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The Effect Of On-Ramp And Off-Ramp On The One Dimensional Road With Open Boundaries

机译:有边界的一维道路上匝道和匝道的影响

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摘要

The effect of one on-ramp (entry) and one off-ramp (exit) is investigated numerically in one dimensional-cellular automaton traffic flow model, with open boundary conditions, using parallel dynamics. Our aim in this paper is to study how the injecting rates $\alpha$ and $\alpha_{0}$ and the extracting rates $\beta$ and $\beta_{0}$ acts on the density and flux of cars in one dimensional road. The priority of occupation at entry site $i_{1}$ (moving at exit site $i_{2}$) is attributed to the particle which entered (absorbed) in the chain. Phase diagrams in ($\beta_{0},\alpha_{0}$), and ($\beta,\alpha_{0}$) plans are established. For $\alpha=0.1$, they show three different topologies in the flow behaviour. The first one correspond to the presence of four regions, by varying $\alpha_{0}$; namely low density phase (LDP), intermediate density phase (IDP), plateau current phase (PCP) and high density phase (HDP). In the second topology the interdmediate density phase disappears. The third topology presents only two regions; i.e. low and high density phases. For small values of $\alpha$, the (IDP) and (PCP) disappears, respectively, by increasing $\beta$. When increasing $\alpha$, the forth topology, corresponding to one phase (HDP), appears for low values of $\beta$ and $\beta_{0}$
机译:在具有开放边界条件的一维细胞自动机交通流模型中,使用并行动力学数值研究了一个匝道(入口)和一个匝道(出口)的影响。我们在本文中的目的是研究注入速率$ \ alpha $和$ \ alpha_ {0} $以及提取速率$ \ beta $和$ \ beta_ {0} $对一个汽车的密度和通量的影响尺寸之路。进入站点$ i_ {1} $(在退出站点$ i_ {2} $移动)的优先级归因于进入(吸收)到链中的粒子。在($ \ beta_ {0},\ alpha_ {0} $)和($ \ beta,\ alpha_ {0} $)计划中建立了相图。对于$ \ alpha = 0.1 $,它们在流行为中显示了三种不同的拓扑。第一个通过改变$ \ alpha_ {0} $对应于四个区域的存在;即低密度相(LDP),中密度相(IDP),平稳电流相(PCP)和高密度相(HDP)。在第二种拓扑中,中间密度阶段消失了。第三种拓扑仅显示两个区域。即低密度相和高密度相。对于较小的$ \ alpha $,通过增加$ \ beta $,(IDP)和(PCP)消失。当增加$ \ alpha $时,对于$ \ beta $和$ \ beta_ {0} $的低值,对应于一个阶段(HDP)的第四拓扑出现

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