Cart (Loading....) | Create Account
Close category search window

Phase synchronization on asynchronous uniform rings with odd size

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Tzong-Jye Liu ; Comput. & Commun. Res. Lab., Ind. Technol. Res. Inst., Hsinchu, Taiwan ; Shing-Tsaan Huang

This paper proposes a self-stabilizing phase synchronization protocol for uniform rings with an odd size. Nodes in the ring work asynchronously and proceed in a cyclic sequence of K phases, where K is even. The phase values of all the nodes are required to be no more than one apart. A system state which satisfies the requirement is therefore called a legitimate state. The proposed protocol guarantees that no matter with which initial state the system may start, the ring stabilizes eventually at a state after which the closure property on the legitimate state holds. Phase values should never go backward. The closure property on the legitimate states commonly used in previous works on self-stabilization cannot capture this requirement. This paper defines two terms, legitimate step and illegitimate step, to address this issue. An execution step that brings the ring from a legitimate state to another legitimate state in a way that the phase values of the nodes only advance is called a legitimate step. An execution step that observes the closure property on the legitimate states but makes some phase values go backward is modeled as an illegitimate step. It is shown that, for the proposed protocol, only a finite number of illegitimate steps are possible. After all possible illegitimate steps have occurred, the closure property on the legitimate steps holds

Published in:

Parallel and Distributed Systems, IEEE Transactions on  (Volume:12 ,  Issue: 6 )

Date of Publication:

Jun 2001

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.