Bounding superposed on - off sources - Variability ordering and majorization to the rescue by Armand M .
نویسنده
چکیده
We consider the problem of bounding the loss rate of the aggregation of independent on-off sources in a bufferless model by the loss rate resulting from the aggregation of i.i.d. on-off sources. This is done through a unified framework based on the interplay of well-known results from the theory of variability orderings with the concept of majorization ordering. In particular, we use a basic comparison result to readily derive a bound of Rasmussen et al. for heterogeneous sources and an upper bound of Mao and Habibi for homogeneous sources, and to discuss a second upper bound proposed by these authors. It is argued that this conjectured upperbound is too tight in general, and should be replaced by new and provably correct upper bound.
منابع مشابه
Bounding superposed on - off sources - Variability ordering and majorization to the rescue by Armand M . Makowski CSHCN TR 2003 - 19 ( ISR TR 2003 - 38 )
We consider the problem of bounding the loss rate of the aggregation of independent on-off sources in a bufferless model by the loss rate resulting from the aggregation of i.i.d. on-off sources. This is done through a unified framework based on the interplay of well-known results from the theory of variability orderings with the concept of majorization ordering. In particular, we use a basic co...
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