The performance of a random access telecommunication system with repeated calls in steady state is modeled by a G/G/K loss system with generally distributed interarrival times, generally distributed processing times, K parallel heterogeneous processors, no buffer, the random access processing discipline, and retrials. In this system, a fraction of the calls which initially have not been processed will be allowed to be reprocessed. The performance of the loss system with the random access processing discipline is then approximated with the performance of a compatible loss system with the ordered entry processing discipline in steady state. For this purpose, the superposition arrival process, the overflow processes from each server and the loss system, and the departure processes from each server and the loss system are approximated with compatible phase type renewal processes. The performance of the telecommunication system is then approximated by a recursive technique. Furthermore, numerical results are provided and the approximation outcomes are compared against those from a simulation study.
