Dynamic user optimal traffic assignment on congested multidestination networks

摘要: Abstract An equivalent continuous time optimal control problem is formulated to predict the temporal evolution of traffic flow pattern on a congested multiple origin-destination network, corresponding dynamic generalization Wardropian user equilibrium. Optimality conditions are derived using Pontryagin minimum principle and given economic interpretations, which generalizations similar results previously reported for single-destination networks. Analyses sufficient optimality singular controls also given. Under steady-state assumptions, model shown be proper extension Beckmann's mathematical programming static equilibrium assignment.