Optimal internal boundary control of lane-free automated vehicle traffic

A recently proposed paradigm for vehicular traffic in the era of CAV (connected and automated vehicles), called TrafficFluid, involves lane-free vehicle movement. Lane-free traffic implies that incremental road widening (narrowing) leads to corresponding incremental increase (decrease) of capacity; and this opens the way for consideration of real-time internal boundary control on highways and arterials, in order to flexibly share the total (both directions) road width and capacity among the two directions in dependence of the bi-directional demand and traffic conditions, so as to maximize the total (two directions) flow efficiency. The problem is formulated as a convex QP (Quadratic Programming) problem that may be solved efficiently, and representative case studies shed light on and demonstrate the features, capabilities and potential of the novel control action.

[1]  Nico Kaempchen,et al.  Highly Automated Driving on Freeways in Real Traffic Using a Probabilistic Framework , 2012, IEEE Transactions on Intelligent Transportation Systems.

[2]  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.

[3]  Athanasios K. Ziliaskopoulos,et al.  A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem , 2000, Transp. Sci..

[4]  Victor O. K. Li,et al.  Dynamic Lane Reversal Routing and Scheduling for Connected and Autonomous Vehicles: Formulation and Distributed Algorithm , 2020, IEEE Transactions on Intelligent Transportation Systems.

[5]  Markos Papageorgiou,et al.  Traffic flow optimisation in presence of vehicle automation and communication systems – Part II: Optimal control for multi-lane motorways , 2015 .

[6]  Markos Papageorgiou,et al.  An integrated control approach for traffic corridors , 1995 .

[7]  Werner Huber,et al.  Experience, Results and Lessons Learned from Automated Driving on Germany's Highways , 2015, IEEE Intelligent Transportation Systems Magazine.

[8]  Markos Papageorgiou,et al.  Real-time merging traffic control with applications to toll plaza and work zone management , 2008 .

[9]  Markos Papageorgiou,et al.  Delft University of Technology Resolving freeway jam waves by discrete first-order model-based predictive control of variable speed limits , 2017 .

[10]  S. Travis Waller,et al.  A Decomposition Scheme for System Optimal Dynamic Traffic Assignment Models , 2003 .

[11]  K. Yuan Capacity Drop on Freeways: Traffic Dynamics, Theory and Modeling , 2016 .

[12]  Wang,et al.  Review of road traffic control strategies , 2003, Proceedings of the IEEE.

[13]  Markos Papageorgiou,et al.  Macroscopic Modeling and Control of Reversible Lanes on Freeways , 2016, IEEE Transactions on Intelligent Transportation Systems.

[14]  Andreas Hegyi,et al.  Considerations for model-based traffic control , 2013 .

[15]  Stephen D. Boyles,et al.  Impact of Autonomous Vehicles on Traffic Management: Case of Dynamic Lane Reversal , 2016 .

[16]  M. Papageorgioun Optimal control as a source of intelligent behaviour , 1997, Proceedings of 12th IEEE International Symposium on Intelligent Control.

[17]  George L. Nemhauser,et al.  Handbooks in operations research and management science , 1989 .

[18]  Pravin Varaiya,et al.  Active traffic management on road networks: a macroscopic approach , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[19]  Konstantinos Ampountolas,et al.  Motorway Tidal Flow Lane Control , 2020, IEEE Transactions on Intelligent Transportation Systems.

[20]  Satish V. Ukkusuri,et al.  On the holding-back problem in the cell transmission based dynamic traffic assignment models , 2012 .

[21]  Martin Fellendorf,et al.  Comparing Calibrated Shared Space Simulation Model with Real-Life Data , 2013 .

[22]  Stephen D. Boyles,et al.  System Optimal Dynamic Lane Reversal for Autonomous Vehicles , 2015, 2015 IEEE 18th International Conference on Intelligent Transportation Systems.

[23]  Stephen D. Boyles,et al.  A cell transmission model for dynamic lane reversal with autonomous vehicles , 2016 .

[24]  Roberto Horowitz,et al.  Optimal freeway ramp metering using the asymmetric cell transmission model , 2006 .

[25]  Mike McDonald,et al.  ITS and Traffic Management , 2007 .

[26]  Iasson Karafyllis,et al.  Lane-free Artificial-Fluid Concept for Vehicular Traffic , 2019, Proc. IEEE.

[27]  Tom V. Mathew,et al.  Towards Behavioral Modeling of Drivers in Mixed Traffic Conditions , 2016 .

[28]  Markos Papageorgiou,et al.  First-order traffic flow models incorporating capacity drop: Overview and real-data validation , 2017 .

[29]  Peter Stone,et al.  Dynamic lane reversal in traffic management , 2011, 2011 14th International IEEE Conference on Intelligent Transportation Systems (ITSC).

[30]  Takayoshi Yoshimura,et al.  Efficient Driving on Multilane Roads Under a Connected Vehicle Environment , 2016, IEEE Transactions on Intelligent Transportation Systems.

[31]  Peter Vortisch,et al.  Methodology for the Calibration of VISSIM in Mixed Traffic , 2013 .

[32]  Chen Wen,et al.  Dynamic Traffic Control and Direction Switch of Reversible Lanes for Continuous Flow Considering V2I , 2018 .

[33]  C. Daganzo THE CELL TRANSMISSION MODEL.. , 1994 .

[34]  Markos Papageorgiou,et al.  Chapter 11 ITS and Traffic Management , 2007, Transportation.

[35]  Tomer Toledo,et al.  Driving Behaviors: Models and Challenges for Non-Lane Based Mixed Traffic , 2016 .

[36]  Serge P. Hoogendoorn,et al.  Capacity Drop , 2015 .

[37]  D. Manjunath,et al.  A Microscopic Model for Lane-Less Traffic , 2019, IEEE Transactions on Control of Network Systems.

[38]  B. K. Bhavathrathan,et al.  Evolution of macroscopic models for modeling the heterogeneous traffic: an Indian perspective , 2012 .

[39]  Martin Treiber,et al.  Self-driven particle model for mixed traffic and other disordered flows , 2018, Physica A: Statistical Mechanics and its Applications.

[40]  Markos Papageorgiou,et al.  Motorway Path Planning for Automated Road Vehicles Based on Optimal Control Methods , 2018, Transportation Research Record: Journal of the Transportation Research Board.

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