運輸網路均衡模式
Transportation Network Equilibrium Modeling and Analysis
| 節 | 週三 |
|---|---|
2 09:00–09:50 | 運輸網路均衡模式 A904（光復） 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
本課程將介紹運輸路網的模式化及分析方法,前半部分探討路網均衡的原理及交通量指派的模式,後半部分探討運輸路網模式在不同問題上的延伸及分析技巧。課題包括:1. 運輸路網均衡模式與運輸規畫的關係;2. 使用者均衡及系統最佳化;3. 均衡模式的建構及演算法;4. 運輸規劃及運輸管理上的應用(如擁擠收費、OD矩陣推估、路網可靠度分析、路網設計);5. 使用程式及軟體求解大型路網的問題。 Course Descriptions and Objectives: This course provides an introduction to the concept, methodology and mathematics for the modeling and analysis of transportation network. The first half of the course will discuss the principles underlying network equilibrium and traffic assignment models. The second half of the course will discuss some advanced topics, extensions, and practical situations related to transportation network modeling. A student completing this course will be able to: 1. Understand the roles of transportation network and equilibrium modeling in transportation planning 2. Analyze transportation systems under user equilibrium and system optimal 3. Formulate and apply various extensions of transportation network equilibrium models and algorithms 4. Understand how the models can be applied to transport planning and management. 5. Use software (Excel and MATLAB) or packages to analyze large scale transportation networks.
Calculus 微積分, Operations Research 作業研究
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‧ Assignment: 40% ‧ Mid-term exam : 30% ‧ Final exam (presentation): 30%
Transportation Network Basics
‧ Network descriptions, Link performance function, Network representation, ‧ Concept of network equilibrium, Wardrop’s principle, Braess’s paradox ‧ Basic concepts in minimization problems
- 講授：
- 12
User Equilibrium and Traffic Assignment Problem
‧ Formulation (Assumptions, Equivalency conditions, Uniqueness conditions) ‧ Review of some optimization algorithms (Interval reduction method, Convex combination method, Method of Successive Averages) ‧ Solving for user equilibrium (Incremental Assignment, MSA and Frank-Wolfe algorithms)
- 講授：
- 12
Extensions of User equilibrium models
‧ User equilibrium with variable demand ‧ Stochastic user equilibrium ‧ Road pricing and system optimal
- 講授：
- 12
Other topics
‧ Trip matrix estimation ‧ Network reliability and vulnerability ‧ Transportation network design
- 講授：
- 12
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction |
| 第 2 週 | Transportation network descriptions |
| 第 3 週 | Transportation network equilibrium |
| 第 4 週 | Review of optimization techniques |
| 第 5 週 | Traffic assignment problem formulation |
| 第 6 週 | Traffic assignment problem formulation (cont.) |
| 第 7 週 | Solving the traffic assignment problem |
| 第 8 週 | Solving the traffic assignment problem (cont.) |
| 第 9 週 | Midterm Exam |
| 第 10 週 | User equilibrium with variable demand |
| 第 11 週 | Stochastic user equilibrium |
| 第 12 週 | Road pricing and system-optimal |
| 第 13 週 | Trip matrix estimation |
| 第 14 週 | Network reliability and vulnerability |
| 第 15 週 | Network reliability and vulnerability (cont.) |
| 第 16 週 | Transportation network design |
| 第 17 週 | Transportation network design (cont.) |
| 第 18 週 | Final Exam (Presentation) |
- Sheffi, Y, (1985) Urban Transportation Networks - Equilibrium Analysis with Mathematical Programming Methods, Prentice-Hall, Inc. - Bell, MGH and Iida, Y. (1997) Transportation Network Analysis. Wiley. - Lecture notes and Selected journal papers.
- 地點
- A811
- 時間
- 3GH
- 聯絡方式
- kiwong@mail.nctu.edu.tw