Abstract
The paper investigates a multiserver queueing system with feedback and a computer used as an information processing unit. A simple model is proposed and fundamental equations describing the probabilistic behavior of the system in statistical equilibrium state are derived. Generating function for the stationary state probabilities is also given. Furthermore, by using the generating function, a necessary and sufficient condition for the existence of statistical equilibrium is obtained. In the limiting case when the access cycle becomes zero the queueing system considered reduce to an Erlang system. It is hoped that some of the results may serve as a guideline in the design of time-sharing systems for choice of a proper access cycle and for simulation.
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