Future wireless networks need to support different service Requirements. However, the exiting methods of specifying QoS commitments, namely qualitative commitment and quantitative commitment are not perfect for a wireless communication environment. In this paper, we propose a new concept called compound QoS commitment which combines qualitative and quantitative commitments within a single service commitment. As such, the proposed concept can provide a practical approach to deal with the highly variable wireless network capacity. Since each compound QoS commitment has two degrees of freedom, it may also increase the flexibility in committing an achievable QoS. In order to show the feasibility of the proposed concept, we present a scheduling algorithm which can simultaneously provide a proportional dropping ratio guarantee and a deterministic upper delay guarantee to a flow. Numerical results confirm that the algorithm is capable of delivering the two guarantees simultaneously.