Single server stochastic recirculation systems

A recursive methodology is suggested for approximating the asymptotic performance of a single server recirculation system. A single server recirculation system is modeled by a G/G/1/0 queueing loss system with generally distributed interarrivai times, generally distributed service times, a single server, no waiting room, first come first served queueing discipline, and retrials. In this queueing system, the units which initially are not processed by the server are not lost. These units retry to receive service by retrying. Furthermore, numerical results are provided and the approximation outcomes are compared against those from a simulation study.