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

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

2005-12-13

arxiv.org/abs/math/0512281v1

Mathematics

Probability

10 pages

Scientific paper

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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