A Second Order Stochastic Network Equilibrium Model, I: Theoretical Foundation

References

• Arnott A., de Palma R., Lindsey R. Does providing information to drivers reduce traffic congestion? Transportation Res. (1991) 25A(5):309–318Crossref, Google Scholar
• Baiocchi C., Capelo A.Variational and Quasivariational Inequalities (1984) (John Wiley & Sons, Chichester, U.K.) Google Scholar
• Bell M. G. H. Expected equilibrium assignment under stochastic demand. 23rd Univ. Transport Stud. Group Annual Conf. (1991) (Nottingham, U.K.). Unpublished paper presented atGoogle Scholar
• Ben-Akiva M., Lerman S. R.Discrete Choice Analysis (1985) (MIT Press, Cambridge, MA) 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
• Daganzo C. F. Some statistical problems in connection with traffic assignment. Transportation Res. (1977) 11(6):385–389Crossref, Google Scholar
• Daganzo C. F.Multinomial Probit (1979) (Academic Press, New York) Google Scholar
• Daganzo C. F., Sheffi Y. On stochastic models of traffic assignment. Transportation Sci. (1977) 11(3):253–274Link, 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
• Emmerink R. H. M., Nijkamp P., Rietveld P. Perception and uncertainty in stochastic network equilibrium models. (1995) (Tinbergen Institute, Free University, Amsterdam, The Netherlands) . Paper TI 95-159Google Scholar
• Mirchandani P., Soroush H. Generalized traffic equilibrium with probabilistic travel times and perceptions. Transportation Sci. (1987) 21(3):133–152Link, Google Scholar
• Sheffi Y.Urban Transportation Networks (1985) (Prentice-Hall, New Jersey) Google Scholar
• Smith M. J. Existence, uniqueness and stability of traffic equilibrium. Transportation Res. (1979) 13B:245–250Google Scholar
• Stuart A., Ord J. K.Kendall's Advanced Theory of Statistics: Volume 1 (1987) (Charles Griffin Ltd., London, U.K.) Google Scholar
• Van Berkum E., Van der Mede P.The Impact of Traffic Information: Dynamics in Route and Departure Time Choice (1993) (CIP-Gegevens Koninklijke Bibiotheek, Den Haag, The Netherlands) Google Scholar
• Watling D. P. Stochastic network equilibrium under stochastic demand. 6th Meeting of EURO Working Group on Transportation (1998) Gothenburg, SwedenPresented atGoogle Scholar
• Watling D. P. Traffic assignment with stochastic flows and the estimation of travel time reliability. 2nd Internat. Workshop on Network Reliability (1999) Newcastle, U.K.Presented atGoogle Scholar
• Watling D. P. A second order stochastic network equilibrium model II: Solution method and numerical experiments. Transportation Sci. (2002) 36(2Google Scholar