{"id":"https://openalex.org/W3038392021","doi":"https://doi.org/10.1109/vtc2020-spring48590.2020.9128648","title":"Dynamic Multi-RAT Access for Ultra Dense 5G and Beyond: A Mean Field Perspective","display_name":"Dynamic Multi-RAT Access for Ultra Dense 5G and Beyond: A Mean Field Perspective","publication_year":2020,"publication_date":"2020-05-01","ids":{"openalex":"https://openalex.org/W3038392021","doi":"https://doi.org/10.1109/vtc2020-spring48590.2020.9128648","mag":"3038392021"},"language":"en","primary_location":{"id":"doi:10.1109/vtc2020-spring48590.2020.9128648","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtc2020-spring48590.2020.9128648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE 91st Vehicular Technology Conference (VTC2020-Spring)","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/A5010230729","display_name":"Sami Nadif","orcid":"https://orcid.org/0000-0003-4141-5491"},"institutions":[{"id":"https://openalex.org/I4210145365","display_name":"Universit\u00e9 Hassan 1er","ror":"https://ror.org/03cdvht47","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210145365"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Sami Nadif","raw_affiliation_strings":["IR2M lab., FST, Hassan I University of Settat, Morocco"],"affiliations":[{"raw_affiliation_string":"IR2M lab., FST, Hassan I University of Settat, Morocco","institution_ids":["https://openalex.org/I4210145365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019615104","display_name":"Essa\u00efd Sabir","orcid":"https://orcid.org/0000-0001-9946-5761"},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Essaid Sabir","raw_affiliation_strings":["NEST Research Group, ENSEM, Hassan II University of Casablanca, Morocco"],"affiliations":[{"raw_affiliation_string":"NEST Research Group, ENSEM, Hassan II University of Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009168558","display_name":"Halima Elbiaze","orcid":"https://orcid.org/0000-0001-5681-6445"},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Halima Elbiaze","raw_affiliation_strings":["Department of Computer Science, University of Quebec at Montreal, Montreal, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Quebec at Montreal, Montreal, Canada","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046331572","display_name":"Abdelkrim Haqiq","orcid":"https://orcid.org/0000-0002-8857-6586"},"institutions":[{"id":"https://openalex.org/I4210145365","display_name":"Universit\u00e9 Hassan 1er","ror":"https://ror.org/03cdvht47","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210145365"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Abdelkrim Haqiq","raw_affiliation_strings":["IR2M lab., FST, Hassan I University of Settat, Morocco"],"affiliations":[{"raw_affiliation_string":"IR2M lab., FST, Hassan I University of Settat, Morocco","institution_ids":["https://openalex.org/I4210145365"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010230729"],"corresponding_institution_ids":["https://openalex.org/I4210145365"],"apc_list":null,"apc_paid":null,"fwci":0.1027,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.41369658,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1892","issue":null,"first_page":"1","last_page":"5"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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/T11409","display_name":"Advanced Wireless Network Optimization","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"}}],"keywords":[{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6888996362686157},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6200697422027588},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5419519543647766},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.5180073380470276},{"id":"https://openalex.org/keywords/multihoming","display_name":"Multihoming","score":0.5083679556846619},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.46207621693611145},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.46153438091278076},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.45640647411346436},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.4557967782020569},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33699578046798706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2680841088294983},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.19117635488510132},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15738877654075623},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1389910876750946},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13011467456817627},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.10635524988174438}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6888996362686157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6200697422027588},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5419519543647766},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.5180073380470276},{"id":"https://openalex.org/C65714651","wikidata":"https://www.wikidata.org/wiki/Q1662626","display_name":"Multihoming","level":4,"score":0.5083679556846619},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.46207621693611145},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.46153438091278076},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.45640647411346436},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.4557967782020569},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33699578046798706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2680841088294983},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.19117635488510132},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15738877654075623},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1389910876750946},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13011467456817627},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.10635524988174438},{"id":"https://openalex.org/C35341882","wikidata":"https://www.wikidata.org/wiki/Q8795","display_name":"Internet Protocol","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"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/C110875604","wikidata":"https://www.wikidata.org/wiki/Q75","display_name":"The Internet","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/vtc2020-spring48590.2020.9128648","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtc2020-spring48590.2020.9128648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE 91st Vehicular Technology Conference (VTC2020-Spring)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1981066502","https://openalex.org/W2005108639","https://openalex.org/W2191948661","https://openalex.org/W2345697375","https://openalex.org/W2492952205","https://openalex.org/W2505152784","https://openalex.org/W2562105430","https://openalex.org/W2910887805","https://openalex.org/W2952892930","https://openalex.org/W4289463970","https://openalex.org/W6639907736","https://openalex.org/W6754912291"],"related_works":["https://openalex.org/W6162353","https://openalex.org/W1755687156","https://openalex.org/W2062222314","https://openalex.org/W4381082124","https://openalex.org/W2134836654","https://openalex.org/W2155929356","https://openalex.org/W2103440894","https://openalex.org/W4250395763","https://openalex.org/W2388829423","https://openalex.org/W2240100818"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,48,82],"investigate":[4],"the":[5,50,61,72,84],"uplink":[6],"power":[7,87],"allocation":[8],"problem":[9,51],"in":[10],"a":[11,53,78],"large":[12],"scale":[13],"environment":[14],"for":[15,26,88],"user":[16,38],"devices":[17],"with":[18,57],"multi-homing":[19,27],"capabilities.":[20],"We":[21],"introduce":[22],"an":[23],"analytical":[24],"model":[25],"ultra-dense":[28],"heterogeneous":[29],"networks,":[30],"which":[31],"takes":[32],"into":[33],"account":[34],"spatial":[35],"randomness":[36],"and":[37,45,91],"device":[39],"diversity.":[40],"Coupling":[41],"stochastic":[42],"geometry":[43],"analysis":[44],"mean-field":[46,54,73],"approximation,":[47],"formulate":[49],"as":[52],"optimal":[55,85],"control":[56],"two":[58],"populations.":[59],"Then,":[60],"optimality":[62],"conditions":[63],"are":[64],"derived":[65],"using":[66,77],"Lagrangian":[67],"dual":[68],"formulation":[69],"to":[70],"obtain":[71],"equilibrium.":[74],"Finally,":[75],"by":[76],"finite":[79],"difference":[80],"method,":[81],"illustrate":[83],"transmit":[86],"both":[89],"uni-homed":[90],"dual-homed":[92],"devices.":[93]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}