{"id":"https://openalex.org/W2054393672","doi":"https://doi.org/10.1109/iswcs.2010.5624530","title":"SIR Balancing for strongly connected interference networks \u2014 Existence and uniqueness of a solution","display_name":"SIR Balancing for strongly connected interference networks \u2014 Existence and uniqueness of a solution","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2054393672","doi":"https://doi.org/10.1109/iswcs.2010.5624530","mag":"2054393672"},"language":"en","primary_location":{"id":"doi:10.1109/iswcs.2010.5624530","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iswcs.2010.5624530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 7th International Symposium on Wireless Communication Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://mediatum.ub.tum.de/node?id=1070713","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038859625","display_name":"Martin Schubert","orcid":"https://orcid.org/0000-0003-4495-6533"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Martin Schubert","raw_affiliation_strings":["Fraunhofer German-Sino Lab for Mobile Communications (MCI), Einsteinufer 37, 10587 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer German-Sino Lab for Mobile Communications (MCI), Einsteinufer 37, 10587 Berlin, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054385720","display_name":"Nikola Vu\u010di\u0107","orcid":"https://orcid.org/0000-0003-4781-8566"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nikola Vucic","raw_affiliation_strings":["Fraunhofer German-Sino Lab for Mobile Communications (MCI), Einsteinufer 37, 10587 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer German-Sino Lab for Mobile Communications (MCI), Einsteinufer 37, 10587 Berlin, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000732219","display_name":"Holger Boche","orcid":"https://orcid.org/0000-0002-8375-8946"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Holger Boche","raw_affiliation_strings":["Fraunhofer German-Sino Lab for Mobile Communications (MCI), Einsteinufer 37, 10587 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer German-Sino Lab for Mobile Communications (MCI), Einsteinufer 37, 10587 Berlin, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038859625"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7123,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72510548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"184","last_page":"188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9998000264167786,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9998000264167786,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9969000220298767,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.996399998664856,"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/uniqueness","display_name":"Uniqueness","score":0.9386265277862549},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7787058353424072},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.549139142036438},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.5394360423088074},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49161940813064575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48052558302879333},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44725704193115234},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4413449764251709},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4274975657463074},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.41212227940559387},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3866177797317505},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36519622802734375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28460240364074707},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14674994349479675},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10406595468521118},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09077391028404236},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07596969604492188}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.9386265277862549},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7787058353424072},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.549139142036438},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.5394360423088074},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49161940813064575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48052558302879333},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44725704193115234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4413449764251709},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4274975657463074},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.41212227940559387},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3866177797317505},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36519622802734375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28460240364074707},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14674994349479675},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10406595468521118},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09077391028404236},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07596969604492188},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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:10.1109/iswcs.2010.5624530","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iswcs.2010.5624530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 7th International Symposium on Wireless Communication Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:fraunhofer.de:N-163403","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-163403.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer HHI","raw_type":"Conference Paper"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1070713","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1070713","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/369058","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/369058","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"conference paper"}],"best_oa_location":{"id":"pmh:oai:mediatum.ub.tum.de:node/1070713","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1070713","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1925950976","https://openalex.org/W2118763804","https://openalex.org/W2122327469","https://openalex.org/W2152701162","https://openalex.org/W2154779036","https://openalex.org/W2161473225","https://openalex.org/W2164271287","https://openalex.org/W4234261304"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W2963662567","https://openalex.org/W4321473471","https://openalex.org/W2393542757"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"revisit":[4],"the":[5,15,27,45,53,60,67],"problem":[6],"of":[7,31],"SIR":[8],"Balancing":[9],"which":[10],"was":[11],"extensively":[12],"studied":[13],"in":[14],"wireless":[16],"communication":[17],"literature.":[18],"We":[19,63],"generalize":[20],"existing":[21],"results":[22],"by":[23],"showing":[24],"conditions":[25],"for":[26],"existence":[28],"and":[29,52],"uniqueness":[30],"a":[32,39],"max-min":[33],"optimizer.":[34],"It":[35],"is":[36,50],"shown":[37],"that":[38],"unique":[40],"positive":[41],"optimizer":[42],"exists":[43],"if":[44],"underlying":[46],"asymptotic":[47],"coupling":[48],"matrix":[49],"irreducible":[51],"interference":[54],"functions":[55],"are":[56],"strictly":[57],"monotonic":[58],"on":[59],"dependency":[61],"set.":[62],"also":[64],"show":[65],"how":[66],"solution":[68],"can":[69],"be":[70],"extended":[71],"to":[72],"include":[73],"power":[74],"constraints.":[75]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}