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Multi-standard radio resource management (MxRRM), based on a user data rate optimised algorithm, is studied for non-real-time (NRT) services in a heterogeneous WiMAX/UMTS/GSM scenario. This algorithm utilises a parameter, namely NRT load information, which is mapped from the average user throughput in a respective network. The performance level of MxRRM is assessed through a network simulator. A WiMAX cell covers a hotspot area in the co-located GSM/EDGE and UMTS/HSDPA networks. The load redistribution, the mean data rate and the intersystem handover activity are investigated in three scenarios: a) completely separate systems, b) separate WiMAX and MxRRM for GSM and UMTS, and c) MxRRM for these three radio access networks. An additional preliminary default access network selection utilises the network's knowledge about the capacity variety and the load status of the heterogeneous networks. Simulation results have shown a promising gain of mean data rate and a significant reduction of intersystem handover rate.