Evaluating the effects of automated vehicle technology on the capacity of freeway weaving sections
Introduction
A weaving section is a highway segment where an on-ramp and an off-ramp are in close proximity. The name originates from the vehicle trajectory pattern formed by drivers who change from the auxiliary lane to the highway and vice versa. Weaving sections are considered as typical bottlenecks for highway networks. Therefore, the capacity of weaving sections is of high significance for the system-wide operations of these networks.
Negative impacts on the capacity of weaving sections result from the traffic phenomenon of the capacity drop, which is widely observed and reported throughout the literature. It is defined as the decrease of the discharge flow at bottlenecks once a queue has formed upstream (Hall and Agyemang-Duah, 1991). Numerous reports show different extents of the capacity drop at merges and weaving sections, ranging normally between 3% and 20% (Hall and Agyemang-Duah, 1991, Cassidy and Bertini, 1999, Chung et al., 2007, Majid Sarvi, 2010, Oh and Yeo, 2012), but in some special cases up to 30% (Kerner, 2002, Yuan et al., 2014, Soriguera et al., 2017). The underlying causes for a reduced stable capacity in weaving sections include lane changes, driving behavior, high traffic densities spreading from the shoulder lane onto other freeway lanes, and the speed of vehicles in congestion (Cassidy and Rudjanakanoknad, 2005, Laval and Daganzo, 2006, Laval et al., 2007, Chung et al., 2007, Lee and Cassidy, 2009, Yuan et al., 2014). Overall, it is agreed that the cause for it is related to local traffic conditions and that lane changes are of great significance. Chen and Ahn (2018), for example, identified the two counteracting effects of lane changes that govern capacity drop: persisting voids (wasted space) and utilization of vacancies created by diverging vehicles. Recent empirical observations further suggest that the non-optimal distribution of lane change positions is of great importance for the decrease of the capacity. For example, Menendez and He, 2017, He and Menendez, 2016 discovered a strongly right-skewed distribution of lane change positions (early lane change positions) in the city of Basel, Switzerland. Additionally, Lee, 2008, Sulejic et al., 2017 suggest that the concentration of lane changes in the beginning of weaving sections leads to a low capacity.
The emergence of new technologies, such as automated vehicles, facilitates the optimization and control of traffic flow (National Highway Traffic Safety Administration, 2013, Friedrich, 2015, Talebpour and Mahmassani, 2016, Yang et al., 2016, Yang et al., 2018). The automated vehicle technology (AVT) eliminates the influence of human factors such as the reaction time, reducing headways and the required gap for lane changing, thus potentially increasing the highway capacity. Moreover, the information provided by automated vehicles is valuable to identify the traffic states on urban arterials (Yang and Menendez, 2017) and highways (Menendez and Daganzo, 2004), and can be used for more intricate control (Guler et al., 2014). The AVT further provides the flexibility for central traffic managers to control the motion or gap searching decisions of the vehicles and apply adequate measures to improve the operations of traffic systems (Yang et al., 2016). However, the transition from conventional to automated vehicles will not happen abruptly. Depending on the penetration rate of automated vehicles in the overall traffic stream, the effects will supposedly differ. The effects of automated vehicles at several different automation stages and penetration rates, on the capacity of the highway network of Germany were assessed by Hartmann et al. (2017). Chen et al. (2017) studied the effects of automated vehicles and conventional vehicles on highway capacity, specially under different lane policies, such as exclusive automated and/or regular vehicle lanes and mixed-use lanes. However, to the best knowledge of the authors, the specific impact of automated vehicles on weaving sections including lateral effects and considering different penetration rates still remains unknown.
The goal of this paper is to propose a systematic framework to evaluate the effects of automated vehicles on the capacity of weaving sections. The contributions are twofold. First, we propose an efficient yet effective multi-class hybrid model to evaluate how automated vehicles can improve the operation of weaving sections regarding the effects of lane changes. Particularly, we model two aspects of the AVT: (i) the potential to control desired lane change decisions of automated vehicles, and (ii) the lower reaction times associated with automated vehicles which lead to reduced headways and shorter required gaps for lane changing maneuvers. To ensure efficiency, both aspects are characterized by direct macroscopic inputs to the proposed model. The lane changing decisions are depicted as the distribution of desired lane change positions, and the reaction times are represented by the fundamental diagrams. Moreover, we examine different application stages of such technology by considering various penetration rates. Second, the mechanism of the model enables a systematic search for an optimum distribution of desired lane change positions for a given set of input parameters in scenarios with different penetration rates. This is formulated as a simulation-based optimization problem, which is solved for each scenario using a surrogate method that is capable of finding the quasi-global optimum. Such method and the obtained distribution shed light on where to guide drivers regarding their lane changing maneuvers.
The remainder of the paper is structured as follows. Section 2 provides a short review of the related work. Section 3 describes the proposed multi-class hybrid model and shows the validation results. Section 4 explains the incorporation of the considered aspects of automated vehicles including the optimization. Subsequently, a simulation is conducted in Section 5 to show the influences of optimum desired lane change distributions and shorter reaction times on the capacity of weaving sections. Additionally, the effects of the simultaneous consideration of both aspects are analyzed. Finally, Section 6 concludes the paper and outlines possible future research.
Section snippets
Related work
Lee (2008) developed a microscopic traffic model for weaving sections based on the lane changing and car following model formulated in Menendez (2006) and validated in Menendez and Daganzo (2007). Their lane changing model distinguishes between three different lane change types, i.e. free, forced, and cooperative lane changes. Inspired by the multi-lane hybrid theory (MHT) and incorporating certain ideas on the modeling of the relaxation phenomenon, Laval and Leclercq (2008) proposed a
Multi-class hybrid model
In this section, we develop a hybrid multi-class model for weaving sections based on the original MHT and the multi-class CTM by Levin and Boyles (2016). The proposed model is then calibrated and validated with real data from a weaving section in Switzerland. For the readers’ convenience, Table 1 provides an overview of the indices and the variables used in the rest of the paper.
This paper explicitly models the distinction between two vehicle classes, i.e. conventional and automated vehicles,
Optimizing traffic flow using automated vehicle technology
In this section, we exploit the benefits of automated vehicles by controlling their lane change decisions to optimize traffic flow. The proposed model in Section 3 characterizes such decisions as the distribution of the desired lane change positions, which serves as a direct input to the model. Therefore, the proposed model is advantageous over the previous models (e.g. Leclercq et al., 2011, Leclercq et al., 2016b) in that it enables the possibility to optimize the lane change distribution of
Evaluation of the impact of automated vehicle technology
In this section, we apply the proposed model to evaluate the impact of the AVT on the capacity of weaving sections under various penetration rates. Two types of scenarios are considered based on whether the difference in reaction times for both vehicle classes is taken into account. In the first type of scenarios, we assume that reaction times associated to automated vehicles are equal to the ones associated to conventional vehicles, i.e. there is a unique fundamental diagram independent of the
Conclusion
This paper proposes a hybrid multi-class model to study the effects of automated vehicles on weaving sections, which has been rarely explored in the literature. Two aspects of automated vehicles are studied, i.e. the flexibility to control the lane change decision and the reduction in reaction times. The proposed model builds on the MHT, and extends it by considering multiple vehicle classes. Additionally, we modify the original MHT to model mandatory instead of discretionary lane changes and
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