Abstract
In this paper, we propose a new approximate method using the affine scaling(AS) algorithm for the quadratic assignment problem(QAP). By relaxing the 0-1 valued constraint of the problem, we apply the AS algorithm to it. This method can use a large step-size and find the next solution in the AS direction within the feasible region. Through some experiments, we verified that the proposed method was more effective in solving the QAP than conventional methods.