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Designing a good joint radio resource management (JRRM) is a major challenge in heterogeneous wireless networks. Many analytical as well as simulation models of heterogeneous wireless networks are not based on fairly realistic assumptions so that the research outputs may be less practical. We design a JRRM taking into consideration different features of component access technologies in a heterogeneous wireless environment. We also consider different important realistic features of access networks, such as asymmetry of their overlap and the variability of network resources according to traffic conditions. We use the network simulator (NS-2) to validate our design. The simulation results show that the blocking probability improves when different considerations are taken into account.