Article ID Journal Published Year Pages File Type
4635566 Applied Mathematics and Computation 2007 8 Pages PDF
Abstract

An area traffic control optimization is considered where the signal setting variables and link flows are simultaneously determined. The optimal signal settings and network flows (OPSF) can be formulated as a mathematical program with equilibrium constraints (MPEC) where the user equilibrium is expressed as a variational inequality problem. Due to the non-differentiability of the perturbed solutions in equilibrium constraints, a non-smooth model is established. A Quasi–Newton subgradient projection is presented to effectively solve the OPSF with global convergence. Numerical calculations are conducted on an example network where promising results are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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