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研究生:吳玫茵
研究生(外文):Wu, Mei-Yin
論文名稱:應用條件逆矩陣方法推估依時性起迄旅次矩陣
論文名稱(外文):A Conditional Inverse Approach for Inferring Time-Dependent Origin-Destination Matrices
指導教授:王中允王中允引用關係
指導教授(外文):Wang, Chung-Yung
口試委員:胡守任褚志鵬羅孝賢胡大瀛
口試委員(外文):Hu, Shou-RenChu, Chin-PengLuo, Shiaw-ShyanHu, Ta-Yin
口試日期:2011-05-20
學位類別:碩士
校院名稱:國防大學管理學院
系所名稱:資源管理及決策研究所
學門:商業及管理學門
學類:其他商業及管理學類
論文種類:學術論文
論文出版年:2011
畢業學年度:99
語文別:中文
論文頁數:110
中文關鍵詞:條件逆矩陣起迄對旅次矩陣依時性
外文關鍵詞:Conditional InverseOrigin-Destination trip MatricesTime-Dependent
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在運輸學術領域中,利用路段流量反推起迄對旅次矩陣,是近二、三十年來的重要研究課題。隨著車輛偵測器直接觀測道路車流狀況的廣泛應用,讓利用路段流量反推起迄對旅次矩陣更具實務上研究的潛力。本研究利用條件逆矩陣可對於非奇異及奇異矩陣求解逆矩陣的特性,應用於推估依時性的起迄對旅次矩陣中。研究結果顯示此求解程序能準確的反推出依時性的起迄對旅次矩陣,且能同時應用於使用者均衡及非使用者均衡條件下的路網車流狀況,較傳統的反推起迄對旅次矩陣的模型更具準確性及一般性。
In general, the link traffic flows of network are observed which resource from each trip original area and go to each trip destination area. That is, by a suitable estimation method, the time-dependent origin-destination(O-D) trip matrices may be inferred from link traffic flows. Since the use of vehicle detectors in directly observing link flows has become more common in the recent years, the method of utilizing link traffic flows to infer time-dependent O-D demands has more potential to be applied to the transportation-practice operation. In this study, we built a procedure to solve the time-dependent O-D estimation problem which adopted Conditional Inverse Matrix theory. We tested this procedure in different networks; the results showed that the estimations are pretty accurate. Compared to the traditional inferred O-D demand trips models, the model developed in this research can handle all of the link flow situations, whether the link flow is restricted by time-dependent UE conditions or not. The present study is a more general time-dependent O-D demand trips estimation method than most traditional inferred models.
第一章 緒論 1
1.1 研究背景與動機 1
1.2 研究目的 2
1.3 研究範圍及假設 3
1.4 研究方法 5
1.5 研究流程 7
第二章 文獻回顧 8
2.1 以路段流量推估起迄對旅次矩陣 8
2.2 依時性起迄旅次運輸需求推估 11
2.3 條件逆矩陣 13
2.4 小結 14
第三章 反推依時性起迄對旅次矩陣求解程序 16
3.1 反推依時性起迄對旅次矩陣與條件逆矩陣 16
3.2 建構時空路網 19
3.3 變數產生法之運用 22
3.4 應用條件逆矩陣推估依時性起迄對運輸需求 23
3.5 數值範例分析 24
3.6 小結 34
第四章 路網測試 35
4.1 二個三角形路網測試 36
4.2 Yang(1995)路網測試 39
4.2.1 Yang(1995)測試路網-情境一 40
4.2.2 Yang(1995)測試路網-情境二 45
4.2.3 Yang(1995)測試路網-情境三 50
4.2.4 Yang(1995)測試路網-情境四 55
4.2.5 Yang(1995)測試路網-情境五 59
4.3 Nguyen-Dupuis路網測試 64
4.3.1 Nguyen-Dupuis測試路網-情境一 65
4.3.2 Nguyen-Dupuis測試路網-情境二 73
4.2.3 Nguyen-Dupuis測試路網-情境三 82
4.4 軍事想定範例分析 91
4.5 小結 98
第五章 結論與建議 100
5.1 結論 100
5.2 建議 101
參考文獻 103
附錄 106
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