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We propose and analyze spillover-partitioning call admission control (CAC) for servicing multiple service classes in mobile wireless networks for revenue optimization with quality of service (QoS) guarantees. We evaluate the performance of spillover-partitioning CAC in terms of execution speed and optimal revenue obtainable by comparing it with existing CAC algorithms, including partitioning, threshold, and partitioning-threshold hybrid admission control algorithms. We also investigate fast spillover-partitioning CAC which effectively trades off solution optimality for solution efficiency. We demonstrate through test cases that spillover-partitioning CAC outperforms existing CAC algorithms for revenue optimization with QoS guarantees in both solution optimality and solution efficiency for serving multiple QoS service classes in wireless networks.