Diffusion limits of limited processor sharing queues

Details Diffusion limits of limited processor sharing queues Diffusion limits of limited processor sharing queues

2009-12-29

arxiv.org/abs/0912.5306v2

Annals of Applied Probability 2011, Vol. 21, No. 2, 745-799

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/10-AAP709 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/10-AAP709

We consider a processor sharing queue where the number of jobs served at any time is limited to $K$, with the excess jobs waiting in a buffer. We use random counting measures on the positive axis to model this system. The limit of this measure-valued process is obtained under diffusion scaling and heavy traffic conditions. As a consequence, the limit of the system size process is proved to be a piece-wise reflected Brownian motion.

Affiliated with

Also associated with

No associations

Rating

Diffusion limits of limited processor sharing queues does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Diffusion limits of limited processor sharing queues, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion limits of limited processor sharing queues will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-62939