On Driver Anticipation, Two-Regime Flow, Fundamental Diagrams, and Kinematic-Wave Theory

References

• Agyemang-Duah K., Hall F. L., Brannolte U. Some issues regarding the numerical value of capacity. Proc. Internat. Sympos. Highway Capacity and Level of Service (1991) (A. A. Balkema Press, Rotterdam, The Netherlands) 1–15Google Scholar
• Appert C., Santen L. Introduction d’un temps de reaction dans un modèle simplifié de traffic: Emergence of la métastabilité. Actes INRETS (2001) 90:9–27Google Scholar
• Barlovic R., Santen L., Schadschneider A., Schreckenberg M. Metastable states in cellular automata for traffic flow. Eur. Physical J. B (1998) 5:793–800Crossref, Google Scholar
• Bassan S., Ceder A. Calibrated time-dependent two-regime traffic-flow models. (2004) . TRB 2004 Annual Meeting (CD), Washington, D.C.Google Scholar
• Biham O., Middleton A., Levine D. Self-organization and a dynamical transition in traffic-flow models. Physical Rev. Part A (1992) 46:R6124–R6127Crossref, Google Scholar
• Cassidy M. J. Bivariate relations in nearly stationary highway traffic. Transportation Res. Part B (1998) 32:49–59Crossref, Google Scholar
• Ceder A. A deterministic traffic flow model for the two-regime approach. Transportation Res. Record (1976) 567:16–30Google Scholar
• Ceder A., May A. D. Further evaluation of single and two-regime traffic flow models. Transportation Res. Record (1976) 567:1–15Google Scholar
• Coifman B., Yang Y. Estimating spatial measures of roadway network usage from remotely sensed data. (2004) . TRB 2004 Annual Meeting (CD), Washington, D.C.Google Scholar
• Dijker T., Bovy P. H. L., Vermijs R. G. M. M. Car-following under congested conditions: Empirical findings. Transportation Res. Record (1998) 1644:20–28Crossref, Google Scholar
• Drake J. S., Schafer J. L., May A. D. A statistical analysis of speed density hypotheses. Highway Res. Record (1967) 154:53–87Google Scholar
• Edie L. C. Car following and steady state theory for noncongested traffic. Oper. Res. (1961) 9:61–76Link, Google Scholar
• Greenshields B. N. A study of traffic capacity. Proc. 14th Annual Meeting Highway Res. Board (1934) Washington, D.C.:448–474Google Scholar
• Hall F. L., Agyemang-Duah K. Freeway capacity drop and the definition of capacity. J. Transportation Res. Record (1991) 1320:91–98Google Scholar
• Hall F. L., Hurdle V. F., Banks J. H. Synthesis of recent work on the nature of speed-flow and flow-occupancy (or density) relationships on freeways. Transportation Res. Record (1992) 1365:12–18Google Scholar
• Jost D., Nagel K. Probabilistic traffic flow breakdown in stochastic car following models. Transportation Res. Record (2003) 1852:152–158Crossref, Google Scholar
• Kerner B. S. Empirical macroscopic features of spatial-temporal traffic patterns at highway bottlenecks. Physical Rev. Part E (2002) 65Paper 046138Google Scholar
• Koshi M., Iwasaki M., Ohkura I., Hurdle V. F., et al. Some findings and an overview on vehicular flow characteristics. Proc. 8th Internat. Sympos. Trans. Traffic Theory (1981) (Univ. Toronto Press, Toronto, Canada) 403–426Google Scholar
• Krug J., Ferrari P. A. Phase transitions in driven diffusive systems with random rates. J. Phys. Part A (1996) 29:L465–L471Crossref, Google Scholar
• Lighthill M. J., Whitham G. B. On kinematic waves II. A theory of long crowded roads. Proc. Roy. Soc. London (1955) A229:317–345Google Scholar
• McShane W. R., Roess R. P.Traffic Engineering (1990) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar
• Muñoz J. C., Daganzo C. F. Structure of the transition zone behind freeway queues. Transportation Sci. (2003) 37:312–329Link, Google Scholar
• Nagel K. Particle hopping models and traffic flow theory. Phys. Rev. Part E (1996) 53:4655–4672Crossref, Google Scholar
• Nagel K., Schreckenberg M. A cellular automata model for freeway traffic. J. Phys. I France (1992) 2:2221–2229Crossref, Google Scholar
• Neubert L., Santen L., Schadschneider A., Schreckenberg M. Single-vehicle data of highway traffic: A statistical analysis. Physical Rev. Part E (1999) 60:6480–6490Crossref, Google Scholar
• Papageorgiou M. Some remarks on macroscopic traffic flow modelling. Transportation Res. Part A (1998) 32:323–329Google Scholar
• Payne H. J. Discontinuity in equilibrium freeway traffic flow. Transportation Res. Record (1984) 971:140–146Google Scholar
• Richards P. I. Shock waves on the highway. Oper. Res. (1956) 4:42–51Link, Google Scholar
• Schadschneider A., Schreckenberg M. Traffic flow models with “slow-to-start” rules. Annalen der Physik (1997) 6:541–551Crossref, Google Scholar
• Spohn H.Large Scale Dynamics of Interacting Particles (1991) (Springer, Berlin, Germany) Crossref, Google Scholar
• Wolfram S. Statistical mechanics of cellular automata. Rev. Modern Phys. (1983) 55:601–644Crossref, Google Scholar
• Wolfram S. Cellular automaton fluids: Basic theory. J. Statist. Phys. (1986) 45:471–526Crossref, Google Scholar
• Wolfram S.A New Kind of Science (1991) (Wolfram Media, Champaign, IL) Google Scholar