Real-time Adaptive Tolling Scheme for Optimized Social Welfare in Traffic Networks

Connected and autonomous vehicle technology has advanced rapidly in recent years. These technologies create possibilities for advanced AI-based traffic management techniques. Developing such techniques is an important challenge and opportunity for the AI community as it requires synergy between experts in game theory, multiagent systems, behavioral science, and flow optimization. This paper takes a step in this direction by considering traffic flow optimization through setting and broadcasting of dynamic and adaptive tolls. Previous tolling schemes either were not adaptive in realtime, not scalable to large networks, or did not optimize traffic flow over an entire network. Moreover, previous schemes made strong assumptions on observable demands, road capacities and users homogeneity. This paper introduces △-tolling, a novel tolling scheme that is adaptive in real-time and able to scale to large networks. We provide theoretical evidence showing that under certain assumptions △-tolling is equal to Marginal-Cost Tolling, which provably leads to system-optimal, and empirical evidence showing that △-tolling increases social welfare (by up to 33%) in two traffic simulators with markedly different modeling assumptions.

[1]  R. Tobin,et al.  Dynamic congestion pricing models for general traffic networks , 1998 .

[2]  A. C. Pigou Economics of welfare , 1920 .

[3]  Stephen D. Boyles,et al.  Development and comparison of choice models and tolling schemes for high-occupancy/toll (HOT) facilities , 2013 .

[4]  Hai Yang,et al.  A trial-and-error congestion pricing scheme for networks with elastic demand and link capacity constraints , 2015 .

[5]  Robert B. Dial,et al.  A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration , 2006 .

[6]  Dirk Cattrysse,et al.  A generic class of first order node models for dynamic macroscopic simulation of traffic flows , 2011 .

[7]  Michael W. Levin,et al.  Improving the Convergence of Simulation-based Dynamic Traffic Assignment Methodologies , 2015 .

[8]  Hai Yang,et al.  TRIAL-AND-ERROR IMPLEMENTATION OF MARGINAL-COST PRICING ON NETWORKS IN THE ABSENCE OF DEMAND FUNCTIONS , 2004 .

[9]  Foo Tuan Seik An advanced demand management instrument in urban transport , 2000 .

[10]  David C. Parkes,et al.  When are Marginal Congestion Tolls Optimal? , 2016, ATT@IJCAI.

[11]  Vladimir Livshits,et al.  Estimation and Comparison of Volume Delay Functions for Arterials and Freeway HOV and General Purpose Lanes , 2011 .

[12]  Hani S. Mahmassani,et al.  A bi-criterion dynamic user equilibrium traffic assignment model and solution algorithm for evaluating dynamic road pricing strategies , 2008 .

[13]  Yafeng Yin,et al.  Dynamic Tolling Strategies for Managed Lanes , 2009 .

[14]  Larry J. LeBlanc,et al.  AN EFFICIENT APPROACH TO SOLVING THE ROAD NETWORK EQUILIBRIUM TRAFFIC ASSIGNMENT PROBLEM. IN: THE AUTOMOBILE , 1975 .

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

[16]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[17]  Ana Aizcorbe,et al.  Heterogeneous car buyers: a stylized fact , 2009 .

[18]  T. Friesz,et al.  Dynamic Congestion Pricing in Disequilibrium , 2004 .

[19]  Michael Patriksson,et al.  Computational Precision of Traffic Equilibria Sensitivities in Automatic Network Design and Road Pricing , 2013 .

[20]  Peter Stone,et al.  A Multiagent Approach to Autonomous Intersection Management , 2008, J. Artif. Intell. Res..

[21]  Benjamin Seibold,et al.  A comparison of data-fitted first order traffic models and their second order generalizations via trajectory and sensor data , 2012, 1208.0382.

[22]  Carlos F. Daganzo,et al.  THE CELL TRANSMISSION MODEL.. , 1993 .

[23]  T. Koopmans,et al.  Studies in the Economics of Transportation. , 1956 .

[24]  J A Lindley,et al.  URBAN FREEWAY CONGESTION: QUANTIFICATION OF THE PROBLEM AND EFFECTIVENESS OF POTENTIAL SOLUTIONS , 1987 .

[25]  D. Hensher,et al.  Willingness to pay for travel time reliability in passenger transport: A review and some new empirical evidence , 2010 .

[26]  Cade Braud,et al.  Traffic signal timing manual. , 2008 .

[27]  William H. K. Lam,et al.  Transportation Research, Part A: Policy and Practice , 1997 .

[28]  BarcelíJ.,et al.  Microscopic traffic simulation , 2005 .

[29]  Avinash Unnikrishnan,et al.  A Dual Variable Approximation Based Heuristic for Dynamic Congestion Pricing , 2011 .

[30]  Jon Bottom,et al.  Dynamic Traffic Assignment: A Primer , 2011 .

[31]  Stephen D. Boyles,et al.  Delta-Tolling: Adaptive Tolling for Optimizing Traffic Throughput , 2016, ATT@IJCAI.

[32]  C. Pell,et al.  Some advances in model design developed for the practical assessment of road pricing in Hong Kong , 1986 .

[33]  Dominic Parga Cacheiro,et al.  Microscopic Traffic Simulation , 2016 .

[34]  Yu-Chiun Chiou,et al.  Freeway drivers’ willingness-to-pay for a distance-based toll rate , 2012 .

[35]  Carlos F. Daganzo,et al.  THE CELL TRANSMISSION MODEL, PART II: NETWORK TRAFFIC , 1995 .

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

[37]  小泉 信三 社会政策の原理 : Pigou, The economics of welfareを読む , 1923 .

[38]  Dietrich Braess,et al.  Über ein Paradoxon aus der Verkehrsplanung , 1968, Unternehmensforschung.

[39]  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.

[40]  Byung-Wook Wie,et al.  Dynamic Stackelberg equilibrium congestion pricing , 2007 .

[41]  Stephen D. Boyles,et al.  Intersection Auctions and Reservation-Based Control in Dynamic Traffic Assignment , 2015 .

[42]  A. Palma,et al.  A STRUCTURAL MODEL OF PEAK-PERIOD CONGESTION: A TRAFFIC BOTTLENECK WITH ELASTIC DEMAND. IN: RECENT DEVELOPMENTS IN TRANSPORT ECONOMICS , 1993 .

[43]  I. Bohachevsky,et al.  Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics , 1959 .

[44]  Hai Yang,et al.  Analysis of the time-varying pricing of a bottleneck with elastic demand using optimal control theory , 1997 .

[45]  Erik T. Verhoef,et al.  SECOND-BEST CONGESTION PRICING IN GENERAL NETWORKS. HEURISTIC ALGORITHMS FOR FINDING SECOND-BEST OPTIMAL TOLL LEVELS AND TOLL POINTS , 2002 .

[46]  A. Orłowski,et al.  The Models of Personal Incomes in USA , 2012 .

[47]  Peter Vortisch,et al.  Microscopic Traffic Flow Simulator VISSIM , 2010 .

[48]  Piet H. L. Bovy,et al.  Optimal Toll Design Problem in Dynamic Traffic Networks with Joint Route and Departure Time Choice , 2005 .

[49]  D. Brownstone,et al.  Drivers' Willingness-to-Pay to Reduce Travel Time: Evidence from the San Diego I-15 Congestion Pricing Project , 2002 .

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

[51]  D. Schrank,et al.  2015 Urban Mobility Scorecard , 2015 .