We have proposed a novel Call Admission Control (CAC) to maximize total user satisfaction in a heterogeneous traffic network and showed the effectiveness of our CAC by using optimal-threshold from numerical analysis. In our previous CAC, when a new broadband flow arrived and if total accommodated bandwidth was more than or equal to the threshold, the arriving new broadband flow was rejected. In actual networks, however, users may accept to wait for a certain period until the broadband flow, such as video, begins to play. In this paper, when total accommodated bandwidth was more than or equal to the threshold, arriving broadband flows wait instead being rejected. As a result, we can greatly improve total user satisfaction.