抄録
We consider the traffic assignnment problem on road networks consisting of ordinary roads and express tollways. Existing models of the traffic assignment under the principle of "user optimization" have treated a travel time as the only cost considered by travellers. In this paper we present a model in which both the travel time and the expressway tolls are considered, and formulate it as a mathmatical programming problem. Then, for this problem, we propose a simple algorithm based on the column generation technique and show some numerical results of this proposed algorithm applied to small scale problems.