paper

Infinite-server M|G| queueing models with catastrophes

arXiv:1807.08609

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.

16 pages

Infinite-server M|G|$\infty$ queueing models with catastrophes · wovepaper