A Novel Doubly Stochastic Transit Assignment Formulation: An Application to Singapore Bus Network

References

• Abdel-Aty, M.A., Kitamura, R. and Jovanis, P.P., Using Stated Preference Data for Studying the Effect of Advanced Traffic Information on Drivers’ Route Choice. Transportation Research Part C. Volume 5, No 1, pp39–50. Elsevier, USA (1997).
   Google Scholar
• Cascetta, E., Nuzzolo, A., Russo F., Vitetta, A., A New Route Choice Logit Model Overcoming IIA Problems: Specification and some Calibration Results for Interurban Networks. Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France. pp697–711. Pergamon, USA (1996).
   Google Scholar
• Cepeda, M., Corninetti, R. and Florian, M., A Frequency-based Assignment Model for Congested Transit Networks with Strict Capacity Constraints: Characterisation and Computation of Equilibria. Transportation Research Part B. Volume 40, No 6, pp437–459. Elsevier, USA (2006).
   Google Scholar
• Cominetti, R. and Correa, J., Common-lines and Passenger Assignment in Congested Transit Networks. Transportation Science. Volume 35, No 3, pp250–267. The Institute for Operations Research and the Management Sciences. USA (2001).
   Google Scholar
• De Cea, J. and Fernández, E., Transit Assignment for Congested Public Transport Systems: an Equilibrium Model. Transportation Science. Volume 27, No 2, pp133–147. The Institute for Operations Research and the Management Sciences. USA (1993).
   Google Scholar
• Jackson, W.B. and Jucker, J.V., An Empirical Study of Travel Time Variability and Travel Choice Behaviour. Transportation Science. Volume 16, No 4, pp460–475. The Institute for Operations Research and the Management Sciences. USA (1982).
   Google Scholar
• Lam, W.H.K., Gao, Z.Y., Chan, K.S. and Yang, H., A Stochastic User Equilibrium Assignment Model for Congested Transit Networks. Transportation Research Part B. Volume 33, No 5, pp351–368. Elsevier, USA (1999).
   Google Scholar
• Lam, W.H.K., Zhou, J. and Sheng, Z.H., A Capacity Restraint Transit Assignment with Elastic Line Frequency. Transportation Research Part B. Volume 36, No 10, pp919–938. Elsevier, USA (2002).
   Google Scholar
• Lo, H.K., Luo, X.W. and Siu, B.W.Y., Degradable Transport Network: Travel Time Budget of Travelers with Heterogeneous Risk Aversion. Transportation Research Part B. Volume 40, No 9, pp792–806. Elsevier, USA (2006).
   Google Scholar
• Nagurney, A. Network Economics: A Variational Inequality Approach. Kluwer Academic Publishers. USA (1999).
   Google Scholar
• Nguyen, S., Pallottino, S. and Malucelli, F., A Modelling Framework for Passenger Assignment on a Transport Network with Timetables. Transportation Science. Volume 35, No 3, pp238–249. The Institute for Operations Research and the Management Sciences. USA (2001).
   Google Scholar
• Nökel, K. and Wekeck, S., Boarding and Alighting in Frequency-based Transit Assignment. Paper presented at the 88th Annual Transportation Research Board Meeting. Washington D C. January (2009).
   Google Scholar
• Nuzzolo, A., Russo, F. and Crisallir, U., A Doubly Dynamic Schedule-based Assignment Model for Transit Networks. Transportation Science. Volume 35, No 3, pp268–285. The Institute for Operations Research and the Management Sciences. USA (2001).
   Google Scholar
• Poon, M.H., Wong, S.C. and Tong, C.O., A Dynamic Schedule-based Model for Congested Transit Networks. Transportation Research Part B. Volume 38, No 4, pp343–368. Elsevier, USA (2004).
   Google Scholar
• Ran, B. and Boyce, D., Modelling Dynamic Transportation Networks. An Intelligent Transportation System Oriented Approach. Springer-verlag. Germany (1996).
   Google Scholar
• Shao, H., Lam, W.H.K. and Tam, M., A Reliability-based Stochastic Traffic Assignment Model for Network with Multiple User Classes under Uncertainty in Demand. Networks and Spatial and Economics. Volume 6, No 3, pp173–204. Springer. The Netherlands (2006).
   Google Scholar
• Sheffi, Y., Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Prentice Hall. USA (1985).
   Google Scholar
• Spiess, H. and Florian, M., Optimal Strategies: a New Assignment Model for Transit Networks. Transportation Research Part B. Volume 23, No 2, pp83–102. Elsevier, USA (1989).
   Google Scholar
• Szeto, W.Y., O’Brien, L. and O’Mahony, M., Risk-averse Traffic Assignment with Elastic Demands: NCP Formulation and Solution Method for Assessing Performance Reliability. Network and Spatial Economics. Volume 6, No 3–4, pp313–332. Springer. The Netherlands (2006).
   Google Scholar
• Teklu, F., A Stochastic Process Approach for Frequency-based Transit Assignment with Strict Capacity Constraints. Networks and Spatial Economics. Volume 8, No 2, pp225–240. Springer. The Netherlands (2008).
   Google Scholar
• Yin, Y., Lam, W.H.K. and Ieda, H., New Technology and the Modelling of Risk Taking Behaviour in Congested Road Networks. Transportation Research Part C. Volume 12, No 3, pp171–192. Elsevier, USA (2004).
   Google Scholar