1. A cellular mobile communications system for establishing wireless connections in a plurality of cells comprising: means for receiving call requests from said cells, which are grouped in at least one cell-cluster, said call requests including requests for establishing new wireless connections of different connection types, said connection types indicative of at least priorities of use of wireless channels in said system; means for providing for each cell-cluster information including at least one combination of maximum numbers of wireless connections of said different connection types in the cell-cluster; and means for granting a selected call request including a request for establishing a new wireless connection of one of said different connection types, the grant of said selected call request based on a comparison of (a) the at least one combination of maximum connection numbers provided for a particular cell-cluster including the cell from which said selected call request was received, with (b) a combination of numbers of wireless connections of said different connection types currently established in said particular cell-cluster.