research-article

Optimal Radius for Connectivity in Duty-Cycled Wireless Sensor Networks

Authors:

Amitabha Bagchi,

Sainyam Galhotra,

Cristina M. PinottiAuthors Info & Claims

ACM Transactions on Sensor Networks (TOSN), Volume 11, Issue 2

Article No.: 36, Pages 1 - 37

https://doi.org/10.1145/2663353

Published: 12 December 2014 Publication History

Abstract

We investigate the condition on transmission radius needed to achieve connectivity in duty-cycled wireless sensor networks (briefly, DC-WSNs). First, we settle a conjecture of Das et al. [2012] and prove that the connectivity condition on random geometric graphs (RGGs), given by Gupta and Kumar [1989], can be used to derive a weakly sufficient condition to achieve connectivity in DC-WSNs. To find a stronger result, we define a new vertex-based random connection model that is of independent interest. Following a proof technique of Penrose [1991], we prove that when the density of the nodes approaches infinity, then a finite component of size greater than 1 exists with probability 0 in this model. We use this result to obtain an optimal condition on node transmission radius that is both necessary and sufficient to achieve connectivity and is hence optimal. The optimality of such a radius is also tested via simulation for two specific duty-cycle schemes, called the contiguous and the random selection duty-cycle schemes. Finally, we design a minimum-radius duty-cycling scheme that achieves connectivity with a transmission radius arbitrarily close to the one required in random geometric graphs. The overhead in this case is that we have to spend some time computing the schedule.

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Cited By

Simon MIveta DHuraj LPospichal J(2019)Multi-Hub Location Heuristic for Alert RoutingIEEE Access10.1109/ACCESS.2019.29071617(40369-40379)Online publication date: 2019
https://doi.org/10.1109/ACCESS.2019.2907161
Bagchi ACoro FPinotti CRavelomanana V(2018)Border effects on connectivity for randomly oriented directional antenna networks2018 17th Annual Mediterranean Ad Hoc Networking Workshop (Med-Hoc-Net)10.23919/MedHocNet.2018.8407090(1-8)Online publication date: Jun-2018
https://doi.org/10.23919/MedHocNet.2018.8407090
Jiang BNain PTowsley DGuha S(2018)On a Class of Stochastic Multilayer NetworksProceedings of the ACM on Measurement and Analysis of Computing Systems10.1145/31794212:1(1-25)Online publication date: 3-Apr-2018
https://dl.acm.org/doi/10.1145/3179421
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Index Terms

Optimal Radius for Connectivity in Duty-Cycled Wireless Sensor Networks
1. Networks
  1. Network architectures

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Published In

cover image ACM Transactions on Sensor Networks

ACM Transactions on Sensor Networks Volume 11, Issue 2

February 2015

563 pages

ISSN:1550-4859

EISSN:1550-4867

DOI:10.1145/2656931

Editor:
Chenyang Lu
Department of Computer Science and Engineering/School of Engineering and Applied Sciences/Washington University/1 Brookings Drive/St. Louis, MO

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Copyright © 2014 ACM.

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ACM Journals for the Design of Smart and Connected Systems

Publication History

Published: 12 December 2014

Accepted: 01 August 2014

Revised: 01 August 2014

Received: 01 September 2013

Published in TOSN Volume 11, Issue 2

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Sapienza Università di Roma
“PRIN 2010” ARS TechnoMedia (Algoritmica per le Reti Sociali Tecno-mediate) from the Italian Ministry of University and Research

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Cited By

Simon MIveta DHuraj LPospichal J(2019)Multi-Hub Location Heuristic for Alert RoutingIEEE Access10.1109/ACCESS.2019.29071617(40369-40379)Online publication date: 2019
https://doi.org/10.1109/ACCESS.2019.2907161
Bagchi ACoro FPinotti CRavelomanana V(2018)Border effects on connectivity for randomly oriented directional antenna networks2018 17th Annual Mediterranean Ad Hoc Networking Workshop (Med-Hoc-Net)10.23919/MedHocNet.2018.8407090(1-8)Online publication date: Jun-2018
https://doi.org/10.23919/MedHocNet.2018.8407090
Jiang BNain PTowsley DGuha S(2018)On a Class of Stochastic Multilayer NetworksProceedings of the ACM on Measurement and Analysis of Computing Systems10.1145/31794212:1(1-25)Online publication date: 3-Apr-2018
https://dl.acm.org/doi/10.1145/3179421
Aliouat LAliouat Z(2016)Improved WSN Life Time Duration through Adaptive Clustering, Duty Cycling and Sink MobilityProceedings of the 2016 8th International Conference on Information Management and Engineering10.1145/3012258.3012269(36-40)Online publication date: 2-Nov-2016
https://dl.acm.org/doi/10.1145/3012258.3012269
Wang CHan J(2016)The impact of interaction radius on soft control performance based on the Vicsek Model2016 35th Chinese Control Conference (CCC)10.1109/ChiCC.2016.7553245(1175-1180)Online publication date: Jul-2016
https://doi.org/10.1109/ChiCC.2016.7553245
Zhou ZZhao DShu LTsang K(2015)A Novel Two-Tier Cooperative Caching Mechanism for the Optimization of Multi-Attribute Periodic Queries in Wireless Sensor NetworksSensors10.3390/s15071503315:7(15033-15066)Online publication date: 26-Jun-2015
https://doi.org/10.3390/s150715033
Bagchi ABetti Sorbelli FPinotti CRibeiro V(2015)Connectivity of a Dense Mesh of Randomly Oriented Directional Antennas Under a Realistic Fading ModelRevised Selected Papers of the 11th International Symposium on Algorithms for Sensor Systems - Volume 953610.1007/978-3-319-28472-9_2(13-26)Online publication date: 17-Sep-2015
https://dl.acm.org/doi/10.1007/978-3-319-28472-9_2

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