Abstract
This chapter focuses on synchromodal planning problems in which information is shared between all agents in the system and they choose their routes based on an individual optimisation objective. We show the effect of the information availability by develo** three different methods to determine the optimal paths, to motivate logistic players to cooperate in a synchromodal system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bar-Gera, H. (1999). Origin-based algorithms for transportation network modeling. Ph.D. thesis, Chicago: University of Illinois at Chicago.
Bar-Gera, H., Boyce, D., & Nie, Y.M. (2012). User-equilibrium route flows and the condition of proportionality. Transportation Research Part B: Methodological, 46(3), 440–462.
Corman, F., Viti, F., & Negenborn, R. R. (2017). Equilibrium models in multimodal container transport systems. Flexible Services and Manufacturing Journal, 29(1), 125–153.
Didi-Biha, M., Marcotte, P., & Savard, G. (2006). Path-based formulations of a bilevel toll setting problem. In Optimization with Multivalued Map**s (pp. 29–50). Springer
van Essen, M., Thomas, T., van Berkum, E., & Chorus, C. (2016). From user equilibrium to system optimum: a literature review on the role of travel information, bounded rationality and non-selfish behaviour at the network and individual levels. Transport Reviews, 36(4), 527–548.
Florian, M., & Hearn, D. (2003). Network equilibrium and pricing. In Handbook of Transportation Science (pp. 373–411). Springer
Han, D., & Yang, H. (2008). The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing. Transportation Research Part E: Logistics and Transportation Review, 44(5), 753–773.
Hearn, D., & Ramana, M. (1998). Solving congestion toll pricing models. In P. Marcotte, & S. Nguyen (Eds.), Equilibrium and Advanced Transportation Modelling. Centre for Research on Transportation.
Jiang, L., & Mahmassani, H. (2013). Toll pricing: Computational tests for capturing heterogeneity of user preferences. Transportation Research Record: Journal of the Transportation Research Board, 2343(1), 105–115.
Levy, N., Klein, I., & Ben-Elia, E. (2016). Emergence of cooperation and a fair system optimum in road networks: A game-theoretic and agent-based modelling approach. Research in Transportation Economic, 68, 46–55.
Liu, C. L., & Liu, F. (2012). Dynamical consensus seeking of second-order multi-agent systems based on delayed state compensation. Systems & Control Letters, 61(12), 1235–1241.
Miyagi, T., & Peque, G. C. (2012). Informed-user algorithms that converge to Nash equilibrium in traffic games. Procedia—Social and Behavioral Sciences, 54, 438–449. https://doi.org/10.1016/j.sbspro.2012.09.762. Proceedings of EWGT2012—15th Meeting of the EURO Working Group on Transportation, September 2012, Paris.
Peeta, S., & Mahmassani, H. S. (1995). System optimal and user equilibrium time-dependent traffic assignment in congested networks. Annals of Operations Research, 60(1), 81–113.
Ren, W., & Beard, R. W. (2005). Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 50(5), 655–661.
Roughgarden, T. (2006). Selfish routing and the price of anarchy. OPTIMA-2007.
Wagner, N. (2012). The dynamic user equilibrium on a transport network: Mathematical properties and economic applications. Ph.D. thesis, Université Paris-Est.
Wang, C., & Tang, Y. (2017). The discussion of system optimism and user equilibrium in traffic assignment with the perspective of game theory. Transportation Research Procedia, 25, 2974–2983.
Xu, W., Miao, L., & Lin, W. H. (2012). Stochastic user equilibrium assignment in schedule-based transit networks with capacity constraints. In Discrete Dynamics in Nature and Society
Yang, H., & Huang, H. J. (2005). Fundamentals of user-equilibrium problems. In Mathematical and Economic Theory of Road Pricing (pp. 13–46). Amsterdam: Elsevier.
Yang, H., & Huang, H. J. (2005). Social and spatial equities and revenue redistribution. In Mathematical and Economic Theory of Road Pricing (pp. 203–238). Amsterdam: Elsevier.
Yang, H., & Zhang, X. (2008). Existence of anonymous link tolls for system optimum on networks with mixed equilibrium behaviors. Transportation Research Part B: Methodological, 42(2), 99–112 .
Roughgarden, T., & Tardos, E. (2002). How bad is selfish routing? Journal of the ACM (JACM), 49(2), 236–259.
Swamy, C. (2007). The effectiveness of stackelberg strategies and tolls for network congestion games. In Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms (pp. 1133–1142). Society for Industrial and Applied Mathematics.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 Netherlands Organisation for Applied Scientific Research
About this chapter
Cite this chapter
Bruijns, L.A.M. (2023). User Equilibrium in a Transportation Space-Time Network. In: Phillipson, F. (eds) Optimisation in Synchromodal Logistics. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-15655-7_11
Download citation
DOI: https://doi.org/10.1007/978-3-031-15655-7_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-15654-0
Online ISBN: 978-3-031-15655-7
eBook Packages: Business and ManagementBusiness and Management (R0)