On the Convergence of Multiclass Queueing Networks in Heavy Traffic (Classic Reprint)

Download or read book On the Convergence of Multiclass Queueing Networks in Heavy Traffic (Classic Reprint) written by J. G. Dai and published by Forgotten Books. This book was released on 2016-10-20 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the Convergence of Multiclass Queueing Networks in Heavy Traffic The past few years have witnessed a surge in research activities dealing with Brownian ap proximations of queueing networks [3, 5, 7, 10, 15, This line of research suggests that certain processes associated with a queueing network can be approximated by reflected Brow nian motions and these approximations are justified by so called heavy traffic limit theorems. Although such limit theorems have been proved only for special cases which require various assumptions on the network structure, some authors have proposed that the Brownian approximations in fact may be used for a more general class of networks that operate under the first-in-first-out service discipline [15. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.