# On loss probabilities in presence of redundant packets and several traffic sources

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I. Kurkova

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### Résumé:

The effect of adding redundancy to an input stream on the losses
that occur due to the buffer overflow is studied.
We consider several sessions that generate traffic into a finite
capacity queue. Multi-dimensional generating functions of loss
probabilities
are derived explicitly. Then, using the asymptotic analysis, we
obtain good approximations of loss probabilities with very
low complexity of computation and memory and we investigate when
does adding redundancy decrease the loss probabilities.
For any stationary ergodic arrival sequence,
we also compute the required number of packets in block
and the amount of redundancy which allows to eliminate
the losses to an arbitrary small value.