Infinite-server M|G|$\infty$ queueing models with catastrophes
Optimization and Control
2018-07-24 v1 Probability
Abstract
The infinite-server queueing models with homogeneous and non-homogeneous arrivals of customers and catastrophes are considered. The probability generating functions of joint distributions of numbers of busy servers and served customers, as well as the Laplace-Stieltjes Transforms of distribution of busy period and distribution of busy cycle for the models are found.
Cite
@article{arxiv.1807.08609,
title = {Infinite-server M|G|$\infty$ queueing models with catastrophes},
author = {Khanik Kerobyan},
journal= {arXiv preprint arXiv:1807.08609},
year = {2018}
}
Comments
16 pages