Decomposing broadcast algorithms using abstract mac layers

In much of the theoretical literature on wireless algorithms, issues of message dissemination are considered together with issues of contention management. This combination leads to complicated algorithms and analysis, and makes it difficult to extend the work to harder communication problems. In t...

Full description

Bibliographic Details
Main Authors: Khabbazian, Majid, Kowalski, Dariusz R., Kuhn, Fabian, Lynch, Nancy Ann
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Association for Computing Machinery 2012
Online Access:http://hdl.handle.net/1721.1/72062
https://orcid.org/0000-0003-3045-265X
_version_ 1826197211916009472
author Khabbazian, Majid
Kowalski, Dariusz R.
Kuhn, Fabian
Lynch, Nancy Ann
author2 Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
author_facet Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Khabbazian, Majid
Kowalski, Dariusz R.
Kuhn, Fabian
Lynch, Nancy Ann
author_sort Khabbazian, Majid
collection MIT
description In much of the theoretical literature on wireless algorithms, issues of message dissemination are considered together with issues of contention management. This combination leads to complicated algorithms and analysis, and makes it difficult to extend the work to harder communication problems. In this paper, we present results of a current project aimed at simplifying such algorithms and analysis by decomposing the treatment into two levels, using abstract "MAC layer" specifi cations to encapsulate the contention management. We use two di erent abstract MAC layers: the basic one of [14, 15] and a new probabilistic layer. We show that it implements both abstract MAC layers. We combine this algorithm with greedy algorithms for single- message and multi-message global broadcast and analyze the combination, using both abstract MAC layers as intermediate layers. Using the basic MAC layer, we prove a bound of ... for the time to deliver a single message everywhere with probability 1 -epsilon , where D is the network diameter, n is the number of nodes, and Delta is the maximum node degree. Using the probabilistic layer, we prove a bound of ..., which matches the best previously-known bound for single-message broadcast over the physical network model. For multi-message broadcast, we obtain bounds of ... using the basic layer and ... using the probabilistic layer, for the time to deliver a message everywhere in the presence of at most k concurrent messages.
first_indexed 2024-09-23T10:44:32Z
format Article
id mit-1721.1/72062
institution Massachusetts Institute of Technology
language en_US
last_indexed 2024-09-23T10:44:32Z
publishDate 2012
publisher Association for Computing Machinery
record_format dspace
spelling mit-1721.1/720622022-09-30T22:39:21Z Decomposing broadcast algorithms using abstract mac layers Khabbazian, Majid Kowalski, Dariusz R. Kuhn, Fabian Lynch, Nancy Ann Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Lynch, Nancy Ann Lynch, Nancy Ann In much of the theoretical literature on wireless algorithms, issues of message dissemination are considered together with issues of contention management. This combination leads to complicated algorithms and analysis, and makes it difficult to extend the work to harder communication problems. In this paper, we present results of a current project aimed at simplifying such algorithms and analysis by decomposing the treatment into two levels, using abstract "MAC layer" specifi cations to encapsulate the contention management. We use two di erent abstract MAC layers: the basic one of [14, 15] and a new probabilistic layer. We show that it implements both abstract MAC layers. We combine this algorithm with greedy algorithms for single- message and multi-message global broadcast and analyze the combination, using both abstract MAC layers as intermediate layers. Using the basic MAC layer, we prove a bound of ... for the time to deliver a single message everywhere with probability 1 -epsilon , where D is the network diameter, n is the number of nodes, and Delta is the maximum node degree. Using the probabilistic layer, we prove a bound of ..., which matches the best previously-known bound for single-message broadcast over the physical network model. For multi-message broadcast, we obtain bounds of ... using the basic layer and ... using the probabilistic layer, for the time to deliver a message everywhere in the presence of at most k concurrent messages. United States. Air Force Office of Scientific Research (AFOSR contract FA9550-08-1-0159) National Science Foundation (U.S.) (NSF grants CCF-072651) National Science Foundation (U.S.) (NSF grant CNS-0715397) National Science Foundation (U.S.) (NSF grant CCF- 0937274) Natural Sciences and Engineering Research Council of Canada (NSERC) (Post-doctoral fellowship) 2012-08-09T14:20:19Z 2012-08-09T14:20:19Z 2010-09 Article http://purl.org/eprint/type/ConferencePaper 1450304133 978-1-4503-0413-9 http://hdl.handle.net/1721.1/72062 Khabbazian, Majid et al. “Decomposing Broadcast Algorithms Using Abstract MAC Layers.” in Proceedings of the Sixth ACM SIGACT/SIGMOBILE International Workshop on Foundations of Mobile Computing, DIALM-POMC 2010, September 16th, Cambridge, Massachusetts, ACM Press, 2010. 13. Web. https://orcid.org/0000-0003-3045-265X en_US http://dx.doi.org/10.1145/1860684.1860690 Proceedings of the Sixth ACM SIGACT/SIGMOBILE International Workshop on Foundations of Mobile Computing, DIALM-POMC 2010 Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Association for Computing Machinery Lynch via Amy Stout
spellingShingle Khabbazian, Majid
Kowalski, Dariusz R.
Kuhn, Fabian
Lynch, Nancy Ann
Decomposing broadcast algorithms using abstract mac layers
title Decomposing broadcast algorithms using abstract mac layers
title_full Decomposing broadcast algorithms using abstract mac layers
title_fullStr Decomposing broadcast algorithms using abstract mac layers
title_full_unstemmed Decomposing broadcast algorithms using abstract mac layers
title_short Decomposing broadcast algorithms using abstract mac layers
title_sort decomposing broadcast algorithms using abstract mac layers
url http://hdl.handle.net/1721.1/72062
https://orcid.org/0000-0003-3045-265X
work_keys_str_mv AT khabbazianmajid decomposingbroadcastalgorithmsusingabstractmaclayers
AT kowalskidariuszr decomposingbroadcastalgorithmsusingabstractmaclayers
AT kuhnfabian decomposingbroadcastalgorithmsusingabstractmaclayers
AT lynchnancyann decomposingbroadcastalgorithmsusingabstractmaclayers