Computation of Equilibrium Distributions of Markov Traffic-Assignment Models

Published Online:https://doi.org/10.1287/trsc.1030.0052

References

  • Bell M. G. H., Cassir C.Reliability of Transport Networks (2000) (Research Studies Press, Baldock, U.K.) Google Scholar
  • Ben-Akiva M., De Palma A., Kaysi I. Dynamic network models and driver information systems. Transportation Res. (1991) 25A:251–266CrossrefGoogle Scholar
  • Cantarella G. C., Cascetta E. Dynamic processes and equilibrium in transportation networks: Towards a unifying theory. Transportation Sci. (1995) 29:305–329LinkGoogle Scholar
  • Cascetta E. A stochastic process approach to the analysis of temporal dynamics in transportation networks. Transportation Res. (1989) 23B:1–17CrossrefGoogle Scholar
  • Clark S. D., Watling D. P. Probit based sensitivity analysis for general traffic networks. Transportation Res. Record (2000) 1733:88–95CrossrefGoogle Scholar
  • Daganzo C. F.Multinomial Probit: Theory and Its Application to Demand Forecasting (1979) (Academic Press, New York) Google Scholar
  • Daganzo C. F., Sheffi Y. On stochastic models of traffic assignment. Transportation Sci. (1977) 11:253–274LinkGoogle Scholar
  • Davis G. A., Nihan N. L. Large population approximations of a general stochastic traffic assignment model. Oper. Res. (1993) 41:169–178LinkGoogle Scholar
  • Emmerink R., Nijkamp P.Behavioural and Network Impacts of Driver Information Systems (1999) (Ashgate, Aldershot, U.K.) Google Scholar
  • Emmerink R. M. H., Axhausen K. W., Nijkamp P., Rietveld P. Effects of information in road networks with recurrent congestion. Transportation (1995) 22:21–53CrossrefGoogle Scholar
  • Gilks W. R., Richardson S., Spiegelhalter D. J.Markov Chain Monte Carlo in Practice (1996) (Chapman and Hall, London, U.K.) CrossrefGoogle Scholar
  • Hanson S., Huff J., Golledge R. C., Timmermans H. Repetition and day-to-day variability in individual travel patterns. Behavioural Modelling in Geography and Planning (1988) (Croom Helm, Kent, U.K.) Google Scholar
  • Hazelton M. L. Some remarks on stochastic user equilibrium. Transportation Res. (1998) 32B:101–108CrossrefGoogle Scholar
  • Hazelton M. L. Day-to-day variation in Markovian traffic assignment models. Transportation Res. (2002) 36B:61–72Google Scholar
  • Hazelton M. L., Lee S., Polak J. W., Baptiste J.-P. Stationary states in stochastic process models of traffic assignment: A Markov chain Monte Carlo approach. (1996) Proc. 13th Internat. Sympos. Transportation Traffic Theory(Pergamon Press, London, U.K.) 341–357Google Scholar
  • Horowitz J. L. The stability of stochastic equilibrium in a two link transportation network. Transportation Res. (1984) 8B:13–28CrossrefGoogle Scholar
  • Iida Y., Akiyama T., Uchida T. Experimental analysis of dynamic route choice behaviour. Transportation Res. (1992) 26B:17–32CrossrefGoogle Scholar
  • Mahmassani H. S., Jayakrishnan R. System performance and user response under real-time information in a congested traffic corridor. Transportation Res. (1991) 25A:293–308CrossrefGoogle Scholar
  • May A. D., Montgomery F. O. Factors affecting travel times on urban radial routes. Traffic Engrg. Control (1987) 28:452–458Google Scholar
  • Mohammadi R. Journey time variability in the London area. Traffic Engrg. Control (1997) 38:250–257Google Scholar
  • Nagel K., Barrett C. Using microsimulation feedback for trip adaptation for realistic traffic in Dallas. Internat. J. Modern Phys. (1997) 8:505–525CrossrefGoogle Scholar
  • Ran B., Boyce D. E.Dynamic Urban Transportation Network Models (1996) (Springer-Verlag, Berlin, Germany) CrossrefGoogle Scholar
  • Sheffi Y.Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods (1985) (Prentice-Hall, Englewood Cliffs NJ.) Google Scholar
  • Smith J. P. TRANSIMS feedback modelling. TRB 80th Annual Meeting (2001) January 7–11(Washington, D.C.)Google Scholar
  • van der Vaart A. W.Asymptotic Statistics (1998) (Cambridge University Press, Cambridge U.K.) CrossrefGoogle Scholar
  • Wardrop J. G. Some theoretical aspects of road traffic research. Proc. Inst. Civil Engineers (1952) II(1):325–378CrossrefGoogle Scholar
  • Watling D. P. Stability of the stochastic assignment problem: A dynamical systems approach. Transportation Res. (1999) 33B:281–312CrossrefGoogle Scholar
  • Watling D. P. A second order stochastic network equilibrium model I: Theoretical foundation. Transportation Sci. (2002) 36:149–166LinkGoogle Scholar
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