Abstract
In this paper, a dynamic system-optimal traffic assignment model is formulated as a convex control problem for a congested general network with many origins and many destinations. Analytical and computational difficulties caused by the nonconvexity of the previous models are eliminated. The modeling of arc traffic dynamics is improved to prohibit instantaneous flow propagation on each arc even though the concave exit functions are still employed to represent the physical process of traffic congestion. An economic interpretation of the optimality conditions is given as a dynamic assignment principle which requires equilibration of actual marginal costs on all the paths that are used. A numerical example is also presented.
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