We state some stochastic comparison results for the loss probabilities and the time to live in a tandem network with two queues. We consider such a network under batch arrivals and constant service time. We show that making the service capacity of the first queue finite will improve the performance. More precisely, we derive stochastic bounds for the accumulated number of losses without any assumptions on the input traffic.
CITATION STYLE
Ait Salaht, F., Castel Taleb, H., Fourneau, J. M., Mautor, T., & Pekergin, N. (2015). Smoothing the input process in a batch queue. In Lecture Notes in Electrical Engineering (Vol. 363, pp. 223–232). Springer Verlag. https://doi.org/10.1007/978-3-319-22635-4_20
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