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姓名 黃士沛(Shih-Pei Huang)  查詢紙本館藏   畢業系所 土木工程學系
論文名稱 不同決策變數下動態用路人均衡路徑選擇模型之研究
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摘要(中) 本研究依據Chen and Hsueh (1996)以路段流入率為決策變數所構建之動態用路人均衡路徑選擇模型為基礎,考慮不同問題特性,應用不同決策變數進行動態用路人均衡路徑選擇問題之構建,在此分別就路段流出率與路徑流量兩種不同決策變數進行探討。在以路徑流量為決策變數之動態用路人均衡路徑選擇模型下,本研究除了證明此模型對等於動態用路人均衡條件外,並利用不動點理論(Fixed Point Theorem)進行變分不等式的轉換,以提出此一變分不等式解的存在性證明。
因應不同決策變數模型,本研究提出相對應演算法以進行問題求解,並透過數值例,驗證此模型及演算法的正確性。另外,在以路徑流量為決策變數之動態用路人均衡路徑選擇模型上,分別考慮路段流入率容量限制與路段流出率容量限制的影響,以證實路徑流量模型在動態用路人均衡路徑選擇問題上的適用性。
摘要(英) As follow-up study of Chen and Hsueh (1996) base on link inflow being decision variable to create Dynamic User-Optimal Route Choice Model, this thesis takes into account of figures and applies different decision variables to create dynamic user-optimal route choice problem, discussing by link inflow and route flows. Based on route flows be decision variable, this thesis not only verifies the model be equal to equilibrium conditions but also offers the proof of existence by transferring from Fixed Point Theorem to variational inequality.
To match up different decision variables, this thesis supplies several algorithms and proves its correction with numerical examples. Besides, based on dynamic user-optimal route choice model with route flows being decision variables, it considers individually link inflow capacity and exit flow capacity, to verify the suitability of dynamic user-optimal route choice problem with route flows.
關鍵字(中) ★ 動態用路人均衡路徑選擇
★ 不動點理論
關鍵字(英) ★ dynamic user-optimal route choice
★ Fixed Point Theorem
論文目次 第一章、緒論1
1.1 研究動機1
1.2 研究目的2
1.3 研究範圍與假設2
1.3.1 研究範圍2
1.3.2 研究假設3
1.4 研究流程4
第二章、文獻回顧5
2.1 動態用路人均衡路徑選擇模型5
2.2 路段容量限制12
第三章、以路段流出率為決策變數之動態用路人均衡路徑
選擇模型18
3.1 模型構建19
3.1.1 均衡條件19
3.1.2 模型建立19
3.1.3 對等性證明21
3.2 求解演算法24
3.3 範例測試26
3.3.1 輸入資料26
3.3.2 測試結果27
3.3.3 模型比較與結果分析28
3.4 小結35
第四章、以路徑流量為決策變數之動態用路人均衡路徑選
擇模型36
4.1 模型構建36
4.1.1 均衡條件36
4.1.2 模型建立37
4.1.3 對等性證明38
4.2 動態路徑旅行成本41
4.3 均衡解之存在性44
4.4 求解演算法48
4.4.1 巢化梯度投影法(Nested Gradient Projection Method)51
4.4.2 流線投影法(Streamlined Projection Method)54
4.5 範例測試60
4.5.1 輸入資料60
4.5.2 結果分析62
4.5.3 運算績效之比較66
4.6 小結69
第五章、路段容量限制動態用路人均衡路徑選擇模型70
5.1 模型構建71
5.1.1 均衡條件71
5.1.2 模型建立72
5.1.3 對等性證明74
5.2 一般化路徑旅行成本77
5.3 均衡解之存在性79
5.4 求解演算法79
5.5 範例測試85
5.5.1 輸入資料85
5.5.2 結果分析86
5.6 循環不收斂現象88
5.7 修正演算法及其效率93
5.7.1 修正拉氏-梯度投影法93
5.7.2 範例測試96
5.8 路段流出率容量限制101
5.8.1 均衡條件101
5.8.2 模型構建I102
5.8.3 模型構建II105
5.8.4 範例測試105
5.8.5 運算績效之比較112
5.9 小結113
第六章、結論與建議115
6.1 結論115
6.2 建議117
參考文獻119
符號說明123
參考文獻 1. 王中允,1999,路段容量限制動態用路人旅運選擇模型之研究,國立中央大學土木工程學系博士論文,中壢。
2. 張美香,1998,動態旅運選擇模型之課題研究,國立中央大學土木工程學系博士論文,中壢。
3. 陳惠國,張美香,1997,「離散型動態用路人最佳化路徑選擇模型之不收斂現象探討」,中華民國第二屆運輸網路研討會論文集,中壢,33-44。
4. 張佳偉,1997,路徑變數產生法求解動態交通量指派模型之效率比較,國立中央大學土木工程學系碩士論文,中壢。
5. 薛哲夫,1996,明確型動態旅運選擇模型之應用,國立中央大學土木工程學系碩士論文,中壢。
6. 陳璐芳,1992,變分不等式在有限空間上的數值方法,國立清華大學應用數學研究所碩士論文,新竹。
7. Bertsekas, D. P., 1976, “On the Goldstein-Levitin-Polyak Gradient Projection Method,” IEEE Transactions on Automatic Control, ac21, 174-184.
8. Border, K. C., 1989, Fixed Point Theorems with Applications to Economics and Game Theory, Cambridge University Press, Cambridge, New York.
9. Chen, H. K. and Chang, M. S., 2000, “Dynamic User-Optimal Departure Time/Route Choice Problem with Time-Window,” Journal of the Chinese Institute of Engineers, 23, 71-81.
10. Chen, H. K. and Wang, C. Y., 1999a, “Dynamic Capacitated User-Optimal Route Choice Problem,” Transportation Research Record 1667, 16-24.
11. Chen, H. K., 1999, Dynamic Travel Choice Models: A Variational Inequality Approach, Springer-Verlag, Berlin.
12. Chen, H. K. and Wang, C. Y., 1999b, “Dynamic User-Optimal Route Choice Problem with First-In-First-Out Requirement,” Journal of Operations Research (Submitted).
13. Florian, M. and Spiess, H., 1982, “The Convergence of Diagonalization Algorithms for Asymmetric Network Equilibrium Problems,” Transportation Research, 16B, 477-483.
14. Friesz, T. L., Bernstein, D. and Stough, R., 1996, “Dynamic Systems, Variational Inequalities and Control Theoretic Models for Predicting Time-Varying Urban Network Flows,” Transportation Science, 30, 14-31.
15. Friesz, T. L., Tobin, R. L. and Wie, B. W., 1994, “The Augmented Lagrangian Method for Solving Dynamic Network Traffic Assignment Models in Discrete Time,” Transportation Science, 28, 204-220.
16. Friesz, T. L., Bernstein, D., Smith, T. E., Tobin, R. L. and Wie, B. W., 1993, “A Variational Inequality Formulation of Dynamic Network User Equilibrium Problem,” Operations Research, 41, 179-191.
17. Friesz, T. L., Luque, F. J., Tobin, R. L. and Wie, B.W., 1989, “Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem,” Operations Research, 37, 893-901.
18. Kachroo, P. and Ozbay, K., 1998, “Solution to the User Equilibrium Dynamic Traffic Routing Problem Using Feedback Linearization,” Transportation Research, 32B, 343-360.
19. Karamardian, S., 1974, Fixed Points Algorithms and Applications, Academic Press, Inc., New York.
20. Larsson, T. and Patriksson, M., 1995, “An Augmented Lagrangean Dual Algorithm for Link Capacity Side Constrained Traffic Assignment Problems,” Transportation Research, 29B, 433-455.
21. Nagurney, A., 1993, Network Economics: A Variational Inequality Approach, Kluwer Academic Publishers, Boston.
22. Patriksson, M., 1994, The Traffic Assignment Problem: Models and Methods, Utrecht, The Netherlands.
23. Ran, B. and Boyce, D. E., 1994, Dynamic Urban Transportation Network Models: Theory and Implications for Intelligent Vehicle Highway Systems, Lecture Notes in Economics and Mathematical Systems 417, Springer-Verlag, New York.
24. Ran, B., Rouphail, N. M., Tarko, A. and Boyce, D E., 1997, “Toward a Class of Link Travel Time Functions for Dynamic Assignment Models on Signalized Networks,” Transportation Research, 31B, 277-290.
25. Sheffi, Y., 1984, Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods, Prentice- Hall, Inc., Englewood Cliffs.
26. Singh, S., Watson, B. and Srivastava, P., 1997, Fixed Point Theory and Best Approximation: The KKM-map Principle, Kluwer Academic, Boston.
27. Smith, M. J., 1993, “A New Dynamic Traffic Model and the Existence and Calculation of Dynamic User Equilibria on Congested Capacity-Constrained Road Networks,” Transportation Research, 27B, 49-63.
28. Wie, B. W., Tobin, R. L., Bernstein, D. and Friesz, T. L., 1995, “A Comparison of System Optimum and User Equilibrium Dynamic Traffic Assignments with Schedule Delays,” Transportation Research, 3C, 389-411.
29. Wie, B. W., Tobin, R. L., Bernstein, D. and Friesz, T. L., 1995, “A Discrete Time, Nested Cost Operator Approach to the Dynamic Network User Equilibrium Problem,” Transportation Science, 29, 79-92.
30. Wie, B. W., Tobin, R. L., Bernstein, D., Smith, T. E and Friesz, T. L., 1993, “A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem,” Operations Research, 41, 179-191.
31. Wie, B.W., Friesz, T. L. and Tobin, R. L., 1990, “Dynamic User Optimal Traffic Assignment On Congested Multidestination Networks,” Transportation Research, 24B, 431-442.
32. Wu, J. H., Chen, Y. and Florian, M., 1998, “The Continuous Dynamic Network Loading Problem: A Mathematical Formulation and Solution Method,” Transportation Research, 32B, 173-188.
33. Yang, H. and Qiang, M., 1998, “Departure Time, Route Choice and Congestion Toll in a Queuing Network with Elastic Demand,” Transportation Research, 32B, 247-260.
34. Yao, J. C. and Guo, J. S., 1994, “Variational and Generalized Variational Inequalities with Discontinuous Mappings,” Journal of Mathematical Analysis and Application, 182, 371-392.
35. Yao, J. C. and Guo, J. S., 1994, “Variational Inequalities with Nonmonotone Operators,” Journal of Optimization Theory and Applications, 80, 63-74.
指導教授 陳惠國(Huey-Kuo Chen) 審核日期 2000-7-13
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