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Nowadays, a lot of radio access technologies (RAT) have been deployed. In order to achieve a seamless integration between these different RATs, common radio resource management (CRRM) algorithms are considered to be deployed in such heterogeneous wireless networks. This paper provides a complete analytical approach to determine the performance of different RAT with selection procedures in multi-RAT/multi-service environment. Particularly, multi-dimensional Markovian model was used to perform a complete derivation for the system state probabilities. The allocation of voice and data services in both of GERAN/UTRAN systems, will be considered. In addition numerical results was illustrated for different operational scenarios for such heterogeneous system.