, Volume 72, Issue 2, pp 3032-3034

Diffusion approximation of systems with repeated calls and an unreliable server

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Abstract

We consider single-server queueing systems with repeated calls and an unreliable server, which may fail both when free and when busy. A central limit theorem and a diffusion approximation theorem are obtained for the queue as a time-dependent process in the case of a low rate of repeated calls.

Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 74, pp. 78–80, 1992;