Barabasi Queueing Model and Invasion Percolation on a tree

Details Barabasi Queueing Model and Invasion Percolation on a tree Barabasi Queueing Model and Invasion Percolation on a tree

2008-07-09

arxiv.org/abs/0807.1426v1

Physics

Physics and Society

4 pages 1 figure

Scientific paper

In this paper we study the properties of the Barab\'asi model of queueing under the hypothesis that the number of tasks is steadily growing in time. We map this model exactly onto an Invasion Percolation dynamics on a Cayley tree. This allows to recover the correct waiting time distribution $P_W(\tau)\sim \tau^{-3/2}$ at the stationary state (as observed in different realistic data) and also to characterize it as a sequence of causally and geometrically connected bursts of activity. We also find that the approach to stationarity is very slow.

Affiliated with

Also associated with

No associations

Rating

Barabasi Queueing Model and Invasion Percolation on a tree 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 Barabasi Queueing Model and Invasion Percolation on a tree, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Barabasi Queueing Model and Invasion Percolation on a tree will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687876