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The IEEE 802.16e World Interoperability for Microwave Access (WiMax) system plays an important role in the future wireless metropolitan area network (WMAN). Orthogonal frequency division multiple access (OFDMA), adopted in the IEEE 802.16e WiMax system, has many advantages in the physical layer and also poses many challenges for radio resource allocation. One of interesting radio resource allocation issue in the OFDMA system is to partition the overall radio resource (bandwidth and timedoi:10.1109/tmc.2008.96 fatcat:pdu42wn6hbfylal7dsgj4foefm