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低速十字路口交通流模型相图
引用本文:李启朗,孙晓燕,汪秉宏,刘慕仁.低速十字路口交通流模型相图[J].海洋学报,2010,32(9):5996-6002.
作者姓名:李启朗  孙晓燕  汪秉宏  刘慕仁
作者单位:中国科学技术大学近代物理系,合肥 230026;安徽建筑工业学院数理系,合肥 230601;中国科学技术大学近代物理系,合肥 230026;中国科学技术大学近代物理系,合肥 230026;广西师范学院,南宁 530001
基金项目:国家重点基础研究发展计划(批准号:2006CB705500),国家自然科学基金(批准号:10975126,60744003,10635040,10532060)资助的课题.
摘    要:研究由两个单车道构成低速十字路口交通流模型.模型中两车道上的车辆更新遵循无交通灯管制下的并行规则.依据构建相图的原则并采用局部占有概率方法,建立相图,给出相图中的各部分区域的流量表达式.两车道均采用周期边界条件和确定性FI模型进行数值模拟,模拟结果与理论分析精确一致.模型中两条车道的行车规则更接近实际道路交通,该结果为交通管理提供一定的指导作用.

关 键 词:局部占有概率方法  相图  十字路口  元胞自动机

Phase diagrams of the crossroad traffic modelwith low velocity vehicles
Li Qi-Lang,Sun Xiao-Yan,Wang Bing-Hong and Liu Mu-Ren.Phase diagrams of the crossroad traffic modelwith low velocity vehicles[J].Acta Oceanologica Sinica (in Chinese),2010,32(9):5996-6002.
Authors:Li Qi-Lang  Sun Xiao-Yan  Wang Bing-Hong and Liu Mu-Ren
Institution:Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China;Department of Mathematics and Physics,Anhui University of Architecture,Hefei 230601,China;Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China;Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China;Guangxi Teachers Education University,Nanning 530001,China
Abstract:This work studies the crossroad traffic model with low velocity vehicles,wherein the model consists of two one-lane roads. The parallel updating rule without traffic lights is obeyed by all the cars in our model. Based on the principle for constructing phase diagrams and the local occupation probability method,the phase diagrams are constructed,and in every phase diagram,the formulas of current in each region can be obtained. The deterministic FI model with the periodic boundary is applied in our numerical simulations. It turns out that the numerical results are in exact accordance with the theoretical analysis. Besides,the parallel updating rule is more common in the real crossroad traffic and thus our work may be helpful for the study of traffic management.
Keywords:local occupation probability method  phase diagram  crossroad  cellular automaton
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