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Application of a simulation-based dynamic traffic assignment model. (English) Zbl 1146.90366
Summary: The evaluation of on-line intelligent transportation system (ITS) measures, such as adaptive route-guidance and traffic management systems, depends heavily on the use of faster than real time traffic simulation models. Off-line applications, such as the testing of ITS strategies and planning studies, are also best served by fast-running traffic models due to the repetitive or iterative nature of such investigations. This paper describes a simulation-based, iterative dynamic equilibrium traffic assignment model. The determination of time-dependent path flows is modeled as a master problem that is solved using the method of successive averages (MSA). The determination of path travel times for a given set of path flows is the network-loading sub-problem, which is solved using the space-time queuing approach of Mahut. This loading method has been shown to provide reasonably accurate results with very little computational effort. The model was applied to the Stockholm road network, which consists of 2100 links, 1191 nodes, 228 zones, representing and 4964 turns. The results show that this model is applicable to medium-size networks with a very reasonable computation time.

90B20 Traffic problems in operations research
90B22 Queues and service in operations research
Full Text: DOI
[1] Astarita, V.; Er-Rafia, K.; Florian, M.; Mahut, M.; Velan, S., Comparison of three methods for dynamic network loading, Transportation research record, 1771, 179-190, (2001)
[2] Barceló, J., 2000. The role of traffic simulation in advanced traffic management systems. Presented at the Spring meeting of INFORMS, Salt Lake City, USA, May 7-10.
[3] Barceló, J., Ferrer, J.L., Grau, R., 1994. AIMSUN2 and the GETRAM simulation environment. Internal Report, Departamento de Estadistica e Investigacion Operativa. Universitat Politecnica de Catalunya. See also http://www.tss-bcn.com.
[4] Ben-Akiva, M., Koutsopoulis, H., Toledo, T., 2000. MITSIMLab: Recent developments and applications. Presented at the Spring meeting of INFORMS, Salt Lake City, USA, May 7-10.
[5] Ben-Akiva, M., Koutsopoulos, H.N., Mishalani, R., 1998. DYNAMIT: A simulation-based system for traffic prediction. Paper presented at the DACCORD Short Term Forecasting Workshop, Delft, The Netherlands. See also http://web.mit.edu/.
[6] Diakaki, C., Papageorgiou, M., 1996. Integrated modelling and control of corridor traffic networks using the METACOR modelling tool. Dynamic Systems and Simulation Laboratory, Technical University of Crete. Internal Report No. 8. Chania, Greece, p. 41.
[7] Friesz, T.; Bernstein, D.; Smith, T.; Tobin, R.; Wie, B., A variational inequality formulation of the dynamic network user equilibrium problem, Operations research, 41, 179-191, (1993) · Zbl 0771.90037
[8] Leonard, D.R., Gower, P., Taylor, N.B., 1989. CONTRAM: Structure of the model. Transport and Road Research Laboratory (TRRL) Research Report 178. Department of Transport, Crowthorne. See also http://www.contram.com/.
[9] Lighthill, M.J.; Whitham, G.B., On kinematic waves I: flood movement in long rivers II: A theory of traffic flow on long crowded roads, Proceedings of the royal society of London A, 229, 281-345, (1955) · Zbl 0064.20906
[10] Mahmassani, H.S., Abdelghany, A.F., Huynh, N., Zhou, X., Chiu, Y.C., 2001. Abdelghany KF. DYNASMART-P (version 0.926) user’s guide. Technical Report STO67-85-PIII, Center for Transportation Research, University of Texas at Austin.
[11] Mahut, M.; Florian, M.; Tremblay, N.; Campbell, M.; Patman, D.; McDaniel, Z., Calibration and application of a simulation-based dynamic traffic assignment model, Transportation research record, 1876, 101-111, (2004)
[12] Mahut, M., 2001. A multi-lane extension of the space-time queue model of traffic dynamics. In: Fourth Triennial Symposium on Transportation Analysis (TRISTAN IV). Preprints, vol. 2, 303-308.
[13] Mahut, M., 2000. Discrete flow model for dynamic network loading. Ph.D. Thesis, Département d’informatique et de recherche opérationnelle, Université de Montréal. Published by the Center for Research on Transportation (CRT), University of Montreal.
[14] Messmer, A., 2000a. METANET a simulation program for motorway networks (Documentation). Dynamic Systems and Simulation Laboratory, Technical University of Crete, Chania, Greece.
[15] Messmer, A., 2000b. METANET-DTA an exact dynamic traffic assignment tool based on METANET. Dynamic Systems and Simulation Laboratory, Technical University of Crete, Chania, Greece, p. 37.
[16] Nagel, K.; Schreckenberg, M., A cellular automaton model for freeway traffic, Journal de physique I France, 2, 2221-2229, (1992)
[17] Papageourgiou, M., Dynamic modelling, assignment and route guidance in traffic networks, Transportation research B, 24, 6, 471-495, (1990)
[18] Richards, P.I., Shock waves on the highway, Operations research, 4, 42-51, (1956) · Zbl 1414.90094
[19] Van Aerde, M., 1999. INTEGRATION release 2.20 for windows: User’s guide. MVA and Associates, Kingston, Canada.
[20] Velan, S.; Van Aerde, M., The impact of driver and flow variability on capacity estimates of permissive movements, Transportation research A, 32, 7, 509-527, (1998)
[21] Yang, Q., 1997. A simulation laboratory for evaluation of dynamic traffic management systems. Ph.D. Thesis, Massachusetts Institute of Technology. See also http://web.mit.edu/its/products.html.
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