A Second Order Stochastic Network Equilibrium Model, II: Solution Method and Numerical Experiments

References

• Bell M. G. H., Cassir C.Reliability of Transport Networks (2000) (Research Studies Press Ltd., Baldock, U.K) Google Scholar
• Cantarella G. E., Cascetta E. Dynamic processes and equilibrium in transportation networks: Towards a unifying theory. Transportation Sci. (1995) 29(4):305–329Link, Google Scholar
• Cascetta E. A stochastic process approach to the analysis of temporal dynamics in transportation networks. Transportation Res. (1989) 23B(1):1–17Crossref, Google Scholar
• Cascetta E., Nuzzolo A., Russo F., Vitetta A., Lesort J. A modified logit route choice model overcoming path overlapping problems. Transportation and Traffic Theory (1996) (Pergamon, Oxford, U.K.) 697–712Google Scholar
• Daganzo C. F. Unconstrained extremal formulation of some transportation equilibrium problems. Transportation Sci. (1982) 16(3):332–360Link, Google Scholar
• Davis G. A., Nihan N. L. Large population approximations of a general stochastic traffic assignment model. Oper. Res. (1993) 41(1):169–178Link, Google Scholar
• LeBlanc L. J. An algorithm for the discrete network design problem. Transportation Sci. (1975) 9:183–199Link, Google Scholar
• Liu R., Van Vliet D., Watling D. P. DRACULA: A microscopic, day-to-day dynamic framework for modelling traffic networks. (1999) . Working paper, Institute for Transport Studies, University of Leeds, U.KGoogle Scholar
• Mirchandani R., Soroush H. Generalized traffic equilibrium with probabilistic travel times and perceptions. Transportation Sci. (1987) 21(3):133–152Link, Google Scholar
• Nagel K., Barrett C. L. Using microsimulation feedback for trip adaptation for realistic traffic in Dallas. (1997) . TRANSIMS Working paper LA-UR 97-1334, Los Alamos National LaboratoryGoogle Scholar
• Ran B., Boyce D. E.Dynamic Urban Transportation Network Models (1996) (Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
• Sheffi Y.Urban Transportation Networks (1985) (Prentice-Hall, Englewood Cliffs, New Jersey) Google Scholar
• Smith M. J. The stability of a dynamic model of traffic assignment-An application of a method of Lyapunov. Transportation Sci. (1984) 18(3):245–252Link, Google Scholar
• Suwansirikul C., Friesz T. L., Tobin R. L. Equilibrium decomposed optimization: A heuristic for the continuous equilibrium network design problem. Transportation Sci. (1987) 21(4):254–263Link, Google Scholar
• Van Vliet D.SATURN User Guide (1995) (Institute for Transport Studies, University of Leeds, U.K.) Google Scholar
• Van Vuren T., Van Vliet D.Route Choice and Signal Control (1992) (Avebury, Aldershot, U.K.) Google Scholar
• Watling D. P. Stability of the asymmetric stochastic equilibrium assignment model: A dynamical systems approach. Transportation Res. (1999) 33B(4):281–312Crossref, Google Scholar
• Watling D. P. A second order stochastic network equilibrium model, I: Theoretical foundation. Transportation Sci. (2002) 36(2Google Scholar