{"id":"https://openalex.org/W2009612231","doi":"https://doi.org/10.1155/2014/769658","title":"A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks","display_name":"A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks","publication_year":2014,"publication_date":"2014-02-01","ids":{"openalex":"https://openalex.org/W2009612231","doi":"https://doi.org/10.1155/2014/769658","mag":"2009612231"},"language":"en","primary_location":{"id":"doi:10.1155/2014/769658","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/769658","pdf_url":null,"source":{"id":"https://openalex.org/S64417657","display_name":"International Journal of Distributed Sensor Networks","issn_l":"1550-1329","issn":["1550-1329","1550-1477"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Distributed Sensor Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1155/2014/769658","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088126098","display_name":"Maher Rebai","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I140494188","display_name":"Universit\u00e9 de Technologie de Troyes","ror":"https://ror.org/01qhqcj41","country_code":"FR","type":"education","lineage":["https://openalex.org/I140494188"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Maher Rebai","raw_affiliation_strings":["Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France","institution_ids":["https://openalex.org/I140494188","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020818629","display_name":"Matthieu Le Berre","orcid":"https://orcid.org/0000-0002-4918-5574"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I140494188","display_name":"Universit\u00e9 de Technologie de Troyes","ror":"https://ror.org/01qhqcj41","country_code":"FR","type":"education","lineage":["https://openalex.org/I140494188"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Matthieu Le Berre","raw_affiliation_strings":["Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France"],"raw_orcid":"https://orcid.org/0000-0002-4918-5574","affiliations":[{"raw_affiliation_string":"Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France","institution_ids":["https://openalex.org/I140494188","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021783537","display_name":"Faicel Hnaien","orcid":"https://orcid.org/0000-0002-3037-9280"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I140494188","display_name":"Universit\u00e9 de Technologie de Troyes","ror":"https://ror.org/01qhqcj41","country_code":"FR","type":"education","lineage":["https://openalex.org/I140494188"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Faicel Hnaien","raw_affiliation_strings":["Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France","institution_ids":["https://openalex.org/I140494188","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066400774","display_name":"Hichem Snoussi","orcid":"https://orcid.org/0000-0002-6563-2135"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I140494188","display_name":"Universit\u00e9 de Technologie de Troyes","ror":"https://ror.org/01qhqcj41","country_code":"FR","type":"education","lineage":["https://openalex.org/I140494188"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hichem Snoussi","raw_affiliation_strings":["Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France","institution_ids":["https://openalex.org/I140494188","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042499396","display_name":"Lyes Khoukhi","orcid":"https://orcid.org/0000-0002-1922-769X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I140494188","display_name":"Universit\u00e9 de Technologie de Troyes","ror":"https://ror.org/01qhqcj41","country_code":"FR","type":"education","lineage":["https://openalex.org/I140494188"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lyes Khoukhi","raw_affiliation_strings":["Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Charles Delaunay, UMR CNRS 6279, University of Technology of Troyes, BP 2060, 10010 Troyes, France","institution_ids":["https://openalex.org/I140494188","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5088126098"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I140494188"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":{"value":2200,"currency":"USD","value_usd":2200},"fwci":2.1587,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88552254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"2","first_page":"769658","last_page":"769658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8642973899841309},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.6834149360656738},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6437948346138},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6029255986213684},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.5936336517333984},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5421375632286072},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.5350450277328491},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4703367352485657},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.44952526688575745},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4213939309120178},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.41751521825790405},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3479732275009155},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33197319507598877},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.22574865818023682},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12067773938179016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.08717215061187744}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8642973899841309},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.6834149360656738},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6437948346138},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6029255986213684},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.5936336517333984},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5421375632286072},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.5350450277328491},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4703367352485657},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.44952526688575745},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4213939309120178},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.41751521825790405},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3479732275009155},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33197319507598877},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.22574865818023682},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12067773938179016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.08717215061187744},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/769658","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/769658","pdf_url":null,"source":{"id":"https://openalex.org/S64417657","display_name":"International Journal of Distributed Sensor Networks","issn_l":"1550-1329","issn":["1550-1329","1550-1477"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Distributed Sensor Networks","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02271684v1","is_oa":false,"landing_page_url":"https://utt.hal.science/hal-02271684","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Distributed Sensor Networks, 2014, 10 (2), pp.769658. ⟨10.1155/2014/769658⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:sae:intdis:v:10:y:2014:i:2:p:769658","is_oa":false,"landing_page_url":"https://journals.sagepub.com/doi/10.1155/2014/769658","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:828f8b379e1c4a26a2bc117bcf889ed0","is_oa":true,"landing_page_url":"https://doaj.org/article/828f8b379e1c4a26a2bc117bcf889ed0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Distributed Sensor Networks, Vol 10 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/769658","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/769658","pdf_url":null,"source":{"id":"https://openalex.org/S64417657","display_name":"International Journal of Distributed Sensor Networks","issn_l":"1550-1329","issn":["1550-1329","1550-1477"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Distributed Sensor Networks","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4399999976158142,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1984384160","https://openalex.org/W1989231680","https://openalex.org/W1996188591","https://openalex.org/W2002737202","https://openalex.org/W2007647264","https://openalex.org/W2034625895","https://openalex.org/W2055936462","https://openalex.org/W2073979950","https://openalex.org/W2074607599","https://openalex.org/W2108299551","https://openalex.org/W2108958762","https://openalex.org/W2117768029","https://openalex.org/W2124375752","https://openalex.org/W2124941493","https://openalex.org/W2127981831","https://openalex.org/W2141685007","https://openalex.org/W2141821897","https://openalex.org/W2150312692","https://openalex.org/W2150794496","https://openalex.org/W2151598821","https://openalex.org/W2154426677","https://openalex.org/W2158909754","https://openalex.org/W2162705197","https://openalex.org/W2188595950","https://openalex.org/W4232737687"],"related_works":["https://openalex.org/W2084616826","https://openalex.org/W2008600006","https://openalex.org/W1968202374","https://openalex.org/W2009796757","https://openalex.org/W3153884794","https://openalex.org/W4285278887","https://openalex.org/W2482371100","https://openalex.org/W2365237642","https://openalex.org/W2275468419","https://openalex.org/W2941986668"],"abstract_inverted_index":{"We":[0,50,63],"aim":[1],"to":[2,37,58],"cover":[3],"a":[4,21,38,52],"grid":[5],"fully":[6],"by":[7,65,88],"deploying":[8],"the":[9,17,25,60,69,82,94],"necessary":[10],"wireless":[11],"sensors":[12,19],"while":[13],"maintaining":[14],"connectivity":[15],"between":[16],"deployed":[18],"and":[20,54],"base":[22],"station":[23],"(":[24],"sink).":[26],"The":[27],"problem":[28,61],"is":[29,45,73],"NP-":[30,47],"Complete":[31,48],"as":[32],"it":[33],"can":[34],"be":[35],"reduced":[36],"2-":[39],"dimensional":[40],"critical":[41],"coverage":[42],"problem,":[43],"which":[44],"an":[46],"problem.":[49,96],"develop":[51],"branch":[53],"bound":[55],"(B&B)":[56],"algorithm":[57,72],"solve":[59],"optimally.":[62],"verify":[64],"computational":[66],"experiments":[67],"that":[68],"proposed":[70],"B&B":[71],"more":[74],"efficient,":[75],"in":[76],"terms":[77],"of":[78],"computation":[79],"time,":[80],"than":[81],"integer":[83],"linear":[84],"programming":[85],"model":[86],"developed":[87],"Rebai":[89],"et":[90],"al.":[91],"(2013),":[92],"for":[93],"same":[95]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}