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Research into mixed services in mobile cellular networks is highly topical. However, to date, the analytical facility has been limited by the absence of closed forms for the random access (RA) protocols that are pervasive in mixed voice and data systems with a finite number of sessions. We research an RA protocol based on S-ALOHA with data as a session for mobile TDMA cellular networks and present an analytical framework. The paper begins with a general model description of a voice and data subsystem in which admission protocols are explained. An analytical framework is derived. An algorithm is then formulated that complements the analytical framework. The analysis is based on equilibrium-point-analysis (EPA) and is novel and topical. Numerical results are corroborated using a simulation in OPNET.