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This paper researches a random access (RA) protocol based on S-ALOHA with capture mode with a class of data that consists of a finite number of open sessions with a general distribution for mobile TDMA cellular networks and presents an analytical framework. The channel is shared in mixed voice and data. The work considers users that contend in the uplink using the RA protocol based on S-ALOHA and contention takes places every Nc frame. The analysis is based on equilibrium-point-analysis (EPA) and is novel and topical. Numerical results are corroborated by simulation.