In dynamic traffic assignment problems, travelers choose routes that minimize their cost of traveling to their destination. In traditional continuum models, travelers have a global perception of traffic; in this study, two novel reactive route-choice strategies are devised in which travelers have a local perception of traffic. In Strategy A, travelers identify a set of feasible temporary destinations that are equidistant from their final destination, and then choose an optimal path within the local perception region that minimizes their cost of traveling to the temporary destination set. In Strategy B, travelers identify a direct path that they can follow to move closer to their final destination within a short, fixed time. These route-choice strategies are used to formulate complete continuum dynamic models for traffic flows in an urban city that consist of a conservation law and a set of eikonal equations or optimization problems involving ordinary differential equations. High-order numerical schemes and suitable solution algorithms are applied to solve these equations on unstructured triangular meshes. Numerical examples are also presented to compare the novel local route-choice strategies with traditional global strategies.

中文翻译：

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具有新颖的城市本地路线选择策略的连续动态交通模型

在动态交通分配问题中，旅行者选择能够最小化到达目的地的成本的路线。在传统的连续模型中，旅行者对交通有全局的感知；在这项研究中，设计了两种新颖的反应性路线选择策略，其中旅行者对当地的交通有感知。在策略A中，旅行者确定一组与最终目的地等距的可行临时目的地，然后在局部感知区域内选择一条最佳路径，使到达临时目的地集的旅行成本最小化。在策略 B 中，旅行者确定一条可以遵循的直接路径，以便在短时间内、固定的时间内更接近最终目的地。这些路线选择策略用于制定城市交通流的完整连续动态模型，该模型由守恒定律和一组程函方程或涉及常微分方程的优化问题组成。应用高阶数值格式和合适的求解算法来求解非结构化三角网格上的这些方程。还提供了数值例子来比较新颖的局部路径选择策略与传统的全局策略。