Evaluating the effects of automated vehicle technology on the capacity of freeway weaving sections

Abstract Weaving sections, where a merge and a diverge are in close proximity, are considered as crucial bottlenecks in the highway network. Lane changes happen frequently in such sections, leading to a reduced capacity and the traffic phenomenon known as capacity drop. This paper studies how the emerging automated vehicle technology can improve the operations and increase the capacity of weaving sections. We propose an efficient yet effective multiclass hybrid model that considers two aspects of this technology in scenarios with various penetration rates: (i) the potential to control the desired lane change decisions of automated vehicles, which is represented in a macroscopic manner as the distribution of lane change positions, and (ii) the lower reaction time associated with automated vehicles that can reduce headways and the required gaps for lane changing maneuvers. The proposed model is successfully calibrated and validated with empirical observations from conventional vehicles at a weaving section near the city of Basel, Switzerland. It is able to replicate traffic dynamics in weaving sections including the capacity drop. This model is then applied in a simulation-based optimization framework that searches for the optimal distribution of the desired lane change positions to maximize the capacity of weaving sections. Simulation results show that by optimizing the distribution of the desired lane change positions, the capacity of the studied weaving section can increase up to 15%. The results also indicate that if the reaction time is considered as well, there is an additional combined effect that can further increase the capacity. Overall, the results show the great potential of the automated vehicle technology for increasing the capacity of weaving sections.

[1]  Marcel Sala,et al.  Effects of low speed limits on freeway traffic flow , 2017 .

[2]  LinRen Zhou,et al.  Response Surface Method Based on Radial Basis Functions for Modeling Large-Scale Structures in Model Updating , 2013, Comput. Aided Civ. Infrastructure Eng..

[3]  Christine A. Shoemaker,et al.  Influence of ensemble surrogate models and sampling strategy on the solution quality of algorithms for computationally expensive black-box global optimization problems , 2014, J. Glob. Optim..

[4]  S. Ilgin Guler,et al.  Isolated intersection control for various levels of vehicle technology: Conventional, connected, and automated vehicles , 2016 .

[5]  Fred L. Hall,et al.  FREEWAY CAPACITY DROP AND THE DEFINITION OF CAPACITY , 1991 .

[6]  Christine A. Shoemaker,et al.  A Stochastic Radial Basis Function Method for the Global Optimization of Expensive Functions , 2007, INFORMS J. Comput..

[7]  Christine A. Shoemaker,et al.  Constrained Global Optimization of Expensive Black Box Functions Using Radial Basis Functions , 2005, J. Glob. Optim..

[8]  Stephen D. Boyles,et al.  A multiclass cell transmission model for shared human and autonomous vehicle roads , 2016 .

[9]  Shinji Tanaka,et al.  Evaluation of Vehicle Control Algorithm to Avoid Conflicts in Weaving Sections under Fully-controlled Condition in Urban Expressway , 2017 .

[10]  Monica Menendez,et al.  Truck Speed Profile Models for Critical Length of Grade , 2003 .

[11]  Christine A. Shoemaker,et al.  Parallel radial basis function methods for the global optimization of expensive functions , 2007, Eur. J. Oper. Res..

[12]  Dong Ngoduy,et al.  DERIVATION OF CONTINUUM TRAFFIC MODEL FOR WEAVING SECTIONS ON FREEWAYS , 2006 .

[13]  Robert Piché,et al.  Mixture surrogate models based on Dempster-Shafer theory for global optimization problems , 2011, J. Glob. Optim..

[14]  Serge P. Hoogendoorn,et al.  Empirical Analysis of Merging Behavior at Freeway On-Ramp , 2010 .

[15]  Carlos F. Daganzo,et al.  Impacts of Lane Changes at Merge Bottlenecks: A Theory and Strategies to Maximize Capacity , 2007 .

[16]  Wen-Long Jin A kinematic wave theory of lane-changing traffic flow , 2005 .

[17]  J. Spall Multivariate stochastic approximation using a simultaneous perturbation gradient approximation , 1992 .

[18]  Monica Menendez,et al.  Assessment of the Impact of Incidents near Bottlenecks: Strategies to Reduce Delay , 2004 .

[19]  Soyoung Ahn,et al.  Towards vehicle automation: Roadway capacity formulation for traffic mixed with regular and automated vehicles , 2017 .

[20]  Mattias Björkman,et al.  Global Optimization of Costly Nonconvex Functions Using Radial Basis Functions , 2000 .

[21]  Ludovic Leclercq,et al.  Capacity drops at merges: An endogenous model , 2011 .

[22]  Christine A. Shoemaker,et al.  SO-I: a surrogate model algorithm for expensive nonlinear integer programming problems including global optimization applications , 2014, J. Glob. Optim..

[23]  Hans-Martin Gutmann,et al.  A Radial Basis Function Method for Global Optimization , 2001, J. Glob. Optim..

[24]  S. Ilgin Guler,et al.  Using connected vehicle technology to improve the efficiency of intersections , 2014 .

[25]  C. Daganzo,et al.  Effects of HOV lanes on freeway bottlenecks , 2007 .

[26]  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.

[27]  Monica Menendez,et al.  Extending Morris method for qualitative global sensitivity analysis of models with dependent inputs , 2017, Reliab. Eng. Syst. Saf..

[28]  Carlos F. Daganzo,et al.  Lane-changing in traffic streams , 2006 .

[29]  Carlos F. Daganzo,et al.  On the Numerical Treatment of Moving Bottlenecks , 2003 .

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

[31]  Michael J. Cassidy,et al.  Increasing Capacity of an Isolated Merge by Metering its On-Ramp , 2004 .

[32]  Jorge A. Laval,et al.  Microscopic modeling of the relaxation phenomenon using a macroscopic lane-changing model , 2008 .

[33]  Ludovic Leclercq,et al.  Capacity drops at merges: New analytical investigations , 2016 .

[34]  Hwasoo Yeo,et al.  Estimation of Capacity Drop in Highway Merging Sections , 2012 .

[35]  Serge P. Hoogendoorn,et al.  Capacity drop: A relation between the speed in congestion and the queue discharge rate , 2015 .

[36]  Biagio Ciuffo,et al.  An Exploratory Study of Two Efficient Approaches for the Sensitivity Analysis of Computationally Expensive Traffic Simulation Models , 2014, IEEE Transactions on Intelligent Transportation Systems.

[37]  Biagio Ciuffo,et al.  Combining screening and metamodel-based methods: An efficient sequential approach for the sensitivity analysis of model outputs , 2015, Reliab. Eng. Syst. Saf..

[38]  Nasser R. Sabar,et al.  Optimization of lane-changing distribution for a motorway weaving segment , 2017 .

[39]  Danjue Chen,et al.  Capacity-drop at extended bottlenecks: Merge, diverge, and weave , 2018 .

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

[41]  B. Kerner Empirical macroscopic features of spatial-temporal traffic patterns at highway bottlenecks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[42]  Christine A. Shoemaker,et al.  SO-MI: A surrogate model algorithm for computationally expensive nonlinear mixed-integer black-box global optimization problems , 2013, Comput. Oper. Res..

[43]  Agachai Sumalee,et al.  Modeling the impacts of mandatory and discretionary lane-changing maneuvers , 2016 .

[44]  Serge P. Hoogendoorn,et al.  Capacity Drops at Merges: Analytical Expressions for Multilane Freeways , 2016 .

[45]  Avishai Ceder,et al.  Observing freeway ramp merging phenomena in congested traffic , 2007 .

[46]  Ludovic Leclercq,et al.  A Macroscopic Model for Freeway Weaving Sections , 2015, Comput. Aided Civ. Infrastructure Eng..

[47]  M. Cassidy,et al.  Some traffic features at freeway bottlenecks , 1999 .

[48]  T. J. Mitchell,et al.  Exploratory designs for computational experiments , 1995 .

[49]  Michael J. Cassidy,et al.  Relation between traffic density and capacity drop at three freeway bottlenecks , 2007 .