The resource (bandwidth) allocation in a network is usually casted into a so-called network utility maximization (NUM) problem, which solution strategy has successfully generated distributed algorithms for congestion controlling of elastic traffic in a wire-lined network. However, for resource allocation of inelastic traffic including soft QoS (quality of service) traffic in a wireless network, this approach still faces challenges. First, it is hard for the wireless system to dynamically model the utility function of the users. Second, the util...