A Lévy input fluid queue with input and workload regulation

Details A Lévy input fluid queue with input and workload regulation A Lévy input fluid queue with input and workload regulation

2011-10-17

arxiv.org/abs/1110.3806v1

Mathematics

Probability

Scientific paper

We consider a queuing model with the workload evolving between consecutive i.i.d.\ exponential timers $\{e_q^{(i)}\}_{i=1,2,...}$ according to a spectrally positive L\'evy process $Y_i(t)$ that is reflected at zero, and where the environment $i$ equals 0 or 1. When the exponential clock $e_q^{(i)}$ ends, the workload, as well as the L\'evy input process, are modified; this modification may depend on the current value of the workload, the maximum and the minimum workload observed during the previous cycle, and the environment $i$ of the L\'evy input process itself during the previous cycle. We analyse the steady-state workload distribution for this model. The main theme of the analysis is the systematic application of non-trivial functionals, derived within the framework of fluctuation theory of L\'evy processes, to workload and queuing models.

Affiliated with

Also associated with

No associations

Rating

A Lévy input fluid queue with input and workload regulation 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 A Lévy input fluid queue with input and workload regulation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Lévy input fluid queue with input and workload regulation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289266