TRAFFIC NETWORK EQUILIBRIUM MODEL, CAPABLE OF REMOVING A TRAFFIC NETWORK BALANCE PROBLEM DUE TO IMPOSITION OF A CONGESTION CHARGE TO ENTRY/EXIT

摘要

PURPOSE: A traffic network equilibrium model is provided to remove a need of network transformation using an indicator variable and use a charge variable, thereby reflecting various a congestion charge based on various entry/exit.;CONSTITUTION: An equilibrium model is expressed by mathematical formula 5. Charges of paths used in an equilibrium state are all the same. A solution obtained by formula 5 is only one. Uniqueness of the solution is proven. An existing Frank-Wolfe algorithm is used to solve a problem suggested in the equilibrium model. The Frank-Wolfe algorithm is largely composed of 2 steps of linear searching and directional searching.;COPYRIGHT KIPO 2011