先進先出動態旅行時間函數以及起點基礎之交通量指派演算法之研究

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姓名

莊英鴻(Ying-Hong Zhuang) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

先進先出動態旅行時間函數以及起點基礎之交通量指派演算法之研究
(First-in-first-out Dynamic Travel Time Functions and Origin-based Tarffic Assignment Algorithm)

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摘要(中)

本研究利用含先進先出之路段旅行時間成本函數，應用於動態用路人均衡模型之中，並結合OBTAIN法於動態用路人均衡演算法中，以測試例檢測其正確性。
本研究利用Carey(2003)所推導出路段旅行時間成本函數，結合Chen and Hsueh(1996)所提出之觀念，將流出率、路段車輛數轉成流入率之型式，利用巢化對角法之方法求解動態用路人均衡模型，並驗証其結果是否符合先進先出條件。

摘要(英)

We employed this type of travel time functions with first-in-first-out (FIFO) property to resolve dynamic traffic assignment problems, and combine OBTAIN algorithm with the algorithm of dynamic traffic assignment. We will examine the correction of test example.
Here we applied this type of travel time functions showed by Carey(2003), and then combine the function with nested diagonalization algorithm of dynamic traffic assignment by Chen and Hsueh(1996). And we will convert outflow variable and number of vehicle into functions of inflow variable. After we should confirm the result if matched the FIFO condition.

關鍵字(中)

★ 起點為基礎之演算法
★ 旅行時間函數
★ 先進先出

關鍵字(英)

★ OBTAIN
★ travel time function
★ F.I.F.O.

論文目次

摘要 i
Abstract ii
目錄 iv
圖目錄 vi
表目錄 vii
第一章緒論 1
1.1 研究動機 1
1.2 研究目的 1
1.3 研究範圍與假設 2
1.3.1 研究假設 2
1.3.2 研究範圍與內容 2
1.4 研究流程 3
第二章文獻回顧 4
2.1 用路人均衡模型演算法 4
2.1.1 Frank-Wolfe演算法 4
2.1.2 梯度投影法 4
2.1.3 OBTAIN演算法 5
2.1.4 演算法比較 5
2.2 動態用路人均衡模型 6
2.3 路段旅行時間成本函數 7
第三章 OBTAIN求解演算法 13
3.1 模式建立 13
3.2 最佳化條件 13
3.3 限制性子路網 16
3.4 以起點為基礎之路段流量比例 17
3.5 演算法流程 22
3.6 小結 23
第四章路段先進先出之條件 24
4.1 先進先出之條件 24
4.2 先進先出路段成本函數 25
4.3 求解演算法 27
4.3.1 動態交通量指派模型 27
4.3.2 演算法步驟: 28
4.4 測試例 29
4.4.1 不含先進先出條件之成本函數 30
4.4.2 含先進先出條件之成本函數 31
4.5 小結 33
第五章結論與建議 34
5.1 結論 34
5.2 建議 34
參考文獻 35
符號說明 38

參考文獻

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指導教授

陳惠國(Huey-Kuo Chen)

審核日期

2006-7-23

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