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Computation of the limiting distribution in queueing systems with repeated attempts and disasters

J. R. ArtalejoA. Gómez-Corral — 2010

RAIRO - Operations Research

Single server queues with repeated attempts are useful in the modeling of computer and telecommunication systems. In addition, we consider in this paper the possibility of disasters. When a disaster occurs, all the customers present in the system are destroyed immediately. Using a regenerative approach, we derive a numerically stable recursion scheme for the state probabilities. This model can be employed to analyze the behaviour of a buffer in computers with virus infections.

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