{"id":"https://openalex.org/W1609771289","doi":"https://doi.org/10.1109/wiopt.2015.7151124","title":"Performance laws of large heterogeneous cellular networks","display_name":"Performance laws of large heterogeneous cellular networks","publication_year":2015,"publication_date":"2015-05-01","ids":{"openalex":"https://openalex.org/W1609771289","doi":"https://doi.org/10.1109/wiopt.2015.7151124","mag":"1609771289"},"language":"en","primary_location":{"id":"doi:10.1109/wiopt.2015.7151124","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wiopt.2015.7151124","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 13th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1411.7785","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Bartlomiej Blaszczyszyn","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bartlomiej Blaszczyszyn","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Miodrag Jovanovic","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Miodrag Jovanovic","raw_affiliation_strings":["INRIA-ENS, Paris, France","Orange Labs, Issy-les-Moulineaux, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA-ENS, Paris, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I29607241"]},{"raw_affiliation_string":"Orange Labs, Issy-les-Moulineaux, France","institution_ids":["https://openalex.org/I19370010"]}]},{"author_position":"last","author":{"id":null,"display_name":"Mohamed Kadhem Karray","orcid":null},"institutions":[{"id":"https://openalex.org/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Kadhem Karray","raw_affiliation_strings":["Orange Labs, Issy-les-Moulineaux, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Orange Labs, Issy-les-Moulineaux, France","institution_ids":["https://openalex.org/I19370010"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.41,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.89509044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"597","last_page":"604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9995999932289124,"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":0.9995999932289124,"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/cellular-network","display_name":"Cellular network","score":0.593500018119812},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5679000020027161},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5673999786376953},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.5659999847412109},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.5576000213623047},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.489300012588501},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.4814999997615814},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.45410001277923584},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.42800000309944153}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6593000292778015},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.593500018119812},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5679000020027161},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5673999786376953},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5659999847412109},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.5576000213623047},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.489300012588501},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.4814999997615814},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.45410001277923584},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42800000309944153},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.40059998631477356},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.3977999985218048},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3474000096321106},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3465000092983246},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.34049999713897705},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32600000500679016},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.32010000944137573},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.313400000333786},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.30090001225471497},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2906000018119812},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.28839999437332153},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C104122410","wikidata":"https://www.wikidata.org/wiki/Q1416406","display_name":"Network model","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C38725249","wikidata":"https://www.wikidata.org/wiki/Q913876","display_name":"Time-sharing","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.25060001015663147},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/wiopt.2015.7151124","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wiopt.2015.7151124","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 13th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1411.7785","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.7785","pdf_url":"https://arxiv.org/pdf/1411.7785","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-01089264v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01089264","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":"WiOpt/SpaSWiN 2015, May 2015, Bombay, India. &#x27E8;10.1109/WIOPT.2015.7151124&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1411.7785","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.7785","pdf_url":"https://arxiv.org/pdf/1411.7785","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1962720224","https://openalex.org/W1988334478","https://openalex.org/W1995900307","https://openalex.org/W1998520172","https://openalex.org/W1999037997","https://openalex.org/W2007089224","https://openalex.org/W2008364132","https://openalex.org/W2010799397","https://openalex.org/W2018182850","https://openalex.org/W2026322314","https://openalex.org/W2043180800","https://openalex.org/W2047286362","https://openalex.org/W2088678166","https://openalex.org/W2100359132","https://openalex.org/W2128597432","https://openalex.org/W2142390529","https://openalex.org/W2145873277","https://openalex.org/W2149170915","https://openalex.org/W2150166076","https://openalex.org/W2155773016","https://openalex.org/W2157485058","https://openalex.org/W2170372734","https://openalex.org/W2293508925","https://openalex.org/W4205134336","https://openalex.org/W4238789901","https://openalex.org/W6620556582","https://openalex.org/W6664588408","https://openalex.org/W6672087677","https://openalex.org/W6673588281","https://openalex.org/W6683600283","https://openalex.org/W6684348690"],"related_works":[],"abstract_inverted_index":{"We":[0,112],"propose":[1],"a":[2,9,47,119],"model":[3,115],"for":[4],"heterogeneous":[5],"cellular":[6],"networks":[7],"assuming":[8],"space-time":[10],"Poisson":[11,39],"process":[12],"of":[13,26,37,89,102,109,143,148,160],"call":[14],"arrivals,":[15],"independently":[16],"marked":[17],"by":[18,23,34,59,64,131,151,157],"data":[19],"volumes,":[20],"and":[21,145,179],"served":[22,156],"different":[24,30,158],"types":[25,159],"base":[27,161],"stations":[28],"(having":[29],"transmission":[31],"powers)":[32],"represented":[33],"the":[35,42,60,84,90,94,106,110,127,132,146,152,180],"superposition":[36],"independent":[38],"processes":[40],"on":[41,76],"plane.":[43],"Each":[44],"station":[45],"applies":[46],"processor":[48],"sharing":[49],"policy":[50],"to":[51,83,93,116,166],"serve":[52],"users":[53,153],"arriving":[54],"in":[55,118,192],"its":[56],"vicinity,":[57],"modeled":[58],"Voronoi":[61],"cell":[62],"perturbed":[63],"some":[65,100],"random":[66],"signal":[67],"propagation":[68],"effects":[69],"(shadowing).":[70],"Users'":[71],"peak":[72],"service":[73,149],"rates":[74],"depend":[75],"their":[77],"signal-to-interference-and-noise":[78],"ratios":[79],"(SINR)":[80],"with":[81,126],"respect":[82],"serving":[85],"station.":[86],"The":[87,183],"mutual-dependence":[88],"cells":[91],"(due":[92],"extra-cell":[95],"interference)":[96],"is":[97,165],"captured":[98],"via":[99],"system":[101],"cell-load":[103],"equations":[104],"impacting":[105],"spatial":[107],"distribution":[108],"SINR.":[111],"use":[113],"this":[114],"study":[117],"semi-analytic":[120],"way":[121],"(involving":[122],"only":[123],"static":[124],"simulations,":[125],"temporal":[128],"evolution":[129],"handled":[130],"queuing":[133],"theoretic":[134],"results)":[135],"network":[136,181],"performance":[137,172],"metrics":[138],"(cell":[139],"loads,":[140],"mean":[141],"number":[142],"users)":[144],"quality":[147],"perceived":[150],"(mean":[154],"throughput)":[155],"stations.":[162],"Our":[163],"goal":[164],"identify":[167],"macroscopic":[168],"laws":[169,185],"regarding":[170],"these":[171],"metrics,":[173],"involving":[174],"averaging":[175],"both":[176],"over":[177],"time":[178],"geometry.":[182],"reveled":[184],"are":[186],"validated":[187],"against":[188],"real":[189],"field":[190],"measurement":[191],"an":[193],"operational":[194],"network.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
