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This note provides some extensions of recent work by Delbrouck, which dealt with a queuing model of a feedback system with queue-dependent service times. The emphasis of this present work is upon necessary and sufficient conditions for ergodicity, the relationship of the imbedded and general-time queuing processes, and the relaxation of the extent of state… (More)
who provided helpful comments on earlier versions of this paper. Isabelle Duong and Caroline de Tombeur provided valuable help for the final preparation of the paper. Any remaining errors are the responsibility of the author .