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A hierarchical cellular network carrying multiple service classes (voice conversational and data streaming services) is considered, where a dynamic channel assignment is implemented. In the dynamic channel assignment scheme, the bandwidth of data streaming services can be dynamically allocated according to the current traffic loading in the system, and the different quality of service (QoS) requirement from diverse applications is guaranteed through dual threshold bandwidth reservation (DTBR). The main contribution of this paper is that an efficient and reasonably accurate user-classified (fast user and slow user) analytical method instead of the general layer-classified (macrocell layer and microcell layer) is proposed to calculate the system performance. In particular, the user-classified analytical method take into account not only the dependence among multiple service classes (voice and data services) of the same class users (fast users or slow users) but also the correlation among different classes users. Both analysis and simulation results indicate that, dynamic channel assignment improve the performance of hierarchical cellular network and by adjusting the threshold values in the DTBR, it is capable of satisfying different QoS requirements for voice and data services.