Mathematical Core Technology for a Traffic Flow System Using Model Predictive Control for Large and Complex Networks

摘要

Traffic jams have caused a lot of adverse effects on our society. An important theme of the FIRST Aihara Innovative Mathematical Modeling Project which is a big national project for Japan, is the establishment of mathematical core technologies regarding traffic control. We study the real-time optimization of large scale and complex systems along with controls for multi-scalability between micro-scale objects that correspond to vehicles and macro-scale ones that correspond to traffic flow. In this article, we focus on mathematical models. We survey various kinds of mathematical models and give a mathematical meaning to the relationship among the models.