Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints

We analyze asynchronous carrier sense multiple access (CSMA) policies for scheduling packet transmissions in multihop wireless networks subject to collisions under primary interference constraints. While the (asymptotic) achievable rate region of CSMA policies for single-hop networks has been well-k...

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Main Authors: Marbach, Peter, Eryilmaz, Atilla, Ozdaglar, Asuman E.
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2012
Online Access:http://hdl.handle.net/1721.1/72681
https://orcid.org/0000-0002-1827-1285
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author Marbach, Peter
Eryilmaz, Atilla
Ozdaglar, Asuman E.
author2 Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
author_facet Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Marbach, Peter
Eryilmaz, Atilla
Ozdaglar, Asuman E.
author_sort Marbach, Peter
collection MIT
description We analyze asynchronous carrier sense multiple access (CSMA) policies for scheduling packet transmissions in multihop wireless networks subject to collisions under primary interference constraints. While the (asymptotic) achievable rate region of CSMA policies for single-hop networks has been well-known, their analysis for general multihop networks has been an open problem due to the complexity of complex interactions among coupled interference constraints. Our work resolves this problem for networks with primary interference constraints by introducing a novel fixed-point formulation that approximates the link service rates of CSMA policies. This formulation allows us to derive an explicit characterization of the achievable rate region of CSMA policies for a limiting regime of large networks with a small sensing period. Our analysis also reveals the rate at which CSMA achievable rate region approaches the asymptotic capacity region of such networks. Moreover, our approach enables the computation of approximate CSMA link transmission attempt probabilities to support any given arrival vector within the achievable rate region. As part of our analysis, we show that both of these approximations become (asymptotically) accurate for large networks with a small sensing period. Our numerical case studies further suggest that these approximations are accurate even for moderately sized networks.
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spelling mit-1721.1/726812022-09-27T23:06:06Z Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints Marbach, Peter Eryilmaz, Atilla Ozdaglar, Asuman E. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Ozdaglar, Asuman E. Ozdaglar, Asuman E. We analyze asynchronous carrier sense multiple access (CSMA) policies for scheduling packet transmissions in multihop wireless networks subject to collisions under primary interference constraints. While the (asymptotic) achievable rate region of CSMA policies for single-hop networks has been well-known, their analysis for general multihop networks has been an open problem due to the complexity of complex interactions among coupled interference constraints. Our work resolves this problem for networks with primary interference constraints by introducing a novel fixed-point formulation that approximates the link service rates of CSMA policies. This formulation allows us to derive an explicit characterization of the achievable rate region of CSMA policies for a limiting regime of large networks with a small sensing period. Our analysis also reveals the rate at which CSMA achievable rate region approaches the asymptotic capacity region of such networks. Moreover, our approach enables the computation of approximate CSMA link transmission attempt probabilities to support any given arrival vector within the achievable rate region. As part of our analysis, we show that both of these approximations become (asymptotically) accurate for large networks with a small sensing period. Our numerical case studies further suggest that these approximations are accurate even for moderately sized networks. United States. Defense Threat Reduction Agency (Grant number HDTRA 1-08-1-0016) National Science Foundation (U.S.). (CAREER-CNS-0953515) National Science Foundation (U.S.). (CCF-0916664) 2012-09-13T14:21:26Z 2012-09-13T14:21:26Z 2011-05 2010-06 Article http://purl.org/eprint/type/JournalArticle 0018-9448 http://hdl.handle.net/1721.1/72681 Marbach, Peter, Atilla Eryilmaz, and Asu Ozdaglar. “Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints.” IEEE Transactions on Information Theory 57.6 (2011): 3644–3676. https://orcid.org/0000-0002-1827-1285 en_US http://dx.doi.org/10.1109/tit.2011.2133130 IEEE Transactions on Information Theory Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) Other University Web Domain
spellingShingle Marbach, Peter
Eryilmaz, Atilla
Ozdaglar, Asuman E.
Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints
title Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints
title_full Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints
title_fullStr Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints
title_full_unstemmed Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints
title_short Asynchronous CSMA Policies in Multihop Wireless Networks With Primary Interference Constraints
title_sort asynchronous csma policies in multihop wireless networks with primary interference constraints
url http://hdl.handle.net/1721.1/72681
https://orcid.org/0000-0002-1827-1285
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