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The paper proposes a new analytical approach to blocking probability calculation in wireless mobile networks with bandwidth reservation and connection handoff mechanisms, carrying a mixture of different traffic streams. This mixture can be composed of an arbitrary number of traffic classes, generated by a finite as well as an infinite population of traffic sources. The appropriate bandwidth reservation algorithm for a group of cells, exploiting the effects of connection handoff between cells, is also proposed. The results of analytical calculations of blocking probability in a group of UMTS cells with bandwidth reservation are compared with simulation data.