paper

Stein's Method for the Single Server Queue in Heavy Traffic

arXiv:1805.08003

Abstract

Following recent developments in the application of Stein's method in queueing theory, this paper is intended to be a short treatment showing how Stein's method can be developed and applied to the single server queue in heavy traffic. Here we provide two approaches to this approximation: one based on equilibrium couplings and another involving comparison of generators.

11 pages. To appear in Statistics and Probability Letters, 2019+

Stein's Method for the Single Server Queue in Heavy Traffic · wovepaper