城市交通路段平衡模型与交叉口平衡算法的比较
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摘要
本文介绍了交通规划的背景、目的、过程和城市交通规划的四阶段模型，并结合实例研究了出行生成、出行分布、方式选择与出行分配的关系；详细介绍了交通规划的启发式算法及其历史，并结合算例具体的给出了容限配流算法和比例配流算法，进而阐述了路段阻尼函数和求解最短路径的算法；在此基础上全面综述了平衡模型的思想、数学模型、等价性和解的唯—性的证明，及求解平衡问题的Frank—Wolf算法，并且结合丹东市的374个节点的交通网络实现了该算法，其计算结果已被丹东市道路交通规划所采用。本文还将系统最优模型与用户平衡模型进行了比较，指出了二者的关系；文章的后半部分重点讨论的是路段交通相互影响的平衡问题，分别研究了路段间对称和非对称影响的情况。同时考虑基于交叉口的平衡问题，提出了改进的算法，并结合丹东市交通网络进行了计算，与不考虑交叉口的算法进行了数值比较。
This paper introduces the process of transportation planning, and discusses the classical equilibrium model intensively and systematically.
This paper analyzes urban transportation network, traffic assignment models, standard user-equilibrium model and system-optimal model. And gives the differences and connections of user-equilibrium model and system-optimal model. The paper points out the disadvantages of the equilibrium model, and discusses the schema respectively according to different situations. When the interaction of links is asymmetric, the equivalent model is difficult to present, so the paper changes the algorithm, and applies the new algorithm in the Urban Transportation Plan of Dan Dong. The actual action is considering the factor of delay in the intersection when calculating the link travel time.
This paper introduces the process of transportation planning, and discusses the classical equilibrium model intensively and systematically.
This paper analyzes urban transportation network, traffic assignment models, standard user-equilibrium model and system-optimal model. And gives the differences and connections of user-equilibrium model and system-optimal model. The paper points out the disadvantages of the equilibrium model, and discusses the schema respectively according to different situations. When the interaction of links is asymmetric, the equivalent model is difficult to present, so the paper changes the algorithm, and applies the new algorithm in the Urban Transportation Plan of Dan Dong. The actual action is considering the factor of delay in the intersection when calculating the link travel time.
引文
[1] 黄海军著，《城市交通网络平衡分析理论与实践》，人民交通出版社，1994年
[2] 毛保华、曾会欣等著，《交通规划模型及其应用》，中国铁道出版社，1999年
[3] 方开泰著，《实用多元统计分析》，华东师范大学出版社，1989年
[4] 方开泰、潘恩沛著，《聚类分析》，地质出版社，1983年
[5] 王炜、徐吉谦等著，《城市交通规划理论及其应用》，东南大学出版社，1998年
[6] 徐吉谦等编著，《交通工程学基础》，东南大学出版社，1994年
[7] 熊西文等编写，《城市交通调查与规划设计模型和方法》，大连理工大学出版社，1992年
[8] Yosef Sheffi, Urban Transportation Network: Equilibrium analysis with mathematical programming method. Prentice-Hall. INC, Englewood Cliffs, New Jersey, 1985
[9] Dafermos S. The General Multimodal Netmork Equilibrium Problem with Elastic Demand. Network 1982(1)
[10] Li, Baibing, De Moor, Bart Recursive estimation based on the equality constrained optimization for intersection origin-destination matrices Transportation Research B Vol: 33, Issue: 3, April, 1999
[11] Hartigan, J. A., Clustering Algorithms, New York: John Wiley, 1975
[12] R. ARYAL and Y. TANABORIBOON. Determination of Basic Capacity of an uninterrupt Flow Highway in Thailand. AUSTRALIAN ROAD RESEARCH, 19(1), 1989.
[13] EDWARD K.MORLOK. 《Introduction to Transportation Engineering and Planning》. 1978.
[14] YASSER HASSAN. Passing Sight Distance on two-lane highways: Review and Revision. T. R. vol30A, NO.6, 1996.
[15] JOHAN F. GOUD. Comparing the 1985 HCM and ICU methodologies. ITE JOURNAL/AUGUST, 1990.
[16] JOHAN F. GOUD. Comparing the 1985 HCM and ICU methodologies. ITE JOURNAL/AUGUST, 1990.
[17] Pollatschek, Moshe A.; Polus, Abishaib; Livneh, Moshe, A decision model for gap acceptance and capacity at intersections, Transportation Research Part B: Methodological, Vol: 36, Issue: 7, August, 2002 pp. 649-663
[18] Ziyou, Gao; Yifan, Song, A reserve capacity model of optimal signal control with user-equilibrium route choice, Transportation Research Part B: Methodological, Vol: 36, Issue: 4, May, 2002 pp. 313-323
[19] Wu, Ning, A universal procedure for capacity determination at unsignalized (priority-controlled) intersections, Transportation Research Part B: Methodological, Vol: 35, Issue: 6, July, 2001 pp. 593-623
[2] 毛保华、曾会欣等著，《交通规划模型及其应用》，中国铁道出版社，1999年
[3] 方开泰著，《实用多元统计分析》，华东师范大学出版社，1989年
[4] 方开泰、潘恩沛著，《聚类分析》，地质出版社，1983年
[5] 王炜、徐吉谦等著，《城市交通规划理论及其应用》，东南大学出版社，1998年
[6] 徐吉谦等编著，《交通工程学基础》，东南大学出版社，1994年
[7] 熊西文等编写，《城市交通调查与规划设计模型和方法》，大连理工大学出版社，1992年
[8] Yosef Sheffi, Urban Transportation Network: Equilibrium analysis with mathematical programming method. Prentice-Hall. INC, Englewood Cliffs, New Jersey, 1985
[9] Dafermos S. The General Multimodal Netmork Equilibrium Problem with Elastic Demand. Network 1982(1)
[10] Li, Baibing, De Moor, Bart Recursive estimation based on the equality constrained optimization for intersection origin-destination matrices Transportation Research B Vol: 33, Issue: 3, April, 1999
[11] Hartigan, J. A., Clustering Algorithms, New York: John Wiley, 1975
[12] R. ARYAL and Y. TANABORIBOON. Determination of Basic Capacity of an uninterrupt Flow Highway in Thailand. AUSTRALIAN ROAD RESEARCH, 19(1), 1989.
[13] EDWARD K.MORLOK. 《Introduction to Transportation Engineering and Planning》. 1978.
[14] YASSER HASSAN. Passing Sight Distance on two-lane highways: Review and Revision. T. R. vol30A, NO.6, 1996.
[15] JOHAN F. GOUD. Comparing the 1985 HCM and ICU methodologies. ITE JOURNAL/AUGUST, 1990.
[16] JOHAN F. GOUD. Comparing the 1985 HCM and ICU methodologies. ITE JOURNAL/AUGUST, 1990.
[17] Pollatschek, Moshe A.; Polus, Abishaib; Livneh, Moshe, A decision model for gap acceptance and capacity at intersections, Transportation Research Part B: Methodological, Vol: 36, Issue: 7, August, 2002 pp. 649-663
[18] Ziyou, Gao; Yifan, Song, A reserve capacity model of optimal signal control with user-equilibrium route choice, Transportation Research Part B: Methodological, Vol: 36, Issue: 4, May, 2002 pp. 313-323
[19] Wu, Ning, A universal procedure for capacity determination at unsignalized (priority-controlled) intersections, Transportation Research Part B: Methodological, Vol: 35, Issue: 6, July, 2001 pp. 593-623