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Next generation wireless code division multiple access (CDMA) networks are required to support packet multimedia traffic. This paper addresses the connection admission control problem for multi-service packet traffic, modeled as a Markov modulated Poisson process (MMPP) with the quality of service (QoS) requirements on both physical layer signal-to-interference (SIR) and network layer blocking probability. Optimal linear-programming-based algorithms are presented that take into account SIR outage probability constraints. By exploiting the MMPP traffic models and introducing a small SIR outage probability, the proposed algorithms can dramatically improve the network utilization. Numerical examples illustrating the performance of the proposed schemes are presented.