Transportation demand theory, supply theory and their interaction, transportation network and its analysis, shortest-path algorithm, concept in minimization problems and convex optimization, mathematical formulation of user equilibrium (UE) and System optimal (SO) traffic assignment methods, Uniqueness of UE and SO traffic assignment, solution of UE and SO traffic assignment, traffic assignment with variable demand and link-interaction, combined distribution-assignment models, Supernetworks, Stochastic network loading and stochastic user-equilibrium, multi-class assignment, basics of optimal network geometry and non-convex functions, concept of dynamic traffic assignment, brief introduction of probabilistic modelling, Queuing theory and its applications, spatially distributed queues, application of network models, Simulation in the urban context.
Reference Books:
- YosefSheffi, Urban Transportation Networks
- Transportation Systems Engineering: Theory and Methods by Ennio Cascetta
- Marvin L. Manheim, Fundamentals Of Transportation Systems Analysis, Volume 1
- Urban travel demand modelling by Norbert Oppenheim
- Urban Operations Research by Larson and Odoni
- Ran, B., and Boyce, D. E., Modeling Dynamic Transportation Network - An Intelligent Transportation System Oriented Approach, Springer-Verlag, Heidelberg
- TRANSCAD and TransModeller, VISSIM and VISSUM
|