Multi anticipative bidirectional macroscopic traffic model considering cooperative driving strategy

ABSTRACT Recent development of information and communication technologies (ICT) has enabled vehicles to timely communicate with others through wireless technologies, which will form future (intelligent) traffic systems (ITS) consisting of so-called connected vehicles. Cooperative driving with the connected vehicles is regarded as a promising driving pattern to significantly improve transportation efficiency and traffic safety. In the vast literature of traffic flow theory, there are continuum models considering multiple forward anticipative strategy, where the driver reacts to many leaders. Few study effort has been undertaken to include bidirectional driving strategy, where the driver reacts to both direct leader and direct follower, in the continuum traffic flow models. This paper aims to derive a continuum traffic model considering both multiple forward and backward driving strategy. It is shown that the derived model is a generalised version of a current continuum model for ITS and can improve important properties of such bidirectional (continuum) model.

[1]  Bart van Arem,et al.  The Impact of Cooperative Adaptive Cruise Control on Traffic-Flow Characteristics , 2006, IEEE Transactions on Intelligent Transportation Systems.

[2]  Dirk Helbing,et al.  Enhanced intelligent driver model to access the impact of driving strategies on traffic capacity , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[3]  Dirk Helbing,et al.  General Lane-Changing Model MOBIL for Car-Following Models , 2007 .

[4]  Romain Billot,et al.  Linear and Weakly Nonlinear Stability Analyses of Cooperative Car-Following Models , 2014, IEEE Transactions on Intelligent Transportation Systems.

[5]  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.

[6]  D. Helbing,et al.  On the controversy around Daganzo’s requiem for and Aw-Rascle’s resurrection of second-order traffic flow models , 2008, 0805.3402.

[7]  René Boel,et al.  A compositional stochastic model for real time freeway traffic simulation , 2006 .

[8]  Dong Ngoduy,et al.  Linear stability of a generalized multi-anticipative car following model with time delays , 2015, Commun. Nonlinear Sci. Numer. Simul..

[9]  Dirk Helbing,et al.  Delays, inaccuracies and anticipation in microscopic traffic models , 2006 .

[10]  Serge P. Hoogendoorn,et al.  Properties of a Microscopic Heterogeneous Multi-Anticipative Traffic Flow Model , 2007 .

[11]  V. K. Katiyar,et al.  A new anisotropic continuum model for traffic flow , 2006 .

[12]  R. E. Wilson,et al.  Many-neighbour interaction and non-locality in traffic models , 2004 .

[13]  Serge P. Hoogendoorn,et al.  Empirics of Multianticipative Car-Following Behavior , 2006 .

[14]  Dong Ngoduy Application of gas-kinetic theory to modelling mixed traffic of manual and ACC vehicles , 2012 .

[15]  Martin Treiber,et al.  Traffic Flow Dynamics , 2013 .

[16]  Shannon R. Bowling,et al.  Towards reducing traffic congestion using cooperative adaptive cruise control on a freeway with a ramp , 2011 .

[17]  Ludovic Leclercq,et al.  Continuum Approximation for Congestion Dynamics Along Freeway Corridors , 2010, Transp. Sci..

[18]  Helbing,et al.  Congested traffic states in empirical observations and microscopic simulations , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  A. I. Bogdanova,et al.  Exploring peculiarities of traffic flows with a viscoelastic model , 2015 .

[20]  D. Helbing,et al.  DERIVATION, PROPERTIES, AND SIMULATION OF A GAS-KINETIC-BASED, NONLOCAL TRAFFIC MODEL , 1999, cond-mat/9901240.

[21]  Bin Ran,et al.  Bidirectional Control Characteristics of General Motors and Optimal Velocity Car-Following Models , 2013 .

[22]  K. Hasebe,et al.  Analysis of optimal velocity model with explicit delay , 1998, patt-sol/9805002.

[23]  Liang Zheng,et al.  Towards the bi-directional cellular automaton model with perception ranges , 2013 .

[24]  Romain Billot,et al.  The root locus method: application to linear stability analysis and design of cooperative car-following models , 2014 .

[25]  Akihiro Nakayama,et al.  Effect of looking at the car that follows in an optimal velocity model of traffic flow. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  S. Wong,et al.  A conserved higher-order anisotropic traffic flow model: Description of equilibrium and non-equilibrium flows , 2009 .

[27]  R. Jiang,et al.  Full velocity difference model for a car-following theory. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  E. Montroll,et al.  Traffic Dynamics: Studies in Car Following , 1958 .

[29]  Helai Huang,et al.  An anisotropic continuum model considering bi-directional information impact , 2015 .

[30]  S. Q. Dai,et al.  An extended car-following model based on intelligent transportation system application , 2006 .

[31]  V. K. Katiyar,et al.  Phase transition of traffic states with on-ramp , 2006 .

[32]  Liang Zheng,et al.  Analysis of honk effect on the traffic flow in a cellular automaton model , 2011 .

[33]  Jorge A. Laval,et al.  A parsimonious model for the formation of oscillations in car-following models , 2014 .

[34]  Dong Ngoduy,et al.  Instability of cooperative adaptive cruise control traffic flow: A macroscopic approach , 2013, Commun. Nonlinear Sci. Numer. Simul..

[35]  H. X. Ge,et al.  Effect of looking backward on traffic flow in a cooperative driving car following model , 2006 .

[36]  Akihiro Nakayama,et al.  Dynamical model of a cooperative driving system for freeway traffic. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  V. K. Katiyar,et al.  Analyses of shock waves and jams in traffic flow , 2005 .

[38]  Dirk Helbing,et al.  MASTER: macroscopic traffic simulation based on a gas-kinetic, non-local traffic model , 2001 .

[39]  Dong Ngoduy OPERATIONAL EFFECTS OF ACCELERATION LANE ON MAIN TRAFFIC FLOW AT DISCONTINUITIES , 2008 .

[40]  R. E. Wilson,et al.  Multianticipative Nonlocal Macroscopic Traffic Model , 2014, Comput. Aided Civ. Infrastructure Eng..

[41]  Dihua Sun,et al.  Effect of looking backward on traffic flow in an extended multiple car-following model , 2011 .

[42]  Dihua Sun,et al.  A New Extended Multiple Car-Following Model Considering the Backward-Looking Effect on Traffic Flow , 2013 .

[43]  Serge P. Hoogendoorn,et al.  Continuum Traffic Model for Freeway with On- and Off-Ramp to Explain Different Traffic-Congested States , 2006 .

[44]  S. P. Hoogendoorn,et al.  Multiclass continuum modelling of multilane traffic flow , 1999 .

[45]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[46]  H. J. Van Zuylen,et al.  Part 2: Car-Following Models: Continuum Traffic Model for Freeway with On- and Off-Ramp to Explain Different Traffic-Congested States , 2006 .

[47]  R. Sollacher,et al.  Multi-anticipative car-following model , 1999 .

[48]  Dong Ngoduy,et al.  Effect of driver behaviours on the formation and dissipation of traffic flow instabilities , 2012 .

[49]  Dong Ngoduy,et al.  Platoon-based macroscopic model for intelligent traffic flow , 2013 .

[50]  Martin Treiber,et al.  How Reaction Time, Update Time, and Adaptation Time Influence the Stability of Traffic Flow , 2008, Comput. Aided Civ. Infrastructure Eng..

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

[52]  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.

[53]  OFTHERMOFORMINGM. K. Warby,et al.  Numerical simulation , 1990 .