Control of spatiotemporal congested traffic patterns at highway bottlenecks

The physics of congested traffic pattern formation at an on-ramp bottleneck under on-ramp metering is studied. Various congested pattern nucleation effects at the bottleneck under different control rules are found. Based on the author's three-phase traffic theory, a congested pattern feedback on-ramp inflow control approach is proposed and investigated. In this congested pattern control approach (ANCONA approach for short), congestion at an on-ramp bottleneck is allowed to set in. The basis idea of the ANCONA approach is to keep congestion conditions at the minimum possible level at the bottleneck. In particular, the congested pattern should not propagate upstream, i.e., the congested pattern should be localized on the main road in a small neighborhood of the bottleneck. It is used in the ANCONA approach that in accordance with empirical congested pattern features, congested patterns are of various types some more favorable than others in terms of the discharge volume from the congested pattern and of the vehicle delay time due to congestion. Based on a microscopic traffic flow model of Kerner and Klenov in the context of three-phase traffic theory, a comparison of the ANCONA approach with a well-known free flow control approach in which free flow is maintained at the bottleneck is made. In particular, a ramp metering ALINEA method based on the free flow control approach that is used in many real installations is studied and compared with the ANCONA approach. Benefits of the ANCONA approach are (i) higher throughputs on the main road downstream of the bottleneck, (ii) considerably lower vehicle waiting times at the light signal on the on-ramp, (ii) the upstream propagation of congestion does not occur even if large amplitude perturbations appear in traffic flow.

[1]  Michael Schreckenberg,et al.  Mechanical restriction versus human overreaction triggering congested traffic states. , 2004, Physical review letters.

[2]  Michael Schreckenberg,et al.  Workshop on Traffic and Granular Flow '97 : Gerhard-Mercato-Universität Duisburg, Germany, 6-8 October 1997 , 1998 .

[3]  A. Schadschneider,et al.  Statistical physics of vehicular traffic and some related systems , 2000, cond-mat/0007053.

[4]  D. S. Berry,et al.  PEAK-PERIOD CONTROL OF A FREEWAY SYSTEM-SOME THEORETICAL INVESTIGATIONS , 1965 .

[5]  Boris S. Kerner THEORY OF CONGESTED HIGHWAY TRAFFIC: EMPIRICAL FEATURES AND METHODS OF TRACING AND PREDICTION , 2002 .

[6]  Boris S Kerner,et al.  Microscopic theory of spatial-temporal congested traffic patterns at highway bottlenecks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Frank A. Haight,et al.  Mathematical Theories of Traffic Flow , 2012 .

[8]  B. Kerner THE PHYSICS OF TRAFFIC , 1999 .

[9]  L C Davis,et al.  Multilane simulations of traffic phases. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  James Robinson,et al.  RAMP METERING STATUS IN NORTH AMERICA. , 1989 .

[11]  David M. Auslander,et al.  FREEWAY RAMP CONTROL USING FUZZY SET THEORY FOR INEXACT REASONING , 1990 .

[12]  B. Kerner,et al.  A microscopic model for phase transitions in traffic flow , 2002 .

[13]  Michael Schreckenberg,et al.  Two lane traffic simulations using cellular automata , 1995, cond-mat/9512119.

[14]  B S Kerner THEORY OF CONGESTED TRAFFIC FLOW: SELF-ORGANIZATION WITHOUT BOTTLENECKS , 1999 .

[15]  S. M. Holzer,et al.  Book Reviews : SYSTEM DYNAMICS Katsuhiko Ogata Prentice-Hall, Inc., Englewood Cliffs, NJ, 1978 , 1980 .

[16]  Michael Zhang,et al.  Evaluation of On-ramp Control Algorithms , 2001 .

[17]  Michael Schreckenberg,et al.  Workshop on Traffic and Granular Flow : HLRZ Forschungszentrum Jülich (KFA), Germany, October 9-11, 1995 , 1996 .

[18]  Kerner,et al.  Experimental properties of complexity in traffic flow. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Klaus Bogenberger,et al.  An evolutionary fuzzy system for coordinated and traffic responsive ramp metering , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[20]  Dietrich E. Wolf,et al.  Cellular automata for traffic simulations , 1999 .

[21]  Boris S. Kerner,et al.  Synchronized flow as a new traffic phase and related problems for traffic flow modelling , 2002 .

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

[23]  Klaus Bogenberger,et al.  Advanced Coordinated Traffic Responsive Ramp Metering Strategies , 1999 .

[24]  Boris S. Kerner,et al.  Three-Phase Traffic Theory , 2003 .

[25]  Boris S. Kerner,et al.  Complexity of Synchronized Flow and Related Problems for Basic Assumptions of Traffic Flow Theories , 2001 .

[26]  M Schofield Speed, flow and capacity on the M6 motorway , 1986 .

[27]  Vincenzo Capasso,et al.  Progress in industrial mathematics at ECMI 2000 , 2002 .

[28]  P. Wagner,et al.  Metastable states in a microscopic model of traffic flow , 1997 .

[29]  Kai Nagel,et al.  Still Flowing: Approaches to Traffic Flow and Traffic Jam Modeling , 2003, Oper. Res..

[30]  P. G. Gipps,et al.  A behavioural car-following model for computer simulation , 1981 .

[31]  B. Kerner Congested Traffic Flow: Observations and Theory , 1999 .

[32]  B. Kerner EXPERIMENTAL FEATURES OF SELF-ORGANIZATION IN TRAFFIC FLOW , 1998 .

[33]  Boris S. Kerner,et al.  Phase Transitions in Traffic Flow , 2000 .

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

[35]  B. Kerner Experimental features of the emergence of moving jams in free traffic flow , 2000 .

[36]  Avishai Ceder Transportation and Traffic Theory , 1999 .

[37]  Stephen G. Ritchie,et al.  FREEWAY RAMP METERING USING ARTIFICIAL NEURAL NETWORKS , 1997 .

[38]  Markos Papageorgiou,et al.  A LOW COST TOOL FOR FREEWAY RAMP METERING , 1995 .

[39]  Liping Fu,et al.  Real-Time Estimation of Incident Delay in Dynamic and Stochastic Networks , 1997 .

[40]  T. Nagatani The physics of traffic jams , 2002 .

[41]  D. Wolf,et al.  Traffic and Granular Flow ’03 , 2005 .

[42]  Boris S. Kerner,et al.  Theory of Breakdown Phenomenon at Highway Bottlenecks , 2000 .

[43]  R. Jiang,et al.  Spatial–temporal patterns at an isolated on-ramp in a new cellular automata model based on three-phase traffic theory , 2004 .

[44]  Boris S. Kerner,et al.  Cellular automata approach to three-phase traffic theory , 2002, cond-mat/0206370.

[45]  Boris S. Kerner Three-phase traffic theory and highway capacity , 2002 .

[46]  B. Kerner Empirical macroscopic features of spatial-temporal traffic patterns at highway bottlenecks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[47]  D. Wolf,et al.  Traffic and Granular Flow , 1996 .

[48]  Kai Nagel,et al.  Two-lane traffic rules for cellular automata: A systematic approach , 1997, cond-mat/9712196.

[49]  D. Helbing Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.