  Shing Chung Josh Wong,et al.  A multi-class traffic flow model: an extension of LWR model with heterogeneous drivers , 2002 .

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

[14]  C. Daganzo Requiem for second-order fluid approximations of traffic flow , 1995 .

[15]  M. Maher,et al.  Calibration of second order traffic models using continuous cross entropy method , 2012 .

[16]  J. M. D. Castillo,et al.  On the functional form of the speed-density relationship—I: General theory , 1995 .

[17]  H. M. Zhang A theory of nonequilibrium traffic flow , 1998 .