{"id":"https://openalex.org/W2190455466","doi":"https://doi.org/10.1186/s13638-015-0486-z","title":"Cross-layer distributed power control: a repeated game formulation to improve the sum energy efficiency","display_name":"Cross-layer distributed power control: a repeated game formulation to improve the sum energy efficiency","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2190455466","doi":"https://doi.org/10.1186/s13638-015-0486-z","mag":"2190455466"},"language":"en","primary_location":{"id":"doi:10.1186/s13638-015-0486-z","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-015-0486-z","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1186/s13638-015-0486-z","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1186/s13638-015-0486-z","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mariem Mhiri","orcid":null},"institutions":[{"id":"https://openalex.org/I2800887215","display_name":"Tunisia Polytechnic School","ror":"https://ror.org/00dse3307","country_code":"TN","type":"education","lineage":["https://openalex.org/I2800887215"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Mariem Mhiri","raw_affiliation_strings":["SERCOM Laboratory, Tunisia Polytechnic School, La Marsa, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SERCOM Laboratory, Tunisia Polytechnic School, La Marsa, Tunisia","institution_ids":["https://openalex.org/I2800887215"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Vineeth S. Varma","orcid":null},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Vineeth S. Varma","raw_affiliation_strings":["Singapore University of Technology and Design, Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Singapore University of Technology and Design, Singapore, Singapore","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Karim Cheikhrouhou","orcid":null},"institutions":[{"id":"https://openalex.org/I2800887215","display_name":"Tunisia Polytechnic School","ror":"https://ror.org/00dse3307","country_code":"TN","type":"education","lineage":["https://openalex.org/I2800887215"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Karim Cheikhrouhou","raw_affiliation_strings":["SERCOM Laboratory, Tunisia Polytechnic School, La Marsa, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SERCOM Laboratory, Tunisia Polytechnic School, La Marsa, Tunisia","institution_ids":["https://openalex.org/I2800887215"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Samson Lasaulce","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Samson Lasaulce","raw_affiliation_strings":["L2S - CNRS - SUPELEC, 91192 Gif-sur-Yvette, University of Paris-Sud, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L2S - CNRS - SUPELEC, 91192 Gif-sur-Yvette, University of Paris-Sud, Paris, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I102475099","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":null,"display_name":"Abdelaziz Samet","orcid":null},"institutions":[{"id":"https://openalex.org/I39481719","display_name":"Institut National de la Recherche Scientifique","ror":"https://ror.org/04td37d32","country_code":"CA","type":"education","lineage":["https://openalex.org/I39481719","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Abdelaziz Samet","raw_affiliation_strings":["EMT Centre, INRS University, Ouest Montr\u00e9al, Qu\u00e9bec, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EMT Centre, INRS University, Ouest Montr\u00e9al, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I39481719"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1665,"currency":"USD","value_usd":1665},"apc_paid":{"value":1665,"currency":"USD","value_usd":1665},"fwci":0.1604,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59820297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2015","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11409","display_name":"Advanced Wireless Network Optimization","score":0.5040000081062317,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.5040000081062317,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.1307000070810318,"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/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.08799999952316284,"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/queue","display_name":"Queue","score":0.6014999747276306},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5949000120162964},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.5831000208854675},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.5410000085830688},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.48170000314712524},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4668999910354614},{"id":"https://openalex.org/keywords/performance-metric","display_name":"Performance metric","score":0.4666999876499176},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.45410001277923584}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7983999848365784},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6014999747276306},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5949000120162964},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.5831000208854675},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.5410000085830688},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5066999793052673},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.48170000314712524},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4668999910354614},{"id":"https://openalex.org/C2780898871","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Performance metric","level":2,"score":0.4666999876499176},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.45410001277923584},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.45339998602867126},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4361000061035156},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.42089998722076416},{"id":"https://openalex.org/C90376892","wikidata":"https://www.wikidata.org/wiki/Q1516247","display_name":"Bargaining problem","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.35249999165534973},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3499000072479248},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.2955000102519989},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.29350000619888306},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C45872418","wikidata":"https://www.wikidata.org/wiki/Q5318966","display_name":"Dynamic demand","level":3,"score":0.26989999413490295},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2628999948501587}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1186/s13638-015-0486-z","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-015-0486-z","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1186/s13638-015-0486-z","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1601.00873","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.00873","pdf_url":"https://arxiv.org/pdf/1601.00873","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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-01265212v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01265212","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking, 2015, ⟨10.1186/s13638-015-0486-z⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1186/s13638-015-0486-z","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-015-0486-z","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1186/s13638-015-0486-z","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2190455466.pdf","grobid_xml":"https://content.openalex.org/works/W2190455466.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1489831475","https://openalex.org/W1490996126","https://openalex.org/W1516753959","https://openalex.org/W1554956999","https://openalex.org/W1979505449","https://openalex.org/W1987032107","https://openalex.org/W2011383489","https://openalex.org/W2029784636","https://openalex.org/W2058994941","https://openalex.org/W2060231980","https://openalex.org/W2070791345","https://openalex.org/W2105327482","https://openalex.org/W2114798382","https://openalex.org/W2120445834","https://openalex.org/W2121147414","https://openalex.org/W2156714451","https://openalex.org/W2158536948","https://openalex.org/W2160450532","https://openalex.org/W2167144534","https://openalex.org/W2167465093","https://openalex.org/W2763309075","https://openalex.org/W4293229790","https://openalex.org/W6600223405"],"related_works":[],"abstract_inverted_index":{"The":[0],"main":[1],"objective":[2],"of":[3,13,42,81,135,160,195,199,201,213,223,230,264,273,281,295],"this":[4,107],"work":[5,103],"is":[6,58,73,97,138,171,300],"to":[7,240,258],"improve":[8],"the":[9,39,46,61,70,79,90,93,101,111,117,128,132,139,146,158,181,196,202,209,214,225,236,241,244,250,254,267,277,284,289,293,304,318,324],"energy":[10,66,113,141,150],"efficiency":[11,142],"(EE)":[12],"a":[14,24,43,50,64,82,175,260],"multiple":[15,121],"access":[16],"channel":[17,188],"(MAC)":[18],"system,":[19],"through":[20,157],"power":[21,35,72,320],"control,":[22,36],"in":[23,228,253,266,283,311],"distributed":[25],"manner.":[26],"In":[27,275],"contrast":[28],"with":[29,124,288,303,314],"many":[30],"existing":[31],"works":[32],"on":[33,186],"energy-efficient":[34],"which":[37],"ignore":[38],"possible":[40],"presence":[41,80],"queue":[44],"at":[45,89,105],"transmitter,":[47],"we":[48,308],"consider":[49],"new":[51,176,237],"generalized":[52],"cross-layer":[53,251,290,319],"EE":[54],"metric.":[55],"This":[56],"approach":[57],"relevant":[59],"when":[60,69,173,234,292],"transmitters":[62],"have":[63],"non-zero":[65],"cost":[67],"even":[68,269],"radiated":[71],"zero":[74],"and":[75,86,166,183,208,232,243],"takes":[76],"into":[77],"account":[78],"finite":[83,205],"packet":[84,87,316],"buffer":[85],"arrival":[88],"transmitter.":[91],"As":[92],"Nash":[94,245],"equilibrium":[95,170],"(NE)":[96],"an":[98],"energy-inefficient":[99],"solution,":[100],"present":[102],"aims":[104],"overcoming":[106],"deficit":[108],"by":[109],"improving":[110,224],"global":[112,140],"efficiency.":[114],"Indeed,":[115],"as":[116,145],"considered":[118],"system":[119,226],"has":[120],"agencies":[122],"each":[123,136],"their":[125],"own":[126],"interest,":[127],"performance":[129],"metric":[130],"reflecting":[131],"individual":[133,149,187],"interest":[134],"decision-maker":[137],"defined":[143,172],"then":[144],"sum":[147],"over":[148],"efficiencies.":[151],"Repeated":[152],"games":[153,163],"(RG)":[154],"are":[155],"investigated":[156],"study":[159],"two":[161],"dynamic":[162],"(finite":[164],"RG":[165,206,216,255],"discounted":[167,215],"RG),":[168],"whose":[169],"introducing":[174],"operating":[177],"point":[178],"(OP),":[179],"Pareto-dominating":[180],"NE":[182,242],"relying":[184],"only":[185],"state":[189],"information":[190],"(CSI).":[191],"Accordingly,":[192],"closed-form":[193],"expressions":[194],"minimum":[197,262],"number":[198,263,272,294],"stages":[200,265],"game":[203],"for":[204,270],"(FRG)":[207],"maximum":[210],"discount":[211],"factor":[212],"(DRG)":[217],"were":[218],"established.":[219],"Our":[220],"contributions":[221],"consist":[222],"performances":[227],"terms":[229],"powers":[231],"utilities":[233],"using":[235],"OP":[238],"compared":[239],"bargaining":[246],"(NB)":[247],"solution.":[248],"Moreover,":[249],"model":[252,291],"formulation":[256],"leads":[257],"achieving":[259],"shorter":[261],"FRG":[268],"higher":[271],"users.":[274],"addition,":[276],"social":[278],"welfare":[279],"(sum":[280],"utilities)":[282],"DRG":[285],"decreases":[286],"slightly":[287],"users":[296],"increases":[297],"while":[298],"it":[299],"reduced":[301],"considerably":[302],"Goodman":[305,325],"model.":[306],"Finally,":[307],"show":[309],"that":[310],"real":[312],"systems":[313],"random":[315],"arrivals,":[317],"control":[321],"algorithm":[322],"outperforms":[323],"algorithm.":[326]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}