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Discretised link travel time models based on cumulative flows: Formulations and properties

机译：基于累积流量的离散链路旅行时间模型：公式和属性

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In the research area of dynamic traffic assignment, link travel times can be derived from link cumulative inflow and outflow curves which are generated by dynamic network loading. In this paper, the profiles of cumulative flows are piecewise linearized. Both the step function (SF) and linear interpolation (LI) are used to approximate cumulative flows over time. New formulations of the SF-type and Li-type link travel time models are developed. We prove that these two types of link travel time models ensure first-in-first-out (FIFO) and continuity of travel times with respect to flows, and have other desirable properties. Since the Li-type link travel time model does not satisfy the causality property, a modified Li-type (MLI-type) link travel time model is proposed in this paper. We prove that the MLI-type link travel time model ensures causality, strong FIFO and travel time continuity, and that the MLI-type link travel time function is strictly monotone under the condition that the travel time of each vehicle on a link is greater than the free flow travel time on that link. Numerical examples are set up to illustrate the properties and accuracy of the three models.
机译：在动态交通分配的研究领域，可以通过动态网络负载生成的链路累积流入和流出曲线得出链路旅行时间。在本文中，累积流量的分布是分段线性化的。阶跃函数（SF）和线性插值（LI）均用于估算随时间变化的累积流量。开发了SF型和Li型链接行程时间模型的新公式。我们证明这两种类型的链接旅行时间模型可确保先进先出（FIFO）和旅行时间相对于流量的连续性，并具有其他理想的属性。由于Li型链接旅行时间模型不满足因果性质，因此提出了一种改进的Li型（MLI类型）链接旅行时间模型。我们证明了MLI型链接旅行时间模型可确保因果关系，强大的FIFO和旅行时间连续性，并且在链接上每辆车的旅行时间大于该链接上的自由流动时间。设置数值示例来说明这三个模型的特性和准确性。

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