Abstract— Packet delay and bandwidth are two important metrics for measuring quality of service (QoS) of Internet services. Traditionally, packet delay differentiation and fair bandwidth sharing are studied separately. In this paper, we first propose a generalized model for providing fair bandwidth sharing with delay differentiation, namely FBS-DD. It essentially aims to provide multi-dimensional proportional differentiation with respect to both QoS metrics at the same time. We design packet scheduling schemes that take both packet delay and packet size into considerations, without assuming admission control. Furthermore, we propose a control-theoretic buffer management scheme. The packet scheduling with buffer management approach provides delay and bandwidth differentiation in an integrated way, while existing approaches consider delay and loss rate differentiation as orthogonal issues. It enhances the flexibility of network resource management and multi-dimensional QoS provisioni...