Research on an Integrated DTA Modeling with Elastic Demand Based on Probit Model and Algorithm

Article Preview

Abstract:

DTA modeling is first presented by Daganzo and Sheffi aiming at building up model to descript the traffic assignment in terms of practical application., their work lays the foundation of SUE (Stochastic User Equilibrium) modeling. This paper makes a brief review of Probit model, a integrated model based on Probit model with elastic traffic demand is presented by using SUE method, the existence and uniqueness of the solution to the model is dicussed, the solution to the model is presented. Finally, a case study is presented.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 374-377)

Pages:

2610-2616

Citation:

Online since:

October 2011

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Caroline Fisk. Some develope in user equilibrium traffic assignment [J]. Transportation Research, 1980, 14B: 243-255.

Google Scholar

[2] Dial R B. Bicriterion traffic assignment basic theory and elementary algorithms [J] Transportation Science, 1996, 30: 93-111.

DOI: 10.1287/trsc.30.2.93

Google Scholar

[3] Dial R B. Bicriterion traffic assignment eficient algorithms plus examples[J]. Transportation Research,1997, 31B:357-379.

DOI: 10.1016/s0191-2615(96)00034-3

Google Scholar

[4] Fisk C. S,Boyce D.E. Alterative variational inequality formulations of the network equilibrium-travel choice problem[J]. Transportation Science, 1983, 17(4): 454-463.

DOI: 10.1287/trsc.17.4.454

Google Scholar

[5] Chung-Cheng Lu,Hani S. Mahmassani, Xuesong Zhou. A bi-criterion dynamic user equilibrium traffic assignment model and solution algorithm for evaluating dynamic road pricing strategies [J]. Transportation Research Part C 16 2008, 371-389.

DOI: 10.1016/j.trc.2007.08.002

Google Scholar

[6] S. Travis Waller, Athanasios K. Ziliaskopoulos. A chance-constrained based stochastic dynamic traffic assignment model Analysis formulation and solution algorithms [J]. Transportation Research Part C 14 2006, 418-427.

DOI: 10.1016/j.trc.2006.11.002

Google Scholar

[7] S. TravisWaller , Athanasios K. Ziliaskopoulos. A combinatorial user optimal dynamic traffic assignment algorithm [J]. Ann Oper Res 2006, 249-261.

DOI: 10.1007/s10479-006-0013-z

Google Scholar

[7] Jiuh-Biing Sheu. A composite traffic flow modeling approach for incident-responsive network traffic assignment[J] Physica A 2006:, 461-478.

DOI: 10.1016/j.physa.2005.11.039

Google Scholar

[8] Caroline Fisk. Some develop in user equilibrium traffic assignment [J]. Transportation Research, 1980,14B: 243—255.

Google Scholar

[9] Dial R B. Bicriterion traffic assignment eficient algorithms plus examples[J].Transportation Research,1997,31B:357—379.

DOI: 10.1016/s0191-2615(96)00034-3

Google Scholar

[10] Fisk C. S,Boyce D.E. Alterative variational inequality formulations of the network equilibrium—travel choice problem[J]. Transportation Science,1983,17(4): 454—463.

DOI: 10.1287/trsc.17.4.454

Google Scholar

[11] Dial R B. Bicriterion traffic assignment basic theory and elementary algorithms [J] Transportation Science,1996,30: 93—111.

DOI: 10.1287/trsc.30.2.93

Google Scholar

[12] Byung-Wook Wie. A convex control model of dynamic system-optimal traffic assignment[J]. Control Engineering Practice 6 1998, 745-753.

DOI: 10.1016/s0967-0661(98)00080-x

Google Scholar

[13] Giuseppe Bellei, Guido Gentile, Lorenzo Meschini, Natale Papola. A demand model with departure time choice for within-day dynamic traffic assignment [J]. European Journal of Operational Research 2006, 1557-1576.

DOI: 10.1016/j.ejor.2005.02.028

Google Scholar

[14] Richard Mounce. Convergence in a continuous dynamic queueing model for traffic networks[J]. Transportation Research Part B 2006, 779-791.

DOI: 10.1016/j.trb.2005.10.004

Google Scholar

[15] Nanne J. Van Der Zijpp, Erik De Romph. A dynamic traffic forecasting application on the Amsterdam beltway[J]. International Journal of Forecasting 1997, 1387-103.

DOI: 10.1016/s0169-2070(96)00703-0

Google Scholar

[16] Wen-Long Jin. A dynamical system model of the traffic assignment problem[J]. Transportation Research Part B 2007, 32–48.

Google Scholar

[17] Zhengwu Wang, Zhongxiang Huang, Dayong Luo. A Formulation and Solution Algorithm for Multiple User Classes Dynamic Traffic Assignment[J]. Proceedings of the 7th World Congress on Intelligent Control and Automation June 25 - 27, (2008).

DOI: 10.1109/wcica.2008.4593486

Google Scholar

[18] Michael Florian, Michael Mahut, Nicolas Tremblay. A Hybrid Optimization-Mesoscopic Simulation Dynamic Traffic Assignment Model 2001 IEEE Intelligent Transportation Systems Conference Proceedings - Oakland (CA), USA - August 25-29, (2001).

DOI: 10.1109/itsc.2001.948640

Google Scholar

[19] David E. Kaufman. A mixed integer linear programming model for dynamic route guidance Transportation Res. -B, Vol. 32, No. 6, 1998, 431-440.

DOI: 10.1016/s0191-2615(98)00013-7

Google Scholar

[20] C.O. Tong, S.C. Wong. A predictive dynamic traffic assignment model in congested capacity-constrained road networks[J]. Transportation Research Part B 34 2000, 625-644.

DOI: 10.1016/s0191-2615(99)00045-4

Google Scholar

[21] Jun Li, Okitsugu Fujiwar, Shogo Kawakami. A reactive dynamic user equilibrium model in network with queues[J]. Transportation Research Part B 34 2000, 605-624.

DOI: 10.1016/s0191-2615(99)00040-5

Google Scholar