Hostname: page-component-89b8bd64d-b5k59 Total loading time: 0 Render date: 2026-05-07T10:12:06.688Z Has data issue: false hasContentIssue false

A Simple Proof of Instability of a Random-Access Communication Channel

Published online by Cambridge University Press:  27 July 2009

Sheldon M. Ross
Affiliation:
Department of Industrial Engineering and Operations Research University of California, Berkeley, California 94720

Abstract

We give an extremely simple argument to prove that in infinite user-commurlication channels, under the Aloha protocol, the number of successful transmissions is finite with probability 1. The same result is then shown to hold for those back-off protocols whose transmission probabilities are bounded away from 0.

Information

Type
Articles
Copyright
Copyright © Cambridge University Press 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable