S.F. Yashkov and  A.S. Yashkova

Some Extension of the Heavy Traffic Limit Theorem for the M/G/1EPS Queue

We extend the heavy traffic limit theorem for the stationary sojourn time distribution, suitably scaled, in the M/G/1 egalitarian processor sharing (EPS) queue  to the case when the M/G/1EPS queue is modified by having K 0 extra permanent jobs with infinite sizes.