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The integration of ethernet passive optical networks (EPONs) and IEEE 802.16 has been lately presented as a promising candidate for next-generation broadband access. This paper investigates the performance of the integrated carrier when specific service bundles (SBs) with bandwidth guarantee and diverse quality of service requirements are provisioned. We first present a novel framework that fairly distributes the upstream network capacity among the different SBs. We then propose a novel delay-based admission control scheme to increase the network utilization and enable an inter-SB statistical multiplexing. To obtain the expected delay of each SB stream, a generic analytical model is developed. Based on this model, we further formulate some important performance measures such as queuing delay, end-to-end (from wireless user to the central office of PON) delay, average queue size and optimal orthogonal frequency division multiplexing frame length. Numerical results validate our analysis and highlight the advantages of the proposed solution.