Diffusion approximation of systems with repeated calls and an unreliable server
- Cite this article as:
- Anisimov, V.V. & Atadzhanov, K.L. J Math Sci (1994) 72: 3032. doi:10.1007/BF01252189
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.