A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks

We aim to cover a grid fully by deploying the necessary wireless sensors while maintaining connectivity between the deployed sensors and a base station ( the sink ). The problem is NP - Complete as it can be reduced to a 2 - dimensional critical coverage problem, which is an NP - Complete problem. W...

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Main Authors: Maher Rebai, Matthieu Le Berre, Faicel Hnaien, Hichem Snoussi, Lyes Khoukhi
Format: Article
Language:English
Published: Wiley 2014-02-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1155/2014/769658
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author Maher Rebai
Matthieu Le Berre
Faicel Hnaien
Hichem Snoussi
Lyes Khoukhi
author_facet Maher Rebai
Matthieu Le Berre
Faicel Hnaien
Hichem Snoussi
Lyes Khoukhi
author_sort Maher Rebai
collection DOAJ
description We aim to cover a grid fully by deploying the necessary wireless sensors while maintaining connectivity between the deployed sensors and a base station ( the sink ). The problem is NP - Complete as it can be reduced to a 2 - dimensional critical coverage problem, which is an NP - Complete problem. We develop a branch and bound (B&B) algorithm to solve the problem optimally. We verify by computational experiments that the proposed B&B algorithm is more efficient, in terms of computation time, than the integer linear programming model developed by Rebai et al. (2013), for the same problem.
format Article
id doaj-art-828f8b379e1c4a26a2bc117bcf889ed0
institution Kabale University
issn 1550-1477
language English
publishDate 2014-02-01
publisher Wiley
record_format Article
series International Journal of Distributed Sensor Networks
spelling doaj-art-828f8b379e1c4a26a2bc117bcf889ed02025-02-03T06:47:19ZengWileyInternational Journal of Distributed Sensor Networks1550-14772014-02-011010.1155/2014/769658769658A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor NetworksMaher RebaiMatthieu Le BerreFaicel HnaienHichem SnoussiLyes KhoukhiWe aim to cover a grid fully by deploying the necessary wireless sensors while maintaining connectivity between the deployed sensors and a base station ( the sink ). The problem is NP - Complete as it can be reduced to a 2 - dimensional critical coverage problem, which is an NP - Complete problem. We develop a branch and bound (B&B) algorithm to solve the problem optimally. We verify by computational experiments that the proposed B&B algorithm is more efficient, in terms of computation time, than the integer linear programming model developed by Rebai et al. (2013), for the same problem.https://doi.org/10.1155/2014/769658
spellingShingle Maher Rebai
Matthieu Le Berre
Faicel Hnaien
Hichem Snoussi
Lyes Khoukhi
A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks
International Journal of Distributed Sensor Networks
title A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks
title_full A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks
title_fullStr A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks
title_full_unstemmed A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks
title_short A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks
title_sort branch and bound algorithm for the critical grid coverage problem in wireless sensor networks
url https://doi.org/10.1155/2014/769658
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