Consistency and Inconsistency Between the Fundamental Relationships on Which Different Traffic Assignment Models Are Based
Published Online:21 Nov 2018https://doi.org/10.1287/trsc.2017.0809
References
- (1991) Travel time functions for transport planning purposes: Davidson’s function, its time-dependent form and an alternative travel time function. Australian Road Res. 21(2):49–59.Google Scholar
- (2014) The two-regime transmission model for network loading in dynamic traffic assignment. Transportmetrica A 10(7):563–584.Crossref, Google Scholar
- (2006) Nonlinear Programming: Theory and Algorithms, Third ed. (John Wiley & Sons, Hoboken, NJ).Crossref, Google Scholar
- (1956) Studies in the Economics of Transportation (Yale University Press, New Haven, CT).Google Scholar
- (2014) A unified framework for traffic assignment: Deriving static and quasi dynamic models consistent with general first order dynamic traffic assignment models. 5th Internat. Sympos. Dynamic Traffic Assignment, Salerno, Italy, 1–38.Google Scholar
- Bureau of Public Roads (1964) Traffic assignment manual. Urban Planning Division, U.S. Department of Commerce, Washington D.C.Google Scholar
- (1976) Link capacity functions: A review. Transportation Res. 10(3):223–236.Crossref, Google Scholar
- (2012) A review of flow-density functions. Transport Rev. 32(1):49–73.Crossref, Google Scholar
- (2004) Efficient discretisation of link travel time models. Networks Spatial Econom. 4(2):269–290.Crossref, Google Scholar
- (2005) Convergence of a discretised travel-time model. Transportation Sci. 39(1):25–38.Link, Google Scholar
- (2014) Extending travel-time based models for dynamic network loading and assignment, to achieve adherence to first-in-first-out and link capacities. Transportation Res. Part B 65:90–104.Crossref, Google Scholar
- (1994) The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory. Transportation Res. Part B 28(3):269–287.Crossref, Google Scholar
- (1995a) The cell transmission model, Part II: Network traffic. Transportation Res. Part B 29(1):79–93.Crossref, Google Scholar
- (1995b) A finite difference approximation of the kinematic wave model of traffic flow. Transportation Res. Part B 29(3):261–276.Crossref, Google Scholar
- (1965) Deterministic aspects of freeway operations and control. Highway Res. Record 99:48–58.Google Scholar
- (2001) Traffic flow theory: A state of the art report. Transportation Research Board, Washington, DC.Google Scholar
- (2010) The general link transmission model for dynamic network loading and a comparison with the DUE algorithm. Immers LGH, Tampere CMJ, Viti F, eds. New Developments in Transport Planning: Advances in Dynamic Traffic Assignment, Transport Economics, Management Policy Series (Edward Elgar Publishing, Northampton, MA), 153–178.Google Scholar
- (1935) A study of traffic capacity. Proc. Highway Res. Board, Vol. 14, 448–474.Google Scholar
- (1963) Mathematical Theories of Traffic Flow (Academic Press, New York).Google Scholar
- (2008) Congestion modeling. Hensher DA, Button KJ, eds. Handbooks in Transport: Vol. 1 Handbook of Transport Modelling (Elsevier, Amsterdam), 417–444.Google Scholar
- (1990) Traffic Flow Fundamentals (Prentice Hall, Upper River Saddle, NJ).Google Scholar
- (1968) Evaluation of single-and two-regime traffic flow models. Fourth Internat. Sympos. Theory Traffic Flow Proc., Karlsruhe, West Germany.Google Scholar
- (2016) Optimal queue placement in dynamic system optimum solutions for single origin-destination traffic networks. Transportation Res. Part B. 92:148–169.Crossref, Google Scholar
- (2005) Delay-function-based link models: Their properties and computational issues. Transportation Res. Part B 39(8):729–751.Crossref, Google Scholar
- (1989) Macroscopic modelling of traffic flow on the Boulevard Peripherique in Paris. Transportation Res. Part B 23(1):29–47.Crossref, Google Scholar
- (1967) Car following models and the fundamental diagram of road traffic. Transportation Res. 1:21–29.Crossref, Google Scholar
- (1989) Estimating travel time functions for urban roads: Options and issues. Transportation Planning Tech. 14(1):63–82.Crossref, Google Scholar
- (1985) Urban Transportation Networks (Prentice-Hall, Upper River Saddle, NJ).Google Scholar
- (2003) Hypercongestion. J. Transport Econom. Policy 37(2):319–352.Google Scholar
- (1990) Conical volume-delay functions. Transportation Sci. 24(1):153–158.Link, Google Scholar
- Transportation Research Board (2011) 75 years of the fundamental diagram for traffic flow theory. Transportation Research Circular E-C149, Transportation Research Board,Washington, DC.Google Scholar
- (1961) The theory and measurement of private and social cost of highway congestion. Econometrica 29:676–699.Crossref, Google Scholar
- (1995) The continuous dynamic network loading problem: A mathematical formulation and solution method. Presentation, 3rd Euro Working Group Meeting on Urban Traffic and Transportation, Barcelona, Spain.Google Scholar
- (1998) The continuous dynamic network loading problem: A mathematical formulation and solution method. Transportation Res. Part B 32:173–187.Crossref, Google Scholar
- (1999) Advances in the continuous dynamic network loading problem. Transportation Sci. 33(4):341–353.Link, Google Scholar
- (2007) The link transmission model for dynamic network loading. Unpublished doctoral thesis, KU Leuven, Leuven, Belgium.Google Scholar

