多路徑幹道號誌控制最佳化模式之時差設計

Abstract

本研究之核心為建構一套多路口群組幹道號誌續進最佳化時差模式並針對多條路徑在此幹道上的續進作為考量因素。在幹道續進的議題上，過去皆僅探討主線上雙向車流續進的問題，然而，本研究探討的則是在幹道號誌時制設計中，若有多條路徑皆有大量車流時，能令兩條或兩條以上路徑的車流同時能達到續進效果作為目的，而模式的建構是以MAXBAND模式作為發展基礎，並假設號誌時制設計中的時相分配、綠燈時比以及週期長度不變，目標為最大化多條路徑的續進帶寬，以此建立一套混合整數線性規劃數學模式作時差的設計來解決多路徑的續進議題。同時也增加Gartner在MAXBAND模式發展出的各路口續進帶寬不同的議題放入此模式，演算法則是以分支定限法作為求解的方式，最後以一個實際路網的例子將求解得到的結果以TSIS作為模擬平台分析所設計的時差並且有良好的績效。本研究藉由建立一套數學模式並進行求解取得時差來解決多條路徑在單一幹道上的續進問題，以此來提升重要路徑的績效。

The core of this study is to design an offset by constructing and solving a multi-based arterial signal control optimization model. Existing models for arterial signal control focusing on maximizing the progression for two-way through traffic flows cannot adequately account for some heavy-path flows that need to take multi turning movements along the arterial. In this paper we present a new optimization model for more than two paths needed to be considered about progression. The proposed model is a direct extension of MAXBAND under a predetermined phasing plan. The phase sequence, green split and cycle time which are fixed is our assumption. Our objective function is to maximize the multi-path green bands. We build a mixed integer linear programming (MILP) model for an offset design for solving this kind of problem. In addition, we extend the model by adding the multi-band on each intersection and this ideal comes from Gartner. The algorithm we used is branch-and-bound. The results of extensive numerical investigation with field data are used to analysis the performance of our offset design. In a few word, this study developed a math model for an offset design for multi-path based arterial signal control optimization model which has a better performances on the critical paths.