摘 要 本論文主要研究公車間距的振盪行為及所受紅綠燈的影響。我們經由實驗收集公車與下一輛公車之間抵達公車站的時間間隔,然後分析台北市(台灣)的公車其統計特性。 描述公車與下一輛公車之間的相互關係,我們使用著名的Nagel-Schreckenberg cellular automaton(CA)。我們研究振盪的原因並且更改NaSch模型,將一個紅綠燈放置在公車站附近,並且使用數學分析振盪的主要因素。 研究發現程式加入紅綠燈,確實有振盪的行為,我們發現公車的密度跟速度都不是造成振盪的原因。此外,由數學分析證明振盪的行為是不成功的。
Abstract This thesis studied the headway oscillation of bus transport affected by the red/green light. We collected time intervals between subsequent bus arrivals and analyzed the statistical properties of the city bus transport in Taipei (Taiwan). To describe the correlation between subsequent buses, we used the well-known Nagel-Schreckenberg cellular automaton(CA). We revised the model to reproduce the headway oscillation of bus transport. We set up a red/green light near the bus stop in the model, and tried to derive the results analytically. Numerically, we found that the headway oscillations were caused by the red/green light. Density and velocity are irrelevant. However, we fail to obtain the analytical result.