Multianticipative Nonlocal Macroscopic Traffic Model

Abstract

Multianticipative driving behavior, where a vehicle reacts to many vehicles in front, has been extensively studied and modeled using a car‐following (i.e., microscopic) approach. A lot of effort has been undertaken to model such multianticipative driving behavior using a macroscopic approach, which is useful for real‐time prediction and control applications due to its fast computational demand. However, these macroscopic models have increasingly failed with an increased number of anticipations. To this end, this article puts forward derivation of an improved macroscopic model for multianticipative driving behavior using a modified gas‐kinetic approach. First, the basic (microscopic) generalized force model, which has been claimed to fit well with real traffic data, is chosen for the derivation. Second, the derivation method relaxes the condition that deceleration happens instantaneously. Theoretical analysis and numerical simulations of the model are carried out to show the improved performance of the derived model over the existing (multianticipative) macroscopic models.

Platoon based cooperative driving model with consideration of realistic inter-vehicle communication

“…for the connected vehicles. To this end, we can adopt the model proposed in this paper for the specification of f ca and any current 8 car-following model such as the Intelligent Driver Model of Treiber et al (2006) or the multianticipative model of Ngoduy and Wilson (2014) for the specification of f hu . In the ensuing paper, we only focus on the fully connected traffic flow and define the corresponding functional form f (.)…”

Multi anticipative bidirectional macroscopic traffic model considering cooperative driving strategy

“…For example, many car-following models have been developed to account for the multiple anticipative driving strategy where the considered vehicle can react to the behaviour of many leading vehicles (Lenz, Wagner, and Sollacher 1999;Ge, Dai, and Dong 2006a;Treiber, Kesting, and Helbing 2006;Schreuder 2006, 2007;Kesting and Treiber 2008;Kesting, Treiber, and Helbing 2010). Such multi anticipative driving strategy generally leads to a better traffic operation such as enhanced capacity and more stable traffic flow with respect to perturbations caused by, for example, sudden deceleration or lane-changes of vehicles (Treiber, Kesting, and Helbing 2006;Kesting, Treiber, and Helbing 2010;Sau et al 2014;Monteil et al 2014;Ngoduy 2013b;Ngoduy and Wilson 2014;Ngoduy 2015). A few other research has been conducted to investigate how the information from the following vehicles affects the dynamics of traffic flow (Nakayama, Sugiyama, and Hasebe 2001;Hasebe, Nakayama, and Sugiyama 2003;Ge, Zhu, and Dai 2006b;Sun, Liao, and Peng 2011;Yang et al 2013;Zheng, Zhong, and Ma 2013;Jin et al 2014).…”

“…via car-following models), but very limited has been done to develop the macroscopic (or continuum) model for such intelligent traffic systems. To the best of our knowledge, only a few continuum (macroscopic) models have been developed to consider either multiple forward looking strategy (Wilson et al 2004;Ngoduy and Wilson 2014) or both single forward looking and backward looking driving strategy (Zheng, Jin, and Huang 2015). It is worth noticing that while the multi anticipative model of Ngoduy and Wilson (2014) is nonlocal (i.e.…”

“…To the best of our knowledge, only a few continuum (macroscopic) models have been developed to consider either multiple forward looking strategy (Wilson et al 2004;Ngoduy and Wilson 2014) or both single forward looking and backward looking driving strategy (Zheng, Jin, and Huang 2015). It is worth noticing that while the multi anticipative model of Ngoduy and Wilson (2014) is nonlocal (i.e. the vehicles interact with the leader(s) at an advanced distance), the bidirectional model of Zheng, Jin, and Huang (2015) is local but may still reserve the anisotropic property (i.e.…”

Effect of the car-following combinations on the instability of heterogeneous traffic flow

“…Research on traffic instabilities has been conducted in traffic flow theory since 1950s (Herman et al 1959). Both linear and nonlinear stability analysis methods have been applied to study traffic instabilities using either microscopic models (Herman et al 1959;Wilson et al 2004;Treiber, Kesting, and Helbing 2005;Kesting and Treiber 2008;Yu, Shi, and Zhou 2008;Li et al 2009Li et al , 2011Tian, Sun, and Zhang 2011;Kesting 2011, 2013;Peng et al 2012;Tang et al 2012;Zheng et al 2012) or macroscopic models (Wilson et al 2004;Katiyar 2005, 2006;Zhang and Wong 2006;Tang, Huang, and Xu 2008;Helbing and Johansson 2009;Ngoduy and Tampere 2009;Tang et al 2011;Kesting 2011, 2013;Zhang, Wong, and Dai 2011;Ngoduy 2012aNgoduy , 2012bNgoduy , 2013aNgoduy , 2013bGupta and Dhiman 2014;Ngoduy 2014;Ngoduy and Wilson 2014). However, very little effort has been undertaken to perform such stability analysis in the context of heterogeneous traffic flow.…”