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Optimization of a nonlinear area traffic control system with elastic demand. (English) Zbl 1205.90074
Summary: An area traffic control network system is considered. Optimal signal settings can be determined while trip rates and network flow are in equilibrium. This problem can be formulated as a nonlinear mathematical program with equilibrium constraints. For the objective function, the system performance can be defined as a function of signal setting variables. For the constraint set, a user equilibrium traffic assignment with elastic demand obeying Wardrop’s first principle is formulated as a variational inequality problem. Due to the nonlinearity and non-differentiability of the perturbed solutions in equilibrium constraints, a non-smooth approach is investigated in this paper. Numerical tests are performed using a variety of example road networks to quantify the effectiveness and robustness of the proposed method.
MSC:
90B20Traffic problems
90C30Nonlinear programming