A new coupling rule for the Lighthill-Whitham-Richards model at merging junctions is introduced that imposes the preservation of the ratio between inflow from a given road to the total inflow into the junction. This rule is considered both in the context of the original traffic flow model and a relaxation setting giving rise to two different Riemann solvers that are discussed for merging 2-to-1 junctions. Numerical experiments are shown suggesting that the relaxation based Riemann solver is capable of suitable predictions of both, free-flow and congestion scenarios without relying on flow maximization.

翻译：本文针对汇合型交叉口处的Lighthill-Whitham-Richards模型，提出了一种新的耦合规则，该规则要求保持特定道路流入量与交叉口总流入量之间的比例关系。该规则分别在原始交通流模型及其松弛化设定的框架下进行探讨，由此推导出两种不同的黎曼解算器，并针对2合1汇合型交叉口进行了详细讨论。数值实验表明，基于松弛化方法的黎曼解算器能够在不依赖流量最大化的前提下，对自由流与拥堵两种交通场景作出合理预测。