Translated Titles



嚴國基(Kuo-Chi Yen);陳惠國(Huey-Kuo Chen)

Key Words

道路定價問題 ; 雙層規劃問題 ; 依時性用路人路徑選擇最佳化問題 ; Road pricing problem ; Bi-level planning problem ; Time-dependent user-optimal route choice problem



Volume or Term/Year and Month of Publication

46卷4期(2017 / 12 / 30)

Page #

343 - 375

Content Language


Chinese Abstract


English Abstract

Rapid growth in private vehicle ownership has led to congestion and inadequate service on freeways. The authorities should promote the road pricing strategy in a systematic view that accurately reflects the cost of using the freeway during peak hours is required. The pricing strategy must achieve the "alternative effect" which includes departure time replacement, path substitute and modes alternative. This study formulate the time-dependent bi-level model for road pricing on freeways which integrates time dimension, route choice and mode choice factors. The upper level objective of the model is to minimize the total network costs. The objective of the lower level is to apply the time-dependent user-optimal mode choice/departure time/route choice model with side-constraints to analyze the behavior of the travelers under optimal toll rates. The users will be affecting by efficiency road pricing and changing the behavior. The results can be used as reference in establishing public policies that facilitate effective toll rates.

Topic Category 工程學 > 交通運輸工程
社會科學 > 管理學
  1. 陳惠國、李宗益、張佳偉(2002)。路段流出率與路段流入率容量限制之比較─以動態用路人均衡路徑選擇模型為例。運輸計劃季刊,31(3),475-494。
  2. 褚志鵬(2001)。主線收費及匝道收費政策下之擁擠定價分析。運輸計劃季刊,30(3),513-537。
  3. 褚志鵬、葉岦陞(2001)。道路擁擠收費政策在考量異質旅次之靜態分析。運輸計劃季刊,30(1),33-61。
  4. 賴禎秀、吳志仁(2002)。高速公路實施匝道電子收費下最佳費率與經濟效益評估之研究。運輸計劃季刊,31(1),37-57。
  5. Astarita, V.(1995).Flow Propagation Description in Dynamic Network Loading Models.Proceedings of IV International Conference on Application of Advanced Technologies in Transportation Engineering (AATT)
  6. Bar-Gera, H.,Hellman, F.,Patriksson, M.(2013).Computational Precision of Traffic Equilibria Sensitivities in Automatic Network Design and Road Pricing.Transportation Research Part B: Methodological,47(1),485-500.
  7. Boyce, D.,Mattsson, L. G.(1999).Modeling Residential Location Choice in Relation to Housing Location and Road Tolls on Congested Urban Highway Networks.Transportation Research Part B: Methodological,33(8),581-591.
  8. Carey, M.(1986).A Constrain Qualification for a Dynamic Traffic Assignment Model.Transportation Science,20(1),55-58.
  9. Carey, M.,Ge, Y. E.(2003).Comparing Whole-Link Travel Time Models.Transportation Research Part B: Methodological,37(10),905-926.
  10. Carey, M.,Humphreys, P.,McHugh, M.,McIvor, R.(2014).Extending Travel-Time Based Models for Dynamic Network Loading and Assignment, to Achieve Adherence to First-In-First-Out and Link Capacities.Transportation Research Part B: Methodological,65(7),90-104.
  11. Carey, M.,McCartney, M.(2002).Behavior of a Whole-Link Travel Time Model Used in Dynamic Traffic Assignment.Transportation Research Part B: Methodological,36(1),83-95.
  12. Chen, H. K.(1999).Dynamic Travel Choice Models: A Variational Inequality Approach.Berlin:Springer-Verlag.
  13. Chen, H. K.,Hsueh, C. F.(1998).A Model and an Algorithm for the Dynamic User-Optimal Route Choice Problem.Transportation Research Part B: Methodological,32(3),219-234.
  14. Chen, H. K.,Hsueh, C. F.(1998).Discrete-Time Dynamic User-Optimal Departure Time/Route Choice Model.Journal of Transportation Engineering,124(3),246-254.
  15. Chen, H. K.,Wang, C. Y.(1999).Dynamic Capacitated UserOptimal Route Choice Problem.Transportation Research Record: Journal of the Transportation Research Board,1667(3),16-24.
  16. Dafermos, S.(1988).Traffic Equilibrium and Variational Inequalities.Transportation Science,14(1),42-54.
  17. Dial, R. B.(2006).A Path-Based User-Equilibrium Traffic Assignment Algorithm that Obviates Path Storage and Enumeration.Transportation Research Part B: Methodological,40(10),917-936.
  18. Friesz, T. L.,Bernstein, D.,Smith, T. E.,Tobin, R. L.,Wie, B. W.(1993).A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem.Operations Research,41(1),179-191.
  19. Friesz, T. L.,Bernstein, D.,Suo, Z.,Tobin, R. L.(2001).Dynamic Network User Equilibrium with State-Dependent Time Lags.Networks and Spatial Economics,1(3),319-347.
  20. Janson, B. N.(1991).Dynamic Traffic Assignment for Urban Road Networks.Transportation Research Part B: Methodological,25(3),143-161.
  21. Joksimovic, D.,Bliemer, M.,Bovy, P.(2005).Optimal Toll Design Problem in Dynamic Traffic Networks with Joint Route and Departure Time Choice.Transportation Research Record,1932(6),61-72.
  22. Lu, S.(2008).Sensitivity of Static Traffic Equilibria with Perturbations in Arc Cost Function and Travel Demand.Transportation Science,42(1),105-123.
  23. Marcotte, P.(1986).Network Design Problem with Congestion Effects: A Case of Bi-level Programming.Mathematical Programming,34(2),246-254.
  24. Partriksson, M.(1994).The Traffic Assignment Problem: Models and Methods.Netherlands:VSP Utrecht.
  25. Patriksson, M.,Rockafellar, R. T.(2003).Sensitivity Analysis of Aggregated Variational Inequality Problems with Application to Traffic Equilibria.Transportation Science,37(1),56-68.
  26. Ran, B.,Boyce, D. E.(1996).A Link-Based Variational Inequality Formulation of Ideal Dynamic Optimal Route Choice Problem.Transportation Research Part C: Emerging Technologies,4(1),1-12.
  27. Ran, B.,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
  28. Ran, B.,Boyce, D. E.,LeBlanc, L. J.(1993).A New Class of Instantaneous Dynamic UserOptimal Traffic Assignment Models.Operations Research,4(1),192-202.
  29. Sheffi, Y.(1985).Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods.New Jersey:Prentice-Hall Inc..
  30. Smith, M. J.(1998).The Existence, Uniqueness and Stability of Traffic Equilibria.Transportation Research Part B: Methodological,13(4),295-304.
  31. Smith, M. J.,Ghali, M.(1991).The Dynamics of Traffic Assignment and Traffic Control: A Theoretical Study.Transportation Research Part B: Methodological,24(6),409-422.
  32. Tobin, R. L.(1986).Sensitivity Analysis for Variational Inequalities.Journal of Optimization Theory and Applications,48(1),191-204.
  33. Tobin, R. L.,Friesz, T. L.(1988).Sensitivity Analysis for Equilibrium Network Flow.Transportation Science,22(4),242-250.
  34. Viti, F. S.,Catalano, F.,Li, M.,Lindveld, C.,Zuylen, H. V.(2003).An Optimization Problem with Dynamic Route-Departure Time Choice and Pricing.Transportation Research Board 85th Annual Meeting,Washington DC, United States:
  35. Wu, D.,Yin, Y.,Yang, H.(2011).The Independence of Volume-Capacity Ratio of Private Toll Roads in General Networks.Transportation Research Part B: Methodological,45(1),96-101.
  36. Yang, H.,Huang, H. J.(1997).Analysis of the Time-Varying Pricing of a Bottleneck with Elastic Demand Using Optimal Control Theory.Transportation Research,31B,425-440.
  37. Yang, H.,Lam, W. H. K.(1996).Optimal Road Tolls under Conditions of Queueing and Congestion.Transportation Research Part A: Policy and Practice,30(5),319-322.
  38. 卓訓榮(1991)。以廣義反矩陣方法探討均衡路網流量的敏感性分析。運輸計劃季刊,20(1),1-14。
  39. 鄭雅丹(2010)。碩士論文(碩士論文)。國立交通大學交通運輸研究所。
  40. 簡志峰(2004)。碩士論文(碩士論文)。中華大學科技管理研究所。
  41. 嚴國基、陳惠國(2015)。先進先出額外限制之研究─以動態用路人最佳化路徑選擇模型為例。中國土木水利工程學刊,27(4),331-344。
Times Cited
  1. 嚴國基(2019)。道路旅次預約政策基礎分析模型之研究。運輸計劃季刊,48(1),29-62。