For the applications of grouping communications, the dispatch systems, also known as the trunked radio systems, are applied to provide the one-to-many two-way half-duplex services. Due to the existing numerous subscribers, it is favorable to provide the grouping communication services in mobile cellular systems. In this work, the subject of integrating the trunked radio services into mobile cellular systems is investigated. A system model for trunked radio services in multi-cell cellular systems has been proposed. Some simulation results, based on quality of service, are provided. The simulation results can benefit the system planning and radio resource management.