Fundamental Diagrams of Commercial Adaptive Cruise Control: Worldwide Experimental Evidence

Recently, several experiments on commercial adaptive cruise control (ACC) vehicles have been conducted worldwide, providing an unprecedented opportunity to study the ACC behaviors. This paper has conducted a comprehensive empirical study on the ACC equilibrium behaviors using all available data to date and obtained the ACC fundamental diagrams. We find that ACC systems display a linear speed-spacing relationship, like human-driven vehicles, but the features of the speed-spacing relationships and the corresponding fundamental diagrams differ from human-driven traffic. ACC generally has very small spacing at minimum headway, resulting in much larger flow (and capacity) than human traffic, but the opposite occurs if maximum headway is used. Many ACC systems have extremely large wave speed, which may impose safety risk. Lastly, ACC jam spacing is much larger than human traffic, translating to much smaller jam density, which will reduce road storage capacity.

[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]  Markos Papageorgiou,et al.  Macroscopic traffic flow modeling with adaptive cruise control: Development and numerical solution , 2015, Comput. Math. Appl..

[3]  Mykel J. Kochenderfer,et al.  Analysis of Recurrent Neural Networks for Probabilistic Modeling of Driver Behavior , 2017, IEEE Transactions on Intelligent Transportation Systems.

[4]  Riender Happee,et al.  The Deployment of Advanced Driver Assistance Systems in Europe , 2015 .

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

[6]  Gordon F. Newell,et al.  A simplified car-following theory: a lower order model , 2002 .

[7]  Biagio Ciuffo,et al.  The energy impact of adaptive cruise control in real-world highway multiple-car-following scenarios , 2020, European Transport Research Review.

[8]  M. Lighthill,et al.  On kinematic waves I. Flood movement in long rivers , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[9]  Maria Laura Delle Monache,et al.  Are Commercially Implemented Adaptive Cruise Control Systems String Stable? , 2019, IEEE Transactions on Intelligent Transportation Systems.

[10]  Xuan Di,et al.  Scalable traffic stability analysis in mixed-autonomy using continuum models , 2020 .

[11]  Mayank Bansal,et al.  ChauffeurNet: Learning to Drive by Imitating the Best and Synthesizing the Worst , 2018, Robotics: Science and Systems.

[12]  Benjamin Coifman,et al.  An Overview of Empirical Flow-Density and Speed-Spacing Relationships: Evidence of Vehicle Length Dependency , 2015 .

[13]  Maarten Steinbuch,et al.  String-Stable CACC Design and Experimental Validation: A Frequency-Domain Approach , 2010, IEEE Transactions on Vehicular Technology.

[14]  S.P. Hoogendoorn,et al.  Field Operational Test "The Assisted Driver" , 2007, 2007 IEEE Intelligent Vehicles Symposium.

[15]  S.P. Hoogendoorn,et al.  Driving behavior interaction with ACC: results from a Field Operational Test in the Netherlands , 2008, 2008 IEEE Intelligent Vehicles Symposium.

[16]  Balaji Ponnu,et al.  When Adjacent Lane Dependencies Dominate the Uncongested Regime of the Fundamental Relationship: Abridged , 2017 .

[17]  Zuduo Zheng,et al.  The relationship between car following string instability and traffic oscillations in finite-sized platoons and its use in easing congestion via connected and automated vehicles with IDM based controller , 2020 .

[18]  Steven E Shladover,et al.  Impacts of Cooperative Adaptive Cruise Control on Freeway Traffic Flow , 2012 .

[19]  Alireza Talebpour,et al.  Influence of connected and autonomous vehicles on traffic flow stability and throughput , 2016 .

[20]  Victor L. Knoop,et al.  Platoon of SAE Level-2 Automated Vehicles on Public Roads: Setup, Traffic Interactions, and Stability , 2019, Transportation Research Record: Journal of the Transportation Research Board.

[21]  Han-Shue Tan,et al.  Design and field testing of a Cooperative Adaptive Cruise Control system , 2010, Proceedings of the 2010 American Control Conference.

[22]  Jorge A. Laval,et al.  Car-following behavior characteristics of adaptive cruise control vehicles based on empirical experiments , 2021 .

[23]  Jeffrey M. Wooldridge,et al.  Introductory Econometrics: A Modern Approach , 1999 .

[24]  Steven E Shladover,et al.  Modeling cooperative and autonomous adaptive cruise control dynamic responses using experimental data , 2014 .

[25]  Xiaopeng Li,et al.  Empirical study on car-following characteristics of commercial automated vehicles with different headway settings , 2021, Transportation Research Part C: Emerging Technologies.

[26]  Soyoung Ahn,et al.  Applications of wavelet transform for analysis of freeway traffic : bottlenecks, transient traffic, and traffic oscillations , 2011 .

[27]  Xin Zhang,et al.  End to End Learning for Self-Driving Cars , 2016, ArXiv.

[28]  Nathan van de Wouw,et al.  Design and experimental evaluation of cooperative adaptive cruise control , 2011, 2011 14th International IEEE Conference on Intelligent Transportation Systems (ITSC).

[29]  X. Qu,et al.  On the Stochastic Fundamental Diagram for Freeway Traffic: Model Development, Analytical Properties, Validation, and Extensive Applications , 2017 .

[30]  Yu Wang,et al.  Review of Learning-Based Longitudinal Motion Planning for Autonomous Vehicles: Research Gaps Between Self-Driving and Traffic Congestion , 2019, Transportation Research Record: Journal of the Transportation Research Board.

[31]  Haizhong Wang,et al.  Stochastic modeling of the equilibrium speed-density relationship , 2013 .

[32]  Srinivas Peeta,et al.  Impact of the Low-level Controller on StringStability of Adaptive Cruise Control System , 2021, ArXiv.

[33]  Vicente Milanés Montero,et al.  Cooperative Adaptive Cruise Control in Real Traffic Situations , 2014, IEEE Transactions on Intelligent Transportation Systems.

[34]  Bart van Arem,et al.  Driving Characteristics and Adaptive Cruise Control ? A Naturalistic Driving Study , 2017, IEEE Intelligent Transportation Systems Magazine.

[35]  Soyoung Ahn,et al.  Verification of a simplified car-following theory , 2004 .

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

[37]  Meixin Zhu,et al.  Safe, Efficient, and Comfortable Velocity Control based on Reinforcement Learning for Autonomous Driving , 2019, ArXiv.

[38]  Daniel B. Work,et al.  Model-Based String Stability of Adaptive Cruise Control Systems Using Field Data , 2020, IEEE Transactions on Intelligent Vehicles.

[39]  Jorge A. Laval Hysteresis in traffic flow revisited: An improved measurement method , 2011 .

[40]  Danjue Chen,et al.  Dampen the Stop-and-Go Traffic with Connected and Automated Vehicles - A Deep Reinforcement Learning Approach , 2020, ArXiv.

[41]  Ludovic Leclercq,et al.  A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[42]  Soyoung Ahn,et al.  On the periodicity of traffic oscillations and capacity drop : the role of driver characteristics , 2014 .

[43]  Chin-Teng Lin,et al.  Jointly dampening traffic oscillations and improving energy consumption with electric, connected and automated vehicles: A reinforcement learning based approach , 2020 .

[44]  Wen-Long Jin,et al.  Kinematic Wave Traffic Flow Model for Mixed Traffic , 2002 .

[45]  Stephen Graham Ritchie,et al.  TRANSPORTATION RESEARCH. PART C, EMERGING TECHNOLOGIES , 1993 .

[46]  Biagio Ciuffo,et al.  openACC. An open database of car-following experiments to study the properties of commercial ACC systems , 2020, Transportation Research Part C: Emerging Technologies.

[47]  Soyoung Ahn,et al.  Passing Rates to Measure Relaxation and Impact of Lane‐Changing in Congestion , 2011, Comput. Aided Civ. Infrastructure Eng..

[48]  Soyoung Ahn,et al.  A behavioural car-following model that captures traffic oscillations , 2012 .

[49]  Biagio Ciuffo,et al.  Empirical Study on the Properties of Adaptive Cruise Control Systems and Their Impact on Traffic Flow and String Stability , 2020 .

[50]  Dirk Helbing,et al.  Adaptive cruise control design for active congestion avoidance , 2008 .

[51]  Xiaobo Liu,et al.  Analyzing the impact of automated vehicles on uncertainty and stability of the mixed traffic flow , 2020 .