A non-smooth model for signalized road network design problems |
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Authors: | Suh-Wen Chiou |
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Affiliation: | Department of Information Management, National Dong Hwa University, 1, Sec. 2, Da Hsueh Road, Shou-Feng, Hualien 97401, Taiwan |
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Abstract: | A signalized road network is considered where the set of link capacity expansions and signal setting variables are simultaneously determined. This paper addresses a new optimization scheme for a signalized road network design problem (SRNDP). A SRNDP can be formulated as a mathematical program with equilibrium constraints (MPEC) where user equilibrium is expressed as a variational inequality problem. Due to non-differentiability of the perturbed solutions in equilibrium constraints, a non-smooth model is established. A bundle subgradient projection (BSP) method is presented with global convergence. Numerical calculations are conducted on a real data city road network and large-scale grid networks where promising results are obtained. |
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Keywords: | Signalized road network Bundle method Non-smooth approach Subgradients Sensitivity analysis |
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