含額外限制高速公路多目標起迄旅次矩陣推估模型之研究

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李長晃(Chang-Hwang Lee) 查詢紙本館藏

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論文名稱

含額外限制高速公路多目標起迄旅次矩陣推估模型之研究
(A Side-Constrained Highway Multiple Objective Origin-Destination Estimation Problem)

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摘要(中)

摘要
藉由匝道儀控調節進入高速公路流量，維持高速公路主線上車流在一定的服務水準，是高速公路解決交通擁擠的主要方法之一。而目前在高速公路所實施之匝道儀控，仍屬固定時制計畫且大多僅考量單一匝道為主，缺乏整體性最適化儀控策略之概念。
本研究針對如何維持高速公路主線上車流在一定之服務水準下，追求用路人均衡/雙邊限制起迄旅次選擇及極小化旅次肇事風險感認等特性，建構出多目標起迄旅次矩陣推估模型，並輔之超級網路（supernetwork）的構建、結合拉氏鬆弛法（Lagrangian Relaxation）等概念，根據用路人均衡條件（User-equilibrium condition）運用Frank-Wolfe法進行交通量指派，最後提出數值範例加以驗證之，視作高速公路在多目標下起迄對旅次量資料，期為後續雙層（bi-level）最適化匝道儀控策略動態模式研究之依據。

摘要(英)

Abstract
Ramp metering control is one of the strategies to maintain traffic flows to satisfy a certain level of service in highway. However, the most ramp metering controls nowadays focus on single ramp and are pretimed without a concern of whole system.
In the following study, we will formulate estimating multi-objective O-D matrices model based on user-equilibrium principle, the lowest travel time cost, and risk value to fit a certain level of service in highway. To make some progress to solve the problem, we suggest constructing a supernetwork and proceed with Frank-Wolfe method combining largrangian relaxation to do traffic assignment. Finally, we take resulting O-D data of numerical examples to be the basis of the further research of bi-level optimal dynamic ramp metering strategy problem.

關鍵字(中)

★ 超級網路
★ 拉氏鬆弛
★ 風險感認
★ 用路人均衡
★ 雙邊起迄旅次限制
★ 多目標

關鍵字(英)

★ Risk Perception
★ Multiple Objective
★ Lagrangian-Relaxation
★ Supernetwork
★ Doubly Origin-Destination Constraints
★ User Equilibrium

論文目次

目錄
摘要 ………………………………………………………………………….i
Abstract ……………………………………………………………………...ii
誌謝 …………………………………………………………………….….iii
目錄 ………………………………………………………………………..iv
圖目錄 …………………………………………………………………….vii
表目錄 …………………………………………………………………...viii
第一章緒論 ………………………………………………………………..1
1.1 研究動機 …………………………………………………………..1
1.2 研究目的 …………………………………………………………..4
1.3 研究假設及範圍 …………………………………………………4
1.3.1 研究假設 …………………………………………………….4
1.3.2 研究範圍 …………………………………………………….5
1.4 研究流程 …………………………………………………………..6
第二章文獻回顧 ……………………………………………………….….8
2.1 路段流量推估起迄旅次量 ………………………………………..8
2.2 靜態用路人均衡模型 ………………………………………….....11
2.3 風險與風險感認 ………………………………………………....13
2.3.1 風險的定義 ………………………………………………...13
2.3.2 風險感認 …………………………………………………...14
2.4 模糊理論 …………………………………………………………14
2.4.1 模糊理論的基本概念 ……………………………………...15
2.4.2 模糊集合與模糊數 ………………………………………...16
2.5 多目標決策理論 …………………………………………………16
2.6 起迄雙邊限制模型演算法之評估 ………………………………18
2.7 綜合評析 …………………………………………………..……..20
第三章含額外限制高速公路多目標起迄旅次矩陣推估模型 …………22
3.1 符號說明 …………………………………………………………23
3.2 含額外限制用路人均衡/雙邊限制起迄旅次選擇模式 ...………25
3.3 極小化旅次肇事風險感認模式 …………………………………28
3.4 含額外限制高速公路多目標起迄旅次矩陣推估模型 ………....31
3.4.1 含額外限制高速公路多目標起迄旅次矩陣推估模型 …..33
3.4.2 超級網路 …………………………………………………..33
3.4.3 最佳化條件 ………………………………………………...35
3.4.4 均衡條件 …………………………………………………...37
3.5 小結 ………………………………………………………………38
第四章模型驗證與分析 ………………………………………………....39
4.1 求解演算法 ………………………………………………………39
4.1.1 求解意涵 …………………………………………………...39
4.1.2 演算法步驟 ………………………………………………...43
4.2 範例測試與分析 …………………………………………………47
4.2.1 測試網路一 ………………………………………………...47
4.2.1.1 輸入資料 ……………………………………………47
4.2.1.2 測試結果 ……………………………………………48
4.2.2 測試網路二 ………………………………………………...51
4.2.2.1 輸入資料 ……………………………………………51
4.2.2.2 測試結果 ……………………………………………53
4.3 小結 ………………………………………………………………58
第五章結論與建議 ………………………………………………………59
5.1 結論 ………………………………………………………………59
5.2 建議 ………………………………………………………………60
參考文獻 …………………………………………………………………62
個人簡歷 …………………………………………………………………70

參考文獻

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指導教授

陳惠國(Huey-Kuo Chen)

審核日期

2005-7-18

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