Capturing Dependency Among Link Boundaries in a Stochastic Dynamic Network Loading Model

References

• Ansorge R (1990) What does the entropy condition mean in traffic flow theory? Transportation Res. Part B 24(2):133–143.Crossref, Google Scholar
• Boel R, Mihaylova L (2006) A compositional stochastic model for real time freeway traffic simulation. Transportation Res. Part B 40(4):319–334.Crossref, Google Scholar
• Charypar D (2008) Efficient algorithms for the microsimulation of travel behavior in very large scenarios. Ph.D. thesis, Swiss Federal Institute of Technology Zurich, Zurich.Google Scholar
• Corthout R, Flötteröd G, Viti F, Tampere CMJ (2012) Non-unique flows in macroscopic first-order intersection models. Transportation Res. Part B 46(3):343–359.Crossref, Google Scholar
• Daganzo CF (1994) The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory. Transportation Res. Part B 28(4):269–287.Crossref, Google Scholar
• Daganzo CF (1995) A finite difference approximation of the kinematic wave model of traffic flow. Transportation Res. Part B 29(4):261–276.Crossref, Google Scholar
• Daganzo CF (2005) A variational formulation of kinematic waves: Basic theory and complex boundary conditions. Transportation Res. Part B 39(2):187–196.Crossref, Google Scholar
• Flötteröd G, Rohde J (2011) Operational macroscopic modeling of complex urban intersections. Transportation Res. Part B 45(6):903–922.Crossref, Google Scholar
• Flötteröd G, Bierlaire M, Nagel K (2011) Bayesian demand calibration for dynamic traffic simulations. Transportation Sci. 45(4):541–561.Link, Google Scholar
• Helbing D (2001) Traffic and related self-driven many-particle systems. Rev. Modern Physics 73:1067–1141.Crossref, Google Scholar
• Jabari SE, Liu HX (2012) A stochastic model of traffic flow: Theoretical foundations. Transportation Res. Part B 46(1):156–174.Crossref, Google Scholar
• Larson RC, Odoni AR (1981) Urban Operations Research (Prentice-Hall, Englewood Cliffs, NJ).Google Scholar
• Lebacque JP (1996) The Godunov scheme and what it means for first order traffic flow models. Lesort J-B, ed. Proc. 13th Internat. Sympos. Transportation Traffic Theory (Pergamon, Lyon, France), 647–667.Google Scholar
• Lebacque JP, Khoshyaran MM (2005) First–order macroscopic traffic flow models: Intersection modeling, network modeling. Mahmassani HS, ed. Proc. 16th Internat. Sympos. Transportation Traffic Theory (Emerald Group Publishing, Bingley, UK), 365–386.Google Scholar
• Lighthill MJ, Witham JB (1955) On kinematic waves II. A theory of traffic flow on long crowded roads. Proc. Roy. Soc. A 229(1178):317–345.Crossref, Google Scholar
• Nagel K, Nelson P (2005) A critical comparison of the kinematic-wave model with observational data. Mahmassani HS, ed. Proc. 16th Internat. Sympos. Transportation Traffic Theory (Emerald Group Publishing, Bingley, UK), 145–163.Crossref, Google Scholar
• Nelson P, Kumar N (2006) Point constriction, interface, and boundary conditions for kinematic-wave model. Transportation Res. Record 1965:60–69.Crossref, Google Scholar
• Newell GF (1993) A simplified theory of kinematic waves in highway traffic, part I: General theory. Transportation Res. Part B 27(4):281–287.Crossref, Google Scholar
• Osorio C, Bierlaire M (2013) A simulation-based optimization framework for urban transportation problems. Oper. Res. 61(6):1333–1345.Link, Google Scholar
• Osorio C, Flötteröd G, Bierlaire M (2011) Dynamic network loading: A stochastic differentiable model that derives link state distributions. Transportation Res. Part B 45(9):1410–1423.Crossref, Google Scholar
• Reibman A (1991) A splitting technique for Markov chain transient solution. Stewart WJ, ed. Numerical Solution of Markov Chains (Marcel Dekker, Inc., New York), 373–400.Google Scholar
• Richards PI (1956) Shock waves on the highway. Oper. Res. 4(1):42–51.Link, Google Scholar
• Sumalee A, Zhong RX, Pan TL, Szeto WY (2011) Stochastic cell transmission model (SCTM): A stochastic dynamic traffic model for traffic state surveillance and assignment. Transportation Res. Part B 45(3):507–533.Crossref, Google Scholar
• Tampere CMJ, van Arem B, Hoogendoorn SP (2003) Gas-kinetic flow modeling including continuous driver behavior models. Transportation Res. Record 1852:231–238.Crossref, Google Scholar
• Tampere CMJ, Corthout R, Cattrysse D, Immers LH (2011) A generic class of first order node models for dynamic macroscopic simulations of traffic flows. Transportation Res. Part B 45(1):289–309.Crossref, Google Scholar
• Yperman I (2007) The link transmission model for dynamic network loading. Ph.D. thesis, Katolieke Universiteit Leuven, Leuven, Belgium.Google Scholar
• Yperman I, Tampere C, Immers B (2007) A kinematic wave dynamic network loading model including intersection delays. Proc. 86 Annual Meeting Transportation Res. Board, Washington, DC.Google Scholar