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3GPP is in the process of defining the Long-Term Evolution (LTE) for 3G radio access in order to maintain the future competitiveness for 3G technology. In this paper, we consider packet scheduling for the 3GPP LTE downlink in a multiuser OFDMA environment. The quality of service (QoS) concept proposed for LTE is a realization of Diffserv for 3GPP access networks, where each QoS class is associated with a policy profile. Our main goal is to design 3GPP LTE scheduler within this Diffserv context under realistic traffic models such as file transfer and web browsing. Our obtained results show that the associated Diffserv polices can enforced and hence provide an effective way of dividing bandwidth between QoS classes. We further show possible benefits of having service-dependent scheduling algorithms.