01-11 Models for traffic control ∗

Traffic models play an important role in both today’s traffic r esearch and in many traffic applications such as traffic flow prediction, incident detection a nd traffic control. In this paper we concentrate on motorway traffic models for traffic control. F irst, we discuss why traffic control is important for both practice and research. We also argue wh y a model-based approach to traffic control is used and how it is implemented in traffic applicati ons. Every traffic application requires specific features of the traffic model. After classifying the models based on these features, we look in detail at three macroscopic models since these model s ar best suited for implementation in traffic control systems. We conclude with an illustrative example that illustrates a model-based predictive control approach for ramp metering.

[1]  S. Proost,et al.  The welfare impacts of alternative policies to address atmospheric pollution in urban road transport , 2001 .

[2]  W. Vickrey.  PRICING IN URBAN AND SUBURBAN TRANSPORT , 1994 .

[3]  G. F. Newell.  A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks , 1993 .

[4]  Markos Papageorgiou,et al.  METANET: A MACROSCOPIC SIMULATION PROGRAM FOR MOTORWAY NETWORKS , 1990 .

[5]  Helbing.  Gas-kinetic derivation of Navier-Stokes-like traffic equations. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Adolf D. May,et al.  Traffic Flow Fundamentals , 1989 .

[7]  Bart De Schutter,et al.  ON DATA ACQUISITION, MODELING AND SIMULATION OF HIGHWAY TRAFFIC , 2001 .

[8]  Serge P. Hoogendoorn,et al.  State-of-the-art of vehicular traffic flow modelling , 2001 .

[9]  Bart De Schutter,et al.  DATA ACQUISITION, INTERFACING AND PRE-PROCESSING OF HIGHWAY TRAFFIC DATA , 2000 .

[10]  Petros A. Ioannou,et al.  Traffic flow modeling and control using artificial neural networks , 1996 .

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

[12]  Gordon F. Newell,et al.  A SIMPLIFIED THEORY OF KINEMATIC WAVES , 1991 .

[13]  Markos Papageorgiou,et al.  Modelling and real-time control of traffic flow on the southern part of Boulevard Peripherique in Paris: Part I: Modelling , 1990 .

[14]  Markos Papageorgiou,et al.  Dynamic modeling, assignment, and route guidance in traffic networks , 1990 .

[15]  Markos Papageorgiou,et al.  OPTIMAL COORDINATED AND INTEGRATED MOTORWAY NETWORK TRAFFIC CONTROL , 1999 .

[16]  Nagel.  Particle hopping models and traffic flow theory. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  F. Taheripour,et al.  Welfare Impacts of Alternative Public Policies for Agricultural Pollution Control in an Open Economy: A General Equilibrium Framework , 2008 .

[18]  J. Lebacque.  THE GODUNOV SCHEME AND WHAT IT MEANS FOR FIRST ORDER TRAFFIC FLOW MODELS , 1996 .

[19]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[20]  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.