On cellular automata model of traffic flow with Lennard-Jones potential

IF 3 3区材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Nondestructive Testing and Evaluation Pub Date : 2023-10-26 DOI:10.1080/10589759.2023.2273521

Weifan Zheng, Yang Cheng, Xiao Ma, Hao Sui, Jiye Zhang

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Abstract

ABSTRACTBy introducing the Lennard-Jones potential into the interaction of vehicles, a new cellular automata model of traffic flow is proposed, in which the fixed probability of randomisation of cellular automata is replaced by the state transition probability of cell sites. The proposed model considers that the driver is affected by the interactional potential of vehicles before him/her, and the decision-making process is related to the value of the interactional potential. The model is more suitable for the driver’s random decision-making process which is based on the stochastic behaviour of traffic flow. The fundamental diagram (flow density relationship) of the proposed model is obtained, and the complex traffic phenomenon is reproduced through numerical simulation.KEYWORDS: Traffic flow modelLennard-Jones potentialcellular automata Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis work was supported in part by the National Natural Science Foundation of China under Grant 11572264, 12172308.

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具有Lennard-Jones势的交通流元胞自动机模型

摘要将Lennard-Jones势引入到车辆相互作用中，提出了一种新的元胞自动机交通流模型，该模型将元胞自动机随机化的固定概率替换为单元站点的状态转移概率。该模型考虑了驾驶员受到前方车辆交互潜力的影响，决策过程与交互潜力的值有关。该模型更适合于基于交通流随机行为的驾驶员随机决策过程。得到了该模型的基本图(流量密度关系)，并通过数值模拟再现了复杂的交通现象。关键词:交通流模型lennard - jones潜在元胞自动机披露声明作者未报告潜在利益冲突。本研究得到国家自然科学基金项目(11572264,12172308)的部分资助。

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来源期刊

Nondestructive Testing and Evaluation 工程技术-材料科学：表征与测试

CiteScore

4.30

自引率

11.50%

发文量

审稿时长

4 months

期刊介绍： Nondestructive Testing and Evaluation publishes the results of research and development in the underlying theory, novel techniques and applications of nondestructive testing and evaluation in the form of letters, original papers and review articles. Articles concerning both the investigation of physical processes and the development of mechanical processes and techniques are welcomed. Studies of conventional techniques, including radiography, ultrasound, eddy currents, magnetic properties and magnetic particle inspection, thermal imaging and dye penetrant, will be considered in addition to more advanced approaches using, for example, lasers, squid magnetometers, interferometers, synchrotron and neutron beams and Compton scattering. Work on the development of conventional and novel transducers is particularly welcomed. In addition, articles are invited on general aspects of nondestructive testing and evaluation in education, training, validation and links with engineering.