Optimal design of signal-controlled road network

An optimal design of signalized road network is considered where total travelers’ delay is minimized subject to user equilibrium flow. This problem can be formulated as an optimization problem by taking the user equilibrium traffic assignment as a constraint. In this paper, a projected conjugate gradient method is presented to solve the signalized road network problem with global convergence. Numerical examples are investigated on simple grid road network. As it shows, the proposed method achieved substantially better performance than did traditional approaches when solving the signalized road network design problem with equilibrium flows.