Limiting Distribution of the Collision Resolution Interval

Published in: Statistica Neerlandica: Journal of the Netherlands Society for Statistics and Operations Research, v. 51, no. 1, 1997, p. 1-22

Posted on RAND.org on January 01, 1997

by Phillip M. Feldman, S. T Rachev, Ludger Ruschendorf

Read More

Access further information on this document at www.blackwell-synergy.com

This article was published outside of RAND. The full text of the article can be found at the link above.

The authors use the theory of probability metrics to study the asymptotic normality of the collision resolution intervals in the CTM multi-access protocol under general conditions on the number of retransmitted messages and of new arrivals during the collision slots. The main result establishes stability of the central limit theorem for the CTM algorithm. The authors provide extensive simulation results investigating the extent to which the mean of the collision resolution interval eventually becomes unstable for increasing values of n, the number of users who initially collide. The normal fit is numerically investigated and is shown to be quite satisfactory and stable with respect to moderate perturbations and n greater than or equal to 50.

This report is part of the RAND Corporation external publication series. Many RAND studies are published in peer-reviewed scholarly journals, as chapters in commercial books, or as documents published by other organizations.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.