Approximate Performance Measures for a Single Station Two-Stage Reneging Queue
Probability
2020-12-21 v3
Abstract
We study a single station two-stage reneging queue with Poisson arrivals, exponential services, and two levels of exponential reneging behaviors, extending the popular Erlang A model that assumes a constant reneging rate. We derive approximate analytical formulas representing performance measures for our two-stage queue following the Markov chain decomposition approach. Our formulas not only give accurate results spanning the heavy-traffic to the light-traffic regimes, but also provide insight into capacity decisions.
Keywords
Cite
@article{arxiv.2005.03239,
title = {Approximate Performance Measures for a Single Station Two-Stage Reneging Queue},
author = {Katsunobu Sasanuma and Alan Scheller-Wolf},
journal= {arXiv preprint arXiv:2005.03239},
year = {2020}
}