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Equilibrium horizontal queues and a paradox of tolling
Transportation Research Part B: Methodological ( IF 5.8 ) Pub Date : 2025-01-24 , DOI: 10.1016/j.trb.2025.103152
Lewis J. Lehe, Ayush Pandey
Transportation Research Part B: Methodological ( IF 5.8 ) Pub Date : 2025-01-24 , DOI: 10.1016/j.trb.2025.103152
Lewis J. Lehe, Ayush Pandey
This paper shows that, in a static traffic model with elastic demand, increasing a toll may raise the equilibrium trip rate through a network. The result is obtained in models with horizontal queues and rules about merges and diverges assumed in the Cell Transmission Model for Network Traffic. The paper looks at three networks: (i) a road with a fixed bottleneck at the end; (ii) a road with a “triggerneck” diverge; and (iii) a ring road with two on-ramps and two off-ramps. In the triggerneck network, a toll increase may raise the total trip rate when traffic using an exit with bottleneck has a lower value of travel time savings than traffic bypassing the bottleneck. In the ring road, a toll increase may raise the total trip rate when the initial equilibrium is hypercongested. The derivations use an extensible “recipe” for analysis of networks with horizontal queues. Many diagrams and numerical examples are provided to illustrate.
中文翻译:
平衡水平队列和收费悖论
本文表明,在具有弹性需求的静态流量模型中,增加通行费可能会提高通过网络的均衡行程率。结果是在具有水平队列的模型以及网络流量的 Cell Transmission Model 中假设的有关合并和发散的规则的模型中获得的。本文着眼于三个网络:(i) 一条末端有固定瓶颈的道路;(ii) 带有“扳机颈”分叉的道路;以及 (iii) 一条带有两个入口匝道和两个出口匝道的环形公路。在 triggerneck 网络中,当使用有瓶颈的出口的交通比绕过瓶颈的交通节省的行驶时间价值更低时,增加通行费可能会提高总行程率。在环路中,当初始平衡高度拥堵时,通行费增加可能会提高总行程率。这些派生使用可扩展的 “配方” 来分析具有水平队列的网络。提供了许多图表和数值示例来说明。
更新日期:2025-01-24
中文翻译:
![](https://scdn.x-mol.com/jcss/images/paperTranslation.png)
平衡水平队列和收费悖论
本文表明,在具有弹性需求的静态流量模型中,增加通行费可能会提高通过网络的均衡行程率。结果是在具有水平队列的模型以及网络流量的 Cell Transmission Model 中假设的有关合并和发散的规则的模型中获得的。本文着眼于三个网络:(i) 一条末端有固定瓶颈的道路;(ii) 带有“扳机颈”分叉的道路;以及 (iii) 一条带有两个入口匝道和两个出口匝道的环形公路。在 triggerneck 网络中,当使用有瓶颈的出口的交通比绕过瓶颈的交通节省的行驶时间价值更低时,增加通行费可能会提高总行程率。在环路中,当初始平衡高度拥堵时,通行费增加可能会提高总行程率。这些派生使用可扩展的 “配方” 来分析具有水平队列的网络。提供了许多图表和数值示例来说明。