Commenced in January 2007
Paper Count: 31014
Finding Equilibrium in Transport Networks by Simulation and Investigation of Behaviors
Abstract:The goal of this paper is to find Wardrop equilibrium in transport networks at case of uncertainty situations, where the uncertainty comes from lack of information. We use simulation tool to find the equilibrium, which gives only approximate solution, but this is sufficient for large networks as well. In order to take the uncertainty into account we have developed an interval-based procedure for finding the paths with minimal cost using the Dempster-Shafer theory. Furthermore we have investigated the users- behaviors using game theory approach, because their path choices influence the costs of the other users- paths.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1058077Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1248
 A. Nagurney, "Spatial Equilibrium in Transport Networks", in Handbook of Transport Geography and Spatial Systems, Handbooks in Transport Vol. 5, ed. David Hensher, et al., Elsevier, 2004, pp. 583-608.
 D. E. Kaufman, J. Nonis, and R. L. Smith, "A mixed integer linear programming model for dynamic route guidance", Transportation Research Part B: Methodological, Volume 32, Issue 6, August 1998, pp. 431-440.
 D. Boyce, D. H. Lee and B. Ran: Analytical Models of the Dynamic Traffic Assignment Problem, Networks and Spatial Economics, Vol. 1, Numbers 3-4, September, 2001, pp. 377-390.
 I. Chabini, H. Jiang, P. Macneille, and R. Miller, "Parallel Implementation of Dynamic Traffic Assignment Models", Presented at the 2003 IEEE International Conference on Systems, Man & Cybernetics, Washington DC, October 2003.
 Q. Yang: A Simulation Laboratory for Evaluation of Dynamic Traffic Management Systems, PhD thesis, Massachusetts Institute of Technology, Cambridge, Massachusetts, June 1997.
 H. Miller, Y. Wu, M. Hung, "Gis-Based Dynamic Traffic Congestion Modeling To Support Time-Critical Logistics", Published in the Proceedings of the Hawai-i International IEEE Conference on System Science, January 5-8, Maui, Hawaii, 1999.
 Y. Wu, H. Miller, M. Hung, "A GIS-based decision support system for analysis of route choice in congested urban road networks", Journal of Geographical Systems, 2001. No. 3 pp. 3-24.
 A. Rapoport, T. Kugler, S. Dugar, and E. J. Gisches, "Choice of routes in congested traffic networks: Experimental tests of the Braess Paradox", Games and Economic Behavior, Volume 65, Issue 2, March 2009, pp. 538-571.
 S. J. Li, G. Y. Chen, "Multiclass, Two-criteria Traffic Network Equilibrium Models and Vector Variational Inequalities", Systems Engineering - Theory & Practice, Volume 28, Issue 1, January 2008, pp. 141-145.
 L.C. Davis, "Realizing Wardrop equilibria with real-time traffic information", Physica A: Statistical Mechanics and its Applications, Volume 388, Issue 20, 15 October 2009, pp. 4459-4474.
 V. Henn, M. Ottomanelli, "Handling uncertainty in route choice models: From probabilistic to possibilistic approaches", European Journal of Operational Research, Volume 175, Issue 3, 16 December 2006, pp. 1526-1538.
 Y. M. Nie, "Equilibrium analysis of macroscopic traffic oscillations", Transportation Research Part B: Methodological, Volume 44, Issue 1, January 2010, pp. 62-72.
 B. Raney, K. Nagel, "Iterative route planning for large-scale modular transportation simulations", Future Generation Computer Systems, Volume 20, Issue 7, 1 October 2004, pp. 1101-1118.
 A. L.C. Bazzan, F. Kl├╝gl, "Case studies on the Braess Paradox: Simulating route recommendation and learning in abstract and microscopic models", Transportation Research Part C: Emerging Technologies, Volume 13, Issue 4, August 2005, pp. 299-319.
 S. Rosswog, C. Gawron, S. Hasselberg, R. Böning, P. Wagner, "Computational aspects in traffic simulation problems", Future Generation Computer Systems, Volume 17, Issue 5, March 2001, pp. 659-665.
 D. Braess, "Uber ein Paradoxon der Verkehrsplanung," Unternehmenforschung, 1968, 12, pp. 258-268.
 J. G. Wardrop, "Some Theoretical Aspects of Road Traffic Research," Proceedings of the Institute of Civil Engineers, Part II, 1952, pp. 325- 378.
 G. Szűcs, Gy. Sallai, "Route Planning with Uncertain Information using Dempster-Shafer theory", 3rd International Conference Engineering Management and Service Sciences (EMS 2009), Session of City Operation and Development, in Beijing, China, September 20-22, 2009.
 M. Florian, M. Mahut, N. Tremblay, "Application of a simulation-based dynamic traffic assignment model", European Journal of Operational Research 189, 2008, pp. 1381-1392.
 R. Axelrod, "Effective choice in the prisoner-s dilemma" J. Conflict Resolution, 24, 1980, pp. 3-25.
 R. Axelrod, "The Evolution of Cooperation" (Revised edition) Perseus Books Group, 2006.
 J. Baron, "Thinking and Deciding", (Third Edition), Cambridge University Press, 2000.
 Gy. Szab├│, G. F├íth, "Evolutionary games on graphs", Physics Reports 446, 2007, pp. 97-216.
 S. Azhar, A. McLennan, J.H. Reif, "Computation of equilibriain noncooperative games", Computers & Mathematics with Applications, Volume 50, Issues 5-6, September 2005, Pages 823-854.
 G. Szűcs, Gy. Sallai: "Finding Equilibrium in Transport Networks by Simulation in case of Lack of Information", "International Conference on Innovation, Engineering Management and Technology", WASET conference 65, Tokyo, 2010 May 26-28. pp. 172-176.