THESIS
2010
x, 50 p. : ill. ; 30 cm
Abstract
Transportation user equilibrium is one important topic in transportation traffic assignment, which applied the Beckmann Transformation in 1956. Such formulation of minimization fulfils the Wardorps Equilibrium by the deduction from the Karush-Kuhn-Tucker (KKT) conditions....[
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Transportation user equilibrium is one important topic in transportation traffic assignment, which applied the Beckmann Transformation in 1956. Such formulation of minimization fulfils the Wardorps Equilibrium by the deduction from the Karush-Kuhn-Tucker (KKT) conditions.
In this thesis, an althernative approach of mathematical programming on equilibrium constraints (MPEC) will be proposed in solving the user equilibrium. One of the difficulties of MPEC problem is dealing with the complementarities constraints, who will lead to Karush-Kuhn-Tucker (KKT) conditions failure to hold at local minimizer. A smoothed Fischer-Burmeister function is applied and global convergence is considered, in re-formulating the whole transportation user equilibrium optimization problem, which could be easily implemented and solved by MATLAB.
Numerical implementations and examples will continue in the different applications of the smoothed Fischer-Burmeister transportation optimization problem, includes user equilibrium evaluations and optimal toll pricing.
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