Network Equilibrium Models for Urban Transport
Methods for the analysis and prediction of travel conforming to macroscopic assumptions about choices of the urban population cut a broad swath through the field of regional science: economic behavior, spatial analysis, optimization methods, parameter estimation techniques, computational algorithms, network equilibria, and plan evaluation and analysis. This chapter seeks to expose one approach to the construction of models of urban travel choices and implicitly location choices. Beginning with the simple route choice problem faced by vehicle operators in a congested urban road network, exogenous constants are relaxed and replaced with additional assumptions and fewer constants, leading toward a more general forecasting method. The approach, and examples based upon it, reflects the author’s research experience of 40 years with the formulation, implementation, and solution of such models.
KeywordsPublic Transport Mode Choice Route Choice User Equilibrium Traffic Assignment
Professor Huw Williams, Cardiff University, offered many useful comments on earlier drafts of this chapter. Dr. Hillel Bar-Gera, Ben-Gurion University of the Negev, has offered many stimulating insights and contributions to my thinking on combined network equilibrium models during the past 15 years. Dr. Yu (Marco) Nie, Northwestern University, has been a stimulating colleague during my renewed association with my undergraduate alma mater.
Their contributions are greatly appreciated. Remaining errors are my responsibility.
- Bar-Gera H, Boyce D (2007) Some amazing properties of road traffic network equilibria. In: Friesz TL (ed) Network science, nonlinear science and infrastructure systems. Springer, Berlin, pp 305–335Google Scholar
- Beckmann M, McGuire CB, Winsten CB (1956) Studies in the economics of transportation. Yale University Press, New HavenGoogle Scholar
- Bell MGH, Iida Y (1997) Transportation network analysis. Wiley, ChichesterGoogle Scholar
- Erlander S, Stewart NF (1990) The gravity model in transportation analysis. VSP, UtrechtGoogle Scholar
- Florian M (2008) Models and software for urban and regional transportation planning: contributions of the center for research on transportation. INFOR 46(1):29–49Google Scholar
- Florian M, Hearn D (1995) Network equilibrium models and algorithms. In: Ball MO, Magnanti TL, Monma CL, Nemhauser GL (eds) Network routing, handbooks in operations research and management science 8. Elsevier Science, Amsterdam, pp 485–550Google Scholar
- Kuhn HW, Tucker AW (1951) Nonlinear programming. In: Neyman J (ed) Proceedings of the second Berkeley symposium on mathematical statistics and probability. University of California Press, Berkeley, pp 481–492Google Scholar
- Marcotte P, Patriksson M (2007) Traffic equilibrium. In: Barnhart C, Laporte G (eds) Transportation, handbooks in operations research and management science 14. Elsevier Science, Amsterdam, pp 623–713Google Scholar
- Oppenheim N (1995) Urban travel demand modeling. Wiley, New YorkGoogle Scholar
- Patriksson M (1994) The traffic assignment problem: models and methods. VSP, UtrechtGoogle Scholar
- Sheffi Y (1985) Urban transportation networks. Prentice-Hall, Englewood CliffsGoogle Scholar
- Wilson AG (1970) Entropy in urban and regional modeling. Pion, LondonGoogle Scholar