Abstract

This chapter presents a unified description of transportation network optimizations problems with user equilibrium constraints. Specifically, the network link capacity expansion problem, the road toll pricing problem and the optimal signal-timing problems are discussed in the chapter. The traditional bi-level model formulation of these problems is transformed into a single-level continuously differential problem using a marginal function approach. An efficient partially penalized method is used to solve the resulting single-level differentiable optimization problems. The methods are illustrated with simple analytical examples. The marginal function approach proves to be very promising for dealing with transportation network optimization problems with user equilibrium constraints.

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