Incorporating Departure Time Choice into High-occupancy/toll (HOT) Algorithm Evaluation

Abstract This paper presents an evaluation framework for high-occupancy/toll (HOT) lanes, extending previous frameworks by incorporat- ing departure time choice alongside stochasticity in demand. Drivers are divided into two classes, strategic and captive drivers. Strategic drivers time their departures to minimize expected generalized cost and can choose either the free lanes or HOT lane. Captive drivers have random departure times, and must choose the free lanes. Generalized cost for strategic drivers takes the form of the well-known schedule delay penalty function combined with travel time. The traffic flow model involves two parallel bot- tlenecks, one for each lane group. Four toll algorithms are compared: a fixed toll which is constant in time and unresponsive; a dynamic, but unresponsive toll based on expected demand; a dynamic and responsive toll which adapts based on congestion in the HOT lane; and a “full-information” toll which is aware of all captive driver inflows.

[1]  W. Vickrey Congestion Theory and Transport Investment , 1969 .

[2]  Mogens Fosgerau,et al.  How a fast lane may replace a congestion toll , 2011 .

[3]  Hillel Bar-Gera Fast Lane to Tel-Aviv: High-Occupancy-Toll Project with Pareto Package , 2012 .

[4]  Hai Yang,et al.  System Optimum, Stochastic User Equilibrium, and Optimal Link Tolls , 1999, Transp. Sci..

[5]  A. Palma,et al.  Economics of a bottleneck , 1986 .

[6]  C Terence,et al.  The Value of Time and Reliability: Measurement from a Value Pricing Experiment , 2003 .

[7]  Christopher Williamson,et al.  The Economic Effects of Highway Widening: Tolled Lanes vs. General-Purpose Lanes - Using an Integrated Impact Model , 2004 .

[8]  Xeuhao Chu,et al.  Endogenous Trip Scheduling: The Henderson Approach Reformulated and Compared with the Vickrey Approach , 1993 .

[9]  Xinyu Cao,et al.  Safety Benefits of Converting HOV Lanes to HOT Lanes: Case Study of I-394 MNPass , 2012 .

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

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

[12]  André de Palma,et al.  Recent Developments in the Bottleneck Model , 1995 .

[13]  Carlos F. Daganzo,et al.  The Uniqueness of a Time-dependent Equilibrium Distribution of Arrivals at a Single Bottleneck , 1985, Transp. Sci..

[14]  John Doan High-Occupancy Toll-Lane Innovations: I-394 MnPASS , 2007 .

[15]  Hai Yang,et al.  Evaluating the benefits of a combined route guidance and road pricing system in a traffic network with recurrent congestion , 1999 .

[16]  Donald Ervin Knuth,et al.  The Art of Computer Programming , 1968 .

[17]  Michiel C.J. Bliemer,et al.  Rewarding instead of charging road users: a model case study investigating effects on traffic conditions , 2010 .

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

[19]  Keechoo Choi,et al.  Dynamic Toll Concept to Assess Feasibility of High-Occupancy Vehicle Lane on Kyungbu Freeway, South Korea , 2010 .

[20]  Joy Dahlgren,et al.  High-occupancy/toll lanes: where should they be implemented? , 2002 .

[21]  Emily Parkany CAN HOT LANES ENCOURAGE CARPOOLING? A CASE STUDY OF CARPOOLING BEHAVIOR ON THE 91 EXPRESS LANES , 1998 .

[22]  David H Ungemah,et al.  Investigating the Impact of Tolls on High-Occupancy-Vehicle Lanes Using Managed Lanes , 2009 .

[23]  Yang Liu,et al.  Morning commute problem considering route choice, user heterogeneity and alternative system optima , 2011 .

[24]  John F. McDonald,et al.  Economic efficiency of second-best congestion pricing schemes in urban highway systems , 1999 .

[25]  Stephen D. Boyles,et al.  Robust Tolling Schemes for High-Occupancy Toll Facilities under Variable Demand , 2014 .

[26]  F. Facchinei,et al.  Finite-Dimensional Variational Inequalities and Complementarity Problems , 2003 .

[27]  Carlos F. Daganzo,et al.  Morning Commute with Competing Modes and Distributed Demand: User Equilibrium, System Optimum, and Pricing , 2012 .

[28]  Terry L. Friesz,et al.  Dynamic Network User Equilibrium with State-Dependent Time Lags , 2001 .

[29]  Lei Rao,et al.  A simultaneous route and departure time choice equilibrium model on dynamic networks , 1999 .

[30]  Ginger Goodin,et al.  Predetermining Performance-Based Measures for Managed Lanes , 2011 .

[31]  Giuseppe Bellei,et al.  A demand model with departure time choice for within-day dynamic traffic assignment , 2006, Eur. J. Oper. Res..

[32]  Kaan Ozbay,et al.  Simulation-Based Evaluation of a Feedback Based Dynamic Congestion Pricing Strategy on Alternate Facilities , 2011 .

[34]  S. Travis Waller,et al.  Quantifying the benefit of responsive pricing and travel information in the stochastic congestion pricing problem , 2011 .

[35]  Chih-Lin Chung,et al.  State-of-the-Art Assessment of Toll Rates for High-Occupancy and Toll Lanes , 2011 .

[36]  H. Michael Zhang,et al.  A Polymorphic Dynamic Network Loading Model , 2008, Comput. Aided Civ. Infrastructure Eng..

[37]  Yingyan Lou,et al.  Optimal Dynamic Pricing Strategies for High-Occupancy/Toll Lanes , 2011 .

[38]  W. Lam,et al.  Risk Analysis of Traffic and Revenue Forecasts for Road Investment Projects , 1998 .

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

[40]  Yue Li,et al.  Linear Programming Formulations for System Optimum Dynamic Traffic Assignment with Arrival Time-Based and Departure Time-Based Demands , 1999 .

[41]  Satish V. Ukkusuri,et al.  Mesoscopic Simulation Evaluation of Dynamic Congestion Pricing Strategies for New York City Crossings , 2011 .

[42]  Chris Hendrickson,et al.  Schedule Delay and Departure Time Decisions in a Deterministic Model , 1981 .

[43]  Michael J. Smith,et al.  The Existence of a Time-Dependent Equilibrium Distribution of Arrivals at a Single Bottleneck , 1984, Transp. Sci..

[44]  Marcus A Brewer,et al.  Findings From Texas: Five Years of Research on Managed Lanes , 2005 .

[45]  Yingyan Lou,et al.  Proactive and Robust Dynamic Pricing Strategies for High-Occupancy-Toll (HOT) Lanes , 2011 .

[46]  R. Lindsey,et al.  Private toll roads: Competition under various ownership regimes , 2000 .