Streaming service is becoming more popular for many users to access multimedia content. With different demand of clients and different service charge given, streaming servers must provide different levels of quality of service (QoS) and apply more effective resource management scheme. This paper proposes an enhanced model of harmonic proportional bandwidth allocation scheme to re-utilize the released bandwidth. Our proposed strategy uses one part (defined as β) of the released bandwidth to raise service quality of clients and increase total bandwidth utilization. The rest part (i.e., 1-β) of the released bandwidth reduces the delay time of clients by serving more clients who are not allowed to be served originally, where β is between 0 and 1. In the simulation, we discuss what the value of β is better when simultaneously considering the two factors including the total bandwidth utilization and the delay time of users, respectively. Furthermore, our proposed strategy is validated through the simulation that the high utilization and lower delay time properties for streaming servers can be obtained no matter whether the probability of clients that leave services is high or low even in different request scheduling policies.