{"id":"https://openalex.org/W2189324033","doi":"https://doi.org/10.1109/pimrc.2015.7343464","title":"Fairness awared joint sub-channel and power allocation via genetic algorithm in MIMO two-tier networks","display_name":"Fairness awared joint sub-channel and power allocation via genetic algorithm in MIMO two-tier networks","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2189324033","doi":"https://doi.org/10.1109/pimrc.2015.7343464","mag":"2189324033"},"language":"en","primary_location":{"id":"doi:10.1109/pimrc.2015.7343464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2015.7343464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100334653","display_name":"Liang Chen","orcid":"https://orcid.org/0000-0003-1996-2210"},"institutions":[{"id":"https://openalex.org/I1302611135","display_name":"Ministry of Public Security of the People's Republic of China","ror":"https://ror.org/00bt9we26","country_code":"CN","type":"government","lineage":["https://openalex.org/I1302611135"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Chen","raw_affiliation_strings":["Harbin Institute of Technology Communication Research Center, Harbin, China","Key Laboratory of Police Wireless Digital Communication, Ministry of Public Security of China, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology Communication Research Center, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Key Laboratory of Police Wireless Digital Communication, Ministry of Public Security of China, Harbin, China","institution_ids":["https://openalex.org/I1302611135"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018662596","display_name":"Lin Ma","orcid":"https://orcid.org/0000-0003-1684-9714"},"institutions":[{"id":"https://openalex.org/I1302611135","display_name":"Ministry of Public Security of the People's Republic of China","ror":"https://ror.org/00bt9we26","country_code":"CN","type":"government","lineage":["https://openalex.org/I1302611135"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Ma","raw_affiliation_strings":["Harbin Institute of Technology Communication Research Center, Harbin, China","Key Laboratory of Police Wireless Digital Communication, Ministry of Public Security of China, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology Communication Research Center, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Key Laboratory of Police Wireless Digital Communication, Ministry of Public Security of China, Harbin, China","institution_ids":["https://openalex.org/I1302611135"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100359968","display_name":"Yubin Xu","orcid":"https://orcid.org/0000-0003-4915-5858"},"institutions":[{"id":"https://openalex.org/I1302611135","display_name":"Ministry of Public Security of the People's Republic of China","ror":"https://ror.org/00bt9we26","country_code":"CN","type":"government","lineage":["https://openalex.org/I1302611135"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yubin Xu","raw_affiliation_strings":["Harbin Institute of Technology Communication Research Center, Harbin, China","Key Laboratory of Police Wireless Digital Communication, Ministry of Public Security of China, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology Communication Research Center, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Key Laboratory of Police Wireless Digital Communication, Ministry of Public Security of China, Harbin, China","institution_ids":["https://openalex.org/I1302611135"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08763543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1111","last_page":"1115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9966999888420105,"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":0.9965999722480774,"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":0.7089559435844421},{"id":"https://openalex.org/keywords/femtocell","display_name":"Femtocell","score":0.6251866817474365},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6240214705467224},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.6004199385643005},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.5699940919876099},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.515929102897644},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.5054268836975098},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.46704190969467163},{"id":"https://openalex.org/keywords/femto","display_name":"Femto-","score":0.46015316247940063},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.45608967542648315},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4389049708843231},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.43126019835472107},{"id":"https://openalex.org/keywords/channel-allocation-schemes","display_name":"Channel allocation schemes","score":0.43057799339294434},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41637828946113586},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41095665097236633},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.38334909081459045},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3713323175907135},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.338053435087204},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.20195290446281433},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16919928789138794},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14838093519210815}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7089559435844421},{"id":"https://openalex.org/C152504517","wikidata":"https://www.wikidata.org/wiki/Q572455","display_name":"Femtocell","level":3,"score":0.6251866817474365},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6240214705467224},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.6004199385643005},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.5699940919876099},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.515929102897644},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.5054268836975098},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.46704190969467163},{"id":"https://openalex.org/C2777118422","wikidata":"https://www.wikidata.org/wiki/Q110791","display_name":"Femto-","level":2,"score":0.46015316247940063},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.45608967542648315},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4389049708843231},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.43126019835472107},{"id":"https://openalex.org/C114237682","wikidata":"https://www.wikidata.org/wiki/Q5072483","display_name":"Channel allocation schemes","level":3,"score":0.43057799339294434},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41637828946113586},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41095665097236633},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.38334909081459045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3713323175907135},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.338053435087204},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.20195290446281433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16919928789138794},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14838093519210815},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pimrc.2015.7343464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2015.7343464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W155432278","https://openalex.org/W1993917726","https://openalex.org/W1998697661","https://openalex.org/W2026959742","https://openalex.org/W2106553953","https://openalex.org/W2121308898","https://openalex.org/W2126105956","https://openalex.org/W2134439506","https://openalex.org/W2145590812","https://openalex.org/W2155860576","https://openalex.org/W2163601173","https://openalex.org/W2165756919","https://openalex.org/W2545175134"],"related_works":["https://openalex.org/W3034508715","https://openalex.org/W2540713768","https://openalex.org/W2322631759","https://openalex.org/W1484352081","https://openalex.org/W2032024533","https://openalex.org/W2062595562","https://openalex.org/W2062508111","https://openalex.org/W2055389430","https://openalex.org/W2043796379","https://openalex.org/W1616773451"],"abstract_inverted_index":{"Advanced":[0],"interference":[1],"coordination":[2],"and":[3,21,37,71,118,131,156],"resource":[4],"management":[5],"schemes":[6],"are":[7,134],"important":[8],"in":[9,13,40,79,105],"heterogeneous":[10],"wireless":[11],"networks":[12,43],"order":[14],"to":[15,95],"achieve":[16],"a":[17,30,57,88,119],"high":[18],"network":[19],"capacity":[20],"good":[22],"user":[23],"experience.":[24],"In":[25,126],"this":[26,137],"paper,":[27],"we":[28],"present":[29],"joint":[31],"consideration":[32],"of":[33,49,53,140,153],"the":[34,45,54,67,73,83,97,106,146,151,154,158,161],"sub-channel":[35,116],"allocation":[36],"power":[38,124],"distribution":[39],"MIMO":[41],"two-tier":[42],"where":[44],"femtocells":[46],"form":[47],"clusters":[48],"equal":[50],"size.":[51],"All":[52],"BSs":[55],"have":[56],"multi-antenna":[58],"configuration":[59],"utilizing":[60],"zero-forcing":[61],"beamforming.":[62],"The":[63],"optimization":[64],"objective":[65],"maximizes":[66],"long-term":[68],"system":[69,155],"throughput":[70,152],"guarantees":[72],"fairness":[74,159],"among":[75,160],"Femto":[76],"users":[77],"(FUEs)":[78],"different":[80],"tiers":[81],"at":[82],"same":[84],"time.":[85],"After":[86],"that,":[87],"modified":[89],"genetic":[90],"algorithm":[91],"(GA)":[92],"is":[93,109],"addressed":[94],"resolve":[96],"mixed-integer":[98],"nonlinear":[99],"programming":[100],"problem":[101],"involved.":[102],"Each":[103],"chromosome":[104],"proposed":[107,147],"GA":[108,148],"divided":[110],"into":[111],"an":[112],"integer":[113],"string":[114],"for":[115,123,136],"allocation,":[117],"real":[120],"number":[121],"strings":[122],"distribution.":[125],"addition,":[127],"new":[128,138],"initialization,":[129],"crossover":[130],"mutation":[132],"operations":[133],"employed":[135],"type":[139],"chromosomes.":[141],"Conducted":[142],"simulations":[143],"show":[144],"that":[145],"can":[149],"increase":[150],"guarantee":[157],"FUEs.":[162]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}