Abstract
We propose a methodology for decision support in strategic traffic management. The methodology is based on an integrated model of traffic assignment and management decisions and its core is a traffic equilibrium model which assumes that the travellers choose their routes in accordance with Wardrop’s principle. The management goals, regarding traffic flows and travel times in the network, are presumed to be described by constraints. It is also possible to specify a set of admissible actions in the network for achieving the goals; examples of such actions are changes in link capacities and the introduction of monetary tolls. The proposed approach constitutes a systematic methodology for finding appropriate changes in the traffic network in order to fulfill the management goals. We present a two-stage procedure for finding approximate solutions to the model.
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References
Chen, M., Bernstein, D.H., Chien, S.I.J., and Mouskos, K.C. (1998). “A simplified formulation of the toll design problem,” Paper submitted for presentation and publication to the Transportation Research Board, National Research Council, July.
Cree, N.D., Maher, M.J., and Paechter, B. (1998). “The continuous equilibrium optimal network design problem: a genetic approach,” In: Transportation Networks: Recent Methodological Advances, Ed: Bell, M.G.H., 163–174, Amsterdam: Perga-mon.
Dirkse, S.P., and Ferris, M.P. (1998). “Traffic modeling and variational inequalities using GAMS.” Ed: Ph. L. Toint, M. Labbé, K. Tanczos, and G. Laporte, Operations Research and Decision Aid Methodologies in Traffic and Transportation Management, NATO ASI Series F, 136–163. Berlin: Springer-Verlag.
Hearn D.W., and Ramana M.V. (1998). “Solving congestion toll pricing models,” In: Equilibrium and Advanced Transportation Modelling, Ed: Marcotte P. and Nguyen S., New York: Kluwer Academic Publishers, 109–124.
Huang, H.J., and Bell, M.G.H. (1998). “Continuous equilibrium network design problem with elastic demand: derivative-free solution methods,” In: Transportation Networks: Recent Methodological Advances, Ed: Bell, M.G.H., 175–193, Amsterdam: Pergamon.
Labbé, M., Marcotte, P., and Savard, G. (1998). “A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing,“ Management Science,44, 1608–1622.
Larsson, T., Liu, Z., and Patriksson, M. (1997). “A dual scheme for traffic assignment problems,” Optimization, 42, 323–358.
Larsson, T., and Patriksson, M. (1998). “Side constrained traffic equilibrium modelstraffic management through link tolls,” In: Equilibrium and Advanced Transportation Modelling, Ed: Marcotte, P., and Nguyen, S., New York: Kluwer Academic Publishers, 125–151.
Larsson, T., and Patriksson, M. (1999). “Side constrained traffic equilibrium models analysis, computation and applications,” Transportation Research, 33B, 233–264.
Larsson, T., Patriksson, M., and Strömberg, A.-B. (1999). “Ergodic, primal convergence in dual subgradient schemes for convex programming,” Mathematical Programming, 86, 283–312.
Marcotte, P. (1986). “Network Design Problem with Congestion Effects: A Case of Bilevel Programming,” Mathematical Programming, 34, 142–162.
Marcotte, P., and Marquis, G. (1992). “Efficient implementation of heuristics for the continuous network design problem,” Annals of Operations Research, 34, 163–176.
Migdalas, A. (1995). “Bilevel programming in traffic planning: models, methods and challenge,” Journal of Global Optimization, 7, 381–405.
Patriksson, M. (1994). “The Traffic Assignment Problem — Models and Methods,” Utrecht: VSP, BV, The Netherlands.
Sheffi, Y. (1985). “Urban Transport Networks: Equilibrium Analysis with Mathematical Programming Methods,” Englewood Cliffs, NJ: Prentice-Hall.
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Larsson, T., Lundgren, J.T., Rydergren, C., Patriksson, M. (2002). A Decision Support Methodology for Strategic Traffic Management. In: Gendreau, M., Marcotte, P. (eds) Transportation and Network Analysis: Current Trends. Applied Optimization, vol 63. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6871-8_10
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DOI: https://doi.org/10.1007/978-1-4757-6871-8_10
Publisher Name: Springer, Boston, MA
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