Capacity Funnel Explained Using the Human-Kinetic Traffic Flow Model

We present a macroscopic traffic flow model that explicitly builds on continuous individual driving behaviour. Not only do we start from classical car-following rules (like the kind that are used in microscopic simulators), the model also explicitly accounts for the finite reaction times of drivers, anticipation behaviour, anisotropy in driver responses and the finite space requirement of drivers in the stream. Moreover we allow variations in driver psychology, which lets drivers adopt different ‘driving styles’ dependent on traffic conditions, like the presence of a merging zone.

[1]  H. M. Zhang A mathematical theory of traffic hysteresis , 1999 .

[2]  Robert Herman,et al.  Kinetic theory of vehicular traffic , 1971 .

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

[4]  P. Nelson,et al.  A NOVEL TRAFFIC STREAM MODEL DERIVING FROM A BIMODAL KINETIC EQUILIBRIUM , 1997 .

[5]  Dirk Helbing,et al.  Macroscopic Simulation of Open Systems and Micro-Macro Link , 2000 .

[6]  R D Kuehne,et al.  MACROSCOPIC FREEWAY MODEL FOR DENSE TRAFFIC - STOP-START WAVES AND INCIDENT DETECTION , 1984 .

[7]  B. van Arem,et al.  Gas-Kinetic Traffic Flow Modeling Including Continuous Driver Behavior Models , 2002 .

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

[9]  D J Buckley,et al.  CAPACITY FUNNELS NEAR ON-RAMPS , 1974 .

[10]  H. M. Zhang Driver memory, traffic viscosity and a viscous vehicular traffic flow model , 2003 .

[11]  Gordon F. Newell,et al.  INSTABILITY IN DENSE HIGHWAY TRAFFIC: A REVIEW. , 1965 .

[12]  D. Helbing,et al.  VERKEHRSDYNAMIK. NEUE PHYSIKALISCHE MODELLIERUNGSKONZEPTE , 1997 .

[13]  Robert L. Bertini,et al.  OBSERVATIONS AT A FREEWAY BOTTLENECK , 1999 .

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

[15]  Axel Klar,et al.  A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling , 1998, SIAM J. Appl. Math..

[16]  P. Nelson A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions , 1995 .

[17]  Anastasios S. Lyrintzis,et al.  Improved High-Order Model for Freeway Traffic Flow , 1998 .

[18]  Carlos F. Daganzo,et al.  A BEHAVIORAL THEORY OF MULTI-LANE TRAFFIC FLOW. PART I, LONG HOMOGENEOUS FREEWAY SECTIONS , 1999 .

[19]  Carlos F. Daganzo,et al.  A BEHAVIORAL THEORY OF MULTI-LANE TRAFFIC FLOW. PART II, MERGES AND THE ONSET OF CONGESTION , 1999 .

[20]  E. Boer Car following from the driver’s perspective , 1999 .

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