Explicit Results for the Distributions of Queue Lengths for a Non-Preemptive Two-Level Priority Queue
Probability
2023-09-19 v1
Abstract
Explicit results are derived using simple and exact methods for the joint and marginal queue-length distributions for the M/M/c queue with two non-preemptive priority levels. Equal service rates are assumed. Two approaches are considered. One is based on numerically robust quadratic recurrence relations. The other is based on a complex contour-integral representation that yields exact closed-form analytical expressions, not hitherto available in the literature, that can also be evaluated numerically with very high accuracy.
Cite
@article{arxiv.2309.09428,
title = {Explicit Results for the Distributions of Queue Lengths for a Non-Preemptive Two-Level Priority Queue},
author = {Josef Zuk and David Kirszenblat},
journal= {arXiv preprint arXiv:2309.09428},
year = {2023}
}