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A linear model for evaluating the performance of adaptive resource allocation and user scheduling regarding a single-cell downlink SISO-OFDMA packet data network like LTE is developed in this paper. Based on this model several power, bit, frequency block and frame allocation approaches are examined and the corresponding performance upper bounds are numerically extracted. We put a special emphasis on equal power allocation and single modulation mode per user approaches, since they are proposed by the 3GPP standardization body. The individual and joint effect of each system degree of freedom to the overall performance is thoroughly discussed. The merit of the specific model is that it provides us with the performance upper bounds spending polynomial execution time.