Estimating the impacts of transit signal priority on intersection operations: A moving bottleneck approach

Abstract Transit Signal Priority (TSP) is a commonly used strategy to improve bus operations at signalized intersections. However, the impacts of TSP in mixed traffic environments has not been analytically studied. This is a challenging problem since car queues can slow down buses, while slow-moving buses can create bottlenecks for cars in mixed traffic. Furthermore, it is typically assumed that TSP is activated using bus information obtained from a fixed detector. The benefits of TSP to buses could be improved by using information from connected buses or even connected cars. To tackle these challenges, this paper models buses as moving bottlenecks, incorporating it into a kinematic wave theory (KWT) model. A dynamic programming (DP) algorithm is developed to evaluate the changes in delays to buses and cars caused by TSP using KWT and queuing theories considering the bus as a moving bottleneck. The proposed algorithm is utilized for sensitivity tests to determine the changes to car and bus delays as a result of TSP implementation as a function of the bus detector location, bus stop location and dwell duration, the existence of a downstream bottleneck, and bus detection technology. The detector location sensitivity analysis reveals that there exists an optimal (and different) bus detector location associated with each demand. The bus stop location and bus dwell duration sensitivity tests show that TSP implementation can reduce system-wide (i.e., total car and bus) delays. However, in general, it is found that the presence of a downstream bottleneck can diminish the benefits of providing TSP. Finally, different bus detection technologies are tested to quantify the benefits of using connected buses or connected cars for TSP provision in terms of car and bus delay savings. As a result of this test, it is found that connected cars can significantly improve both car and bus delays if used for TSP provision.

[1]  Tarek Sayed,et al.  Development of Dynamic Transit Signal Priority Strategy , 2009 .

[2]  Bruce Hellinga,et al.  Analytical Method for Estimating the Impact of Transit Signal Priority on Vehicle Delay , 2011 .

[3]  Eleni Christofa,et al.  An analytical model to conduct a person-based evaluation of transit preferential treatments on signalized arterials , 2014 .

[4]  Alexandre M. Bayen,et al.  Lax–Hopf Based Incorporation of Internal Boundary Conditions Into Hamilton–Jacobi Equation. Part I: Theory , 2010, IEEE Transactions on Automatic Control.

[5]  Graham Currie,et al.  Analytical and simulation approaches to understand combined effects of transit signal priority and road-space priority measures , 2017 .

[6]  G. F. Newell,et al.  Three-Dimensional Representation of Traffic Flow , 1971 .

[7]  Thomas Urbanik,et al.  MODEL TO EVALUATE THE IMPACTS OF BUS PRIORITY ON SIGNALIZED INTERSECTIONS , 1994 .

[8]  C. Daganzo A variational formulation of kinematic waves: Solution methods , 2005 .

[9]  Graham Currie,et al.  Coordinated Transit Signal Priority Model Considering Stochastic Bus Arrival Time , 2019, IEEE Transactions on Intelligent Transportation Systems.

[10]  Ahmad H. Dehwah,et al.  Analytical and grid-free solutions to the Lighthill-Whitham-Richards traffic flow model , 2011 .

[11]  Masao Kuwahara,et al.  Implementing kinematic wave theory to reconstruct vehicle trajectories from fixed and probe sensor data , 2011 .

[12]  Alexander Skabardonis,et al.  Control Strategies for Transit Priority , 1998 .

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

[14]  Kevin N. Balke,et al.  Development and Evaluation of Intelligent Bus Priority Concept , 2000 .

[15]  Khaled Shaaban,et al.  Evaluation of Transit Signal Priority Implementation for Bus Transit along a Major Arterial Using Microsimulation , 2018, ANT/SEIT.

[16]  Ngan,et al.  Impacts of various parameters on transit signal priority effectiveness , 2004 .

[17]  Hesham A Rakha,et al.  Evaluation of Potential Transit Signal Priority Benefits along a Fixed-Time Signalized Arterial , 2004 .

[18]  Alexander Skabardonis,et al.  Traffic Signal Optimization with Application of Transit Signal Priority to an Isolated Intersection , 2011 .

[19]  Gang-Len Chang,et al.  An Arterial-Based Transit Signal Priority Control System , 2018, Transportation Research Record: Journal of the Transportation Research Board.

[20]  K. Wada,et al.  An optimization modeling of coordinated traffic signal control based on the variational theory and its stochastic extension , 2018, Transportation Research Part B: Methodological.

[21]  Michele D. Simoni,et al.  A fast simulation algorithm for multiple moving bottlenecks and applications in urban freight traffic management , 2017 .

[22]  Yaser E. Hawas,et al.  An integrated real-time traffic signal system for transit signal priority, incident detection and congestion management , 2015 .

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

[24]  Carlos F. Daganzo,et al.  Moving Bottlenecks: A Numerical Method that Converges in Flows , 2003 .

[25]  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.

[26]  Peter T. Martin,et al.  Stochastic optimization of traffic control and transit priority settings in VISSIM , 2008 .

[27]  Byungkyu Park,et al.  Transit Signal Priority with Connected Vehicle Technology , 2014 .

[28]  Jean-Pierre Aubin,et al.  Dirichlet Problems for some Hamilton--Jacobi Equations with Inequality Constraints , 2008, SIAM J. Control. Optim..

[29]  Jia Hu,et al.  Transit signal priority accommodating conflicting requests under Connected Vehicles technology , 2016 .

[30]  S. Ilgin Guler,et al.  Optimizing Transit Signal Priority Implementation along an Arterial , 2018, Transportation Research Record: Journal of the Transportation Research Board.

[31]  Jun Ding,et al.  Multi-modal traffic signal control with priority, signal actuation and coordination , 2014 .

[32]  Jia Hu,et al.  Coordinated transit signal priority supporting transit progression under Connected Vehicle Technology , 2015 .

[33]  S. Ilgin Guler,et al.  Estimating the Impacts of Bus Stops and Transit Signal Priority on Intersection Operations: Queuing and Variational Theory Approach , 2017 .

[34]  Shuai Li,et al.  Modelling and managing bus service regularity with influence of prevailing traffic , 2019 .