基于实际数据的宏观基本图磁滞现象及分析

Phenomenon and Analysis on Hysteresis of Macro Basic Graph Based on Actual Data

宏观基本图理论为路网管理研究提供了新的简单的数学工具,可大大减少路网分析的复杂性。宏观基本图磁滞现象是这一理论的基本问题之一。利用上海市快速路网的实际数据,首先验证了宏观基本图的存在,并选取典型路段的检测器,通过小范围的集计,可以归纳得出宏观基本图磁滞的原因。研究发现,检测器之间拥堵的不同步是造成磁滞的主要原因之一,磁滞圈的大小与拥堵的持续时间有关。

The macro basic graph theory is a new simple mathematic tool for the management study of road network,and can greatly decrease the connplexity to analyze the road network.The hysteresis phenomenon of macro basic graph is one of the basic issues in this theory.According to the actual data of the express road network in Shanghai,the article proves the existence of macro basic graph.The hysteresis cause of macro basic graph can be summarized from the selection of detectors in the typical road sections in the small range of collection and statistics.The study shows that the non-synchronization of congestion among detectors is one of the main reasons causing the hysteresis.The range of hysteresis loop is related to the duration of congestion.