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Explicit formulas for the moments of the sojourn time in the M/G/1 processor sharing queue with permanent jobs

S. F. Yashkov
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Abstract

We give some representation about recent achievements in analysis of the M/G/1 queue with egalitarian processor sharing discipline (EPS). The new formmulas are derived for the j-th moments (j=1,2,...) of the (conditional) stationary sojourn time in the M/G/1--EPS queue with K (K=0,1,2,...) permanent jobs of infinite size. We discuss also how to simplify the computations of the moments.

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S. F. Yashkov. 2005-12-13. Explicit formulas for the moments of the sojourn time in the M/G/1 processor sharing queue with permanent jobs. https://arxiv.org/abs/math/0512281

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