Occupation times for the finite buffer fluid queue with phase-type ON-times
Probability
2017-10-23 v3
Abstract
In this short communication we study a fluid queue with a finite buffer. The performance measure we are interested in is the occupation time over a finite time period, i.e., the fraction of time the workload process is below some fixed target level. We construct an alternating sequence of sojourn times where the pairs are i.i.d. random vectors. We use this sequence to determine the distribution function of the occupation time in terms of its double transform.
Keywords
Cite
@article{arxiv.1703.05500,
title = {Occupation times for the finite buffer fluid queue with phase-type ON-times},
author = {N. J. Starreveld and R. Bekker and M. Mandjes},
journal= {arXiv preprint arXiv:1703.05500},
year = {2017}
}