A Foreground-Background queueing model with speed or capacity modulation
Performance
2021-12-03 v1 Probability
Abstract
The models studied in the steady state involve two queues which are served either by a single server whose speed depends on the number of jobs present, or by several parallel servers whose number may be controlled dynamically. Job service times have a two-phase Coxian distribution and the second phase is given lower priority than the first. The trade-offs between holding costs and energy consumption costs are examined by means of a suitable cost functions. Two different two-dimensional Markov process are solved exactly. The solutions are used in several numerical experiments. Some counter-intuitive results are observed.
Keywords
Cite
@article{arxiv.2112.01058,
title = {A Foreground-Background queueing model with speed or capacity modulation},
author = {Andrea Marin and Isi Mitrani},
journal= {arXiv preprint arXiv:2112.01058},
year = {2021}
}