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首页> 外文期刊>Transportation Research Part B: Methodological >The traffic statics problem in a road network
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The traffic statics problem in a road network

机译：道路网络中的交通静态问题

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In this study we define and solve the traffic statics problem in an open diverge-merge network based on a multi-commodity kinematic wave model, whose entropy conditions are given by invariant junction flux functions derived from macroscopic merging and diverging rules. In this problem, we are interested in finding stationary states on all links when origin demands, destination supplies, and route choice proportions are constant. After discussing the properties of four types of stationary states on a road link and presenting stationary entropy conditions at both the merging and diverging junctions, we derive a system of algebraic equations as necessary conditions for all 16 combinations of stationary states on the two intermediate links. Under different network conditions in road capacities, route choice proportions, and merging priorities, we analytically show that the traffic statics problem always admits stationary solutions, which, however, may not be unique. In particular, such stationary solutions exist even under network conditions when an initially empty diverge-merge network can settle in persistent periodic oscillations after a long time. In the future, we will be interested in discussing the stability property of the stationary states and studying the traffic statics problem in general networks. Analytical insights from the simpler traffic statics problems would be helpful for understanding complex traffic dynamics in a road network.
机译：在这项研究中，我们基于多商品运动波模型定义并解决了开放式分歧合并网络中的交通静态问题，其熵条件由宏观合并和分歧规则得出的不变结通量函数给出。在这个问题中，我们有兴趣在始发需求，目的地供应和路线选择比例恒定的情况下在所有链路上找到稳定状态。在讨论了道路连接线上四种类型的静态状态的性质并给出了合并和发散交汇处的静态熵条件之后，我们推导出了代数方程组，作为两个中间链接上所有16种静态状态组合的必要条件。在道路容量，路线选择比例和合并优先级的不同网络条件下，我们分析表明，交通静力学问题始终允许采用固定解，但是，这可能不是唯一的。尤其是，即使在网络条件下，当最初为空的发散合并网络可能在很长一段时间后仍保持持续的周期性振荡时，这种固定解仍然存在。将来，我们将有兴趣讨论稳态的稳定性，并研究通用网络中的流量静态问题。来自更简单的交通静态问题的分析见解将有助于理解道路网络中的复杂交通动态。

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