Packet-switched networks have recently replaced circuit-switched networks unifying the way voice and data are carried through those networks. Due to such a new switching concept, challenges related to new applications with different quality requirements have arisen and attracted much attention of computer network researchers. Among the mechanisms used to provide quality of service in those networks, the one chosen in this research is the router’s packet scheduler. The concept that governs packet schedulers is queuing scheduling discipline. In this research, a new queuing scheduling discipline is proposed where packets are scheduled based on a performance indicator that evaluates the user’s satisfaction with the service contracted. That performance indicator is a well-known economic function called utility function. The system considered on this research is focused on the operation of a telecommunications service provider network’s border router where users request FTP, VoIP and HTTP services. Simulation results show that the performance of the proposed service discipline is comparable, but not always to a satisfactory degree, when compared with other service disciplines found in the literature. Some suggestions for future research are added in this dissertation, in order to improve the performance of the proposed service discipline, but they have not been tested due to space and time limitations.