An Analytical Model for Traffic Delays and the Dynamic User Equilibrium Problem
Operations Research
Discrete-time dynamic traffic assignment models with periodic planning horizon: system optimum
Journal of Global Optimization
A robust transportation signal control problem accounting for traffic dynamics
Computers and Operations Research
A node-based modeling approach for the continuous dynamic network loading problem
IEEE Transactions on Intelligent Transportation Systems
Modelling of traffic flow and air pollution emission with application to Hong Kong Island
Environmental Modelling & Software
Lane-changing in a mesoscopic, cell-transmission traffic simulator
MS '08 Proceedings of the 19th IASTED International Conference on Modelling and Simulation
IEEE Transactions on Intelligent Transportation Systems
Robotic load balancing for mobility-on-demand systems
International Journal of Robotics Research
Cell-transmission-based evacuation planning with rescue teams
Journal of Heuristics
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Recently, Daganzo introduced the cell transmission model--a simple approach for modeling highway traffic flow consistent with the hydrodynamic model. In this paper, we use the cell transmission model to formulate the single destination System Optimum Dynamic Traffic Assignment (SO DTA) problem as a Linear Program (LP). We demonstrate that the model can obtain insights into the DTA problem, and we address various related issues, such as the concept of marginal travel time in a dynamic network and system optimum necessary and sufficient conditions. The model is limited to one destination and, although it can account for traffic realities as they are captured by the cell transmission model, it is not presented as an operational model for actual applications. The main objective of the paper is to demonstrate that the DTA problem can be modeled as an LP, which allows the vast existing literature on LP to be used to better understand and compute DTA. A numerical example illustrates the simplicity and applicability of the proposed approach.