{"id":"https://openalex.org/W4303981369","doi":"https://doi.org/10.3390/s22197582","title":"A Primal\u2013Dual-Based Power Control Approach for Capacitated Edge Servers","display_name":"A Primal\u2013Dual-Based Power Control Approach for Capacitated Edge Servers","publication_year":2022,"publication_date":"2022-10-06","ids":{"openalex":"https://openalex.org/W4303981369","doi":"https://doi.org/10.3390/s22197582","pmid":"https://pubmed.ncbi.nlm.nih.gov/36236682"},"language":"en","primary_location":{"id":"doi:10.3390/s22197582","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22197582","pdf_url":"https://www.mdpi.com/1424-8220/22/19/7582/pdf?version=1665385772","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/22/19/7582/pdf?version=1665385772","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011162410","display_name":"Qinghui Zhang","orcid":"https://orcid.org/0000-0002-8387-7304"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinghui Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming 650091, China"],"raw_orcid":"https://orcid.org/0000-0002-8387-7304","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming 650091, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054712771","display_name":"Weidong Li","orcid":"https://orcid.org/0000-0003-3094-4347"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weidong Li","raw_affiliation_strings":["School of Mathematics and Statistics, Yunnan University, Kunming 650091, China"],"raw_orcid":"https://orcid.org/0000-0003-3094-4347","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Yunnan University, Kunming 650091, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026732656","display_name":"Qian Su","orcid":"https://orcid.org/0000-0002-5583-5510"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian Su","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming 650091, China"],"raw_orcid":"https://orcid.org/0000-0002-5583-5510","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming 650091, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100707916","display_name":"Xuejie Zhang","orcid":"https://orcid.org/0000-0002-6591-0916"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuejie Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Yunnan University, Kunming 650091, China"],"raw_orcid":"https://orcid.org/0000-0002-6591-0916","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Yunnan University, Kunming 650091, China","institution_ids":["https://openalex.org/I189210763"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100707916"],"corresponding_institution_ids":["https://openalex.org/I189210763"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2673},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2673},"fwci":0.5207,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.59034342,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"19","first_page":"7582","last_page":"7582"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9997000098228455,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9997000098228455,"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/T12079","display_name":"IoT Networks and Protocols","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/T10273","display_name":"IoT and Edge/Fog Computing","score":0.9993000030517578,"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/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.6682067513465881},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6627777218818665},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.6517933011054993},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5278011560440063},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5194677710533142},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4777193069458008},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.4703148901462555},{"id":"https://openalex.org/keywords/quality-of-service","display_name":"Quality of service","score":0.4502687454223633},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.43751060962677},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.41282370686531067},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4074609875679016},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40214768052101135},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.33136099576950073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32468920946121216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2108723223209381},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20073679089546204},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.08171918988227844}],"concepts":[{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.6682067513465881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6627777218818665},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.6517933011054993},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5278011560440063},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5194677710533142},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4777193069458008},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.4703148901462555},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.4502687454223633},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.43751060962677},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.41282370686531067},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4074609875679016},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40214768052101135},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.33136099576950073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32468920946121216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2108723223209381},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20073679089546204},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.08171918988227844},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/s22197582","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22197582","pdf_url":"https://www.mdpi.com/1424-8220/22/19/7582/pdf?version=1665385772","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},{"id":"pmid:36236682","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36236682","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:d5c0a674527a4fd4ba0aa9f178d5f8ad","is_oa":true,"landing_page_url":"https://doaj.org/article/d5c0a674527a4fd4ba0aa9f178d5f8ad","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":"Sensors, Vol 22, Iss 19, p 7582 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1424-8220/22/19/7582/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/s22197582","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors; Volume 22; Issue 19; Pages: 7582","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9571486","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9571486","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/s22197582","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22197582","pdf_url":"https://www.mdpi.com/1424-8220/22/19/7582/pdf?version=1665385772","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.9200000166893005}],"awards":[{"id":"https://openalex.org/G1801391925","display_name":"\u9762\u5411\u5c0f\u8bed\u79cd\u7684\u9ad8\u6027\u80fd\u6587\u672c\u60c5\u611f\u5206\u6790\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61762091","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2177220616","display_name":null,"funder_award_id":"2022J0002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3794776545","display_name":"\u4e91\u8fb9\u534f\u540c\u73af\u5883\u4e2d\u57fa\u4e8e\u65f6\u53d8\u7684\u591a\u7ef4\u8d44\u6e90\u5206\u914d\u53ca\u4ef7\u683c\u673a\u5236\u7814\u7a76","funder_award_id":"62062065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3868913751","display_name":null,"funder_award_id":"2021Z079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7487078394","display_name":null,"funder_award_id":"61762091","funder_id":"https://openalex.org/F4320324731","funder_display_name":"Yunnan University"},{"id":"https://openalex.org/G8868629760","display_name":null,"funder_award_id":"2022J0002","funder_id":"https://openalex.org/F4320324734","funder_display_name":"Yunnan Provincial Department of Education"},{"id":"https://openalex.org/G905374995","display_name":null,"funder_award_id":"12071417","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324731","display_name":"Yunnan University","ror":"https://ror.org/0040axw97"},{"id":"https://openalex.org/F4320324734","display_name":"Yunnan Provincial Department of Education","ror":"https://ror.org/02yrxdp92"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4303981369.pdf","grobid_xml":"https://content.openalex.org/works/W4303981369.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1511888745","https://openalex.org/W1930431538","https://openalex.org/W1986685589","https://openalex.org/W2064600658","https://openalex.org/W2112692787","https://openalex.org/W2527855297","https://openalex.org/W2558431499","https://openalex.org/W2751904527","https://openalex.org/W2792919356","https://openalex.org/W2795679525","https://openalex.org/W2897042868","https://openalex.org/W2917823826","https://openalex.org/W2969885757","https://openalex.org/W2971314613","https://openalex.org/W2979596121","https://openalex.org/W2996916346","https://openalex.org/W3126415943","https://openalex.org/W3135553056","https://openalex.org/W3208807216","https://openalex.org/W3215399020","https://openalex.org/W4205441890","https://openalex.org/W4225385666","https://openalex.org/W4241195282","https://openalex.org/W4280622886","https://openalex.org/W4289550869","https://openalex.org/W4291278197","https://openalex.org/W6640515041","https://openalex.org/W6750373374"],"related_works":["https://openalex.org/W2124240980","https://openalex.org/W2519403816","https://openalex.org/W2138759004","https://openalex.org/W2292005531","https://openalex.org/W2606858825","https://openalex.org/W2003870685","https://openalex.org/W2533637577","https://openalex.org/W2756136173","https://openalex.org/W4232438839","https://openalex.org/W2955945540"],"abstract_inverted_index":{"The":[0,143],"intensity":[1],"of":[2,29,54,60,72,97],"radio":[3],"waves":[4],"decays":[5],"rapidly":[6],"with":[7,44,136],"increasing":[8],"propagation":[9],"distance,":[10],"and":[11,76,92,109,127],"an":[12,129],"edge":[13,31,42,74,89],"server\u2019s":[14],"antenna":[15,71],"needs":[16],"more":[17],"power":[18,28,68,96],"to":[19,36,56,153],"form":[20],"a":[21,51,78,103,124,150],"larger":[22],"signal":[23,66,79,91],"coverage":[24],"area.":[25],"Therefore,":[26],"the":[27,30,58,65,70,88,94,98,154],"server":[32,75,90],"should":[33],"be":[34],"controlled":[35],"reduce":[37],"energy":[38],"consumption.":[39],"In":[40,119],"addition,":[41],"servers":[43],"capacitated":[45],"resources":[46],"provide":[47],"services":[48],"for":[49,69],"only":[50],"limited":[52],"number":[53],"users":[55,84],"ensure":[57],"quality":[59],"service":[61],"(QoS).":[62],"We":[63,132],"set":[64,106],"transmission":[67],"each":[73],"formed":[77],"disk,":[80],"ensuring":[81],"that":[82,146],"all":[83],"were":[85],"covered":[86],"by":[87],"minimizing":[93],"total":[95],"system.":[99],"This":[100],"scenario":[101],"is":[102],"typical":[104],"geometric":[105],"covering":[107],"problem,":[108],"even":[110],"simple":[111],"cases":[112],"without":[113],"capacity":[114],"limits":[115],"are":[116],"NP-hard":[117],"problems.":[118],"this":[120],"paper,":[121],"we":[122],"propose":[123],"primal\u2013dual-based":[125],"algorithm":[126,135,148],"obtain":[128],"m-approximation":[130],"result.":[131],"compare":[133],"our":[134,147],"two":[137],"other":[138],"algorithms":[139],"through":[140],"simulation":[141],"experiments.":[142],"results":[144],"show":[145],"obtains":[149],"result":[151],"close":[152],"optimal":[155],"value":[156],"in":[157],"polynomial":[158],"time.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
