Model Predictive Traffic Control Based on a New Multi-Class METANET Model

Abstract Mutli-class traffic flow models account for the heterogeneous characteristics of traffic networks. This leads to higher accuracy when applying them for on-line model-based control. We propose a new multi-class METANET model. The proposed model is an extension of the single-class macroscopic traffic flow model METANET. In the new model, each vehicle class is subject to its own single-class fundamental diagram, and is limited within an assigned space. In this paper, model predictive control is used for on-line traffic control based on the newly proposed model. A case study is implemented for illustrating the efficiency of the new multi-class model. More specifically, the simulation results show that the new multi-class METANET model leads to a better performance than single-class METANET model.

[1]  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.

[2]  Markos Papageorgiou,et al.  Applications of Automatic Control Concepts to Traffic Flow Modeling and Control , 1983 .

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

[4]  Rinaldo M. Colombo,et al.  An $n$-populations model for traffic flow , 2003, European Journal of Applied Mathematics.

[5]  M J Lighthill,et al.  ON KINEMATIC WAVES.. , 1955 .

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

[7]  Markos Papageorgiou,et al.  SOME REMARKS ON MACROSCOPIC TRAFFIC FLOW MODELLING , 1998 .

[8]  Bart De Schutter,et al.  Model predictive control for optimal coordination of ramp metering and variable speed limits , 2005 .

[9]  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.

[10]  S. Sacone,et al.  Multiclass freeway traffic: Model Predictive Control and microscopic simulation , 2008, 2008 16th Mediterranean Conference on Control and Automation.

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

[12]  C. Buisson,et al.  Macroscopic Model and Its Numerical Solution for Two-Flow Mixed Traffic with Different Speeds and Lengths , 2003 .

[13]  Serge P. Hoogendoorn,et al.  Fastlane: New Multiclass First-Order Traffic Flow Model , 2008 .

[14]  Bart De Schutter,et al.  Model Predictive Control for Multi-Class Traffic Flows , 2009, CTS 2009.

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

[16]  Eduardo F. Camacho,et al.  Model predictive control in the process industry , 1995 .