A Two-Lane Cellular Automata Traffic Model Under Three-Phase Traffic Theory

In this paper, we propose a new two-lane cellular automata (CA) traffic model under the three-phase traffic theory framework. In the model, the velocity update and lane-changing rules are designed for the phase of wide moving jam, which fills the gap of t

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nstitute of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China [email protected] Abstract. In this paper, we propose a new two-lane cellular automata (CA) traffic model under the three-phase traffic theory framework. In the model, the velocity update and lane-changing rules are designed for the phase of wide moving jam, which fills the gap of two-lane CA model research in three-phase traffic theory. Then, a simulation system is designed and implemented. Numerical simulation results show that the model proposed in this paper can reproduce the typical phenomena of three-phase traffic flow. Finally, this model is used to explore the variation laws of average velocity under different phases. Our research results provide an useful reference for the management of two-lane system. Keywords: Traffic model · Three-phase traffic theory · Traffic simulation system · Two-lane system

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Introduction

To explain the complex nonlinear traffic flow phenomenon, Kerner [1] proposed threephase traffic theory, which distinguished all the traffic states into three traffic phases, i.e. free flow, synchronized flow and wide moving jam. Traffic models based on this theory better conform to actual observations than the fundamental diagram approach in traffic simulation. In 2002, Kerner et al. [2] proposed the Kerner-Klenov-Wolf model (referred to as KKW model), which was the first successfully established cellular automata (CA) model belonging to three-phase traffic theory. Since then, more CA models in three-phase traffic theory have emerged [3–6]. Nevertheless, the common shortcoming of these models is that they are all single-lane models without taking consideration of multi-lane interactions. Traffic flow simulation systems based on CA model have the parallelization computational advantages; they can make full use of the up-to-date research results of IT [7–9]. For example, they can use communication and big data technologies to efficiently simulate the large scale road network. Our contributions in this paper include these: 1. Based on the behavior characteristics of vehicles in wide moving jam, velocity update and lane-changing rules for the traffic phase of wide moving jam are put forward.

© Springer Science+Business Media Singapore 2016 K. Li et al. (Eds.): ISICA 2015, CCIS 575, pp. 683–688, 2016. DOI: 10.1007/978-981-10-0356-1_71

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2. We propose a new two-lane CA traffic model under the framework of three-phase traffic theory. 3. A simulation system based on the model is designed and implemented. 4. By means of numerical simulation, the fundamental diagram of two-lane CA traffic model clearly shows the three traffic phases. 5. We have analyzed the average speed of each lane in three traffic phases. The results provide certain references to the management of two-lane traffic. The rest of this paper is organized as follows: In the second part, a two-lane CA traffic model applicable to the wide moving jam phase is brought up. The third part describes the design of the simulation system for our two-lane CA m