Article ID: | iaor2009512 |
Country: | Netherlands |
Volume: | 195 |
Issue: | 2 |
Start Page Number: | 382 |
End Page Number: | 391 |
Publication Date: | Feb 2008 |
Journal: | Applied Mathematics and Computation |
Authors: | Chiou Suh-Wen |
Keywords: | optimization |
This paper addresses a new optimization scheme designed for a congestion pricing road network with variable demands (CPRAM). A congestion pricing road network with variable demands can be formulated as a mathematical program with equilibrium constraints where the user equilibrium with variable demands is expressed as a variational inequality problem. Due to the non-differentiability of the perturbed solutions in equilibrium constraints, a non-smooth optimization model is established. A generalized bundle subgradient projection method is presented to solve the CPRAM with global convergence.