论文标题
带有交界处的客运铁路线上的交通最大建模：基本图和动态控制
Max-plus modeling of traffic on passenger railway lines with a junction: fundamental diagram and dynamic control
论文作者
论文摘要
本文提出了具有一个连接的地铁线的数学交通模型和控制法律。这些模型基于[12，14]中针对线性地铁线（无连接）开发的模型。使用离散的事件流量模型来描述火车动力学。考虑了两次限制。第一个在火车跑步和居住时间上施加了下限。第二个修复了两列火车之间的安全分离时间的下限。提出了连接点上火车动力学的模型，以及火车运行和停留时间的控制法律，这是乘客旅行需求的函数。这些模型中的大多数都是在最大代数（多项式矩阵代数）中写成的线性系统，允许表征固定体制和交通相图的推导。
This thesis proposes mathematical traffic models and control laws for metro lines with one junction. The models are based on the ones developed for linear metro lines (without junction) in [12, 14]. The train dynamics are described with a discrete event traffic model. Two time constraints are considered. The first one imposes lower bounds on the train run and dwell times. The second one fixes a lower bound on the safe separation time between two trains. A model of the train dynamics on the junction is proposed, as well as control laws for the train run and dwell times, as a function of the passenger travel demand. Most of these models are written as linear systems in the max-plus algebra (polynomial matrix algebra), which permits the characterization of the stationary regime, and the derivation of traffic phase diagrams.
