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Most of IEEE 802.16e resource allocation proposals only focus on how to allocate the resources to meet QoS parameters such as throughput, delay, and delay-jitter. As described in the standard, the mapping from the allocation into downlink subframe for each burst needs to be in a rectangular shape. The rectangular mapping problem is a variation of a bin or strip packing problem, which is known to be NP complete. However, the mapping decision needs to be made within a few milliseconds for each Mobile WiMAX frame.
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