Abstract

In the discriminatory processor-sharing (DPS) system with a single processor and K job classes, all jobs present in the system are served simultaneously with rates controlled by a vector of weights {g <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">j </sub> >0; j=1,middotmiddotmiddot, K}. When all g <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">j</sub> is equal, the DPS system reduces to the egalitarian processor-sharing (PS) system. In this paper we show how the weights of DPS must be chosen in order to make DPS outperform PS.

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