{"id":"https://openalex.org/W2140480675","doi":"https://doi.org/10.1109/tit.1985.1057025","title":"Stochastic approximation methods for decentralized control of multiaccess communications","display_name":"Stochastic approximation methods for decentralized control of multiaccess communications","publication_year":1985,"publication_date":"1985-03-01","ids":{"openalex":"https://openalex.org/W2140480675","doi":"https://doi.org/10.1109/tit.1985.1057025","mag":"2140480675"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1985.1057025","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057025","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5047760182","display_name":"Bruce Hajek","orcid":"https://orcid.org/0000-0002-8520-0196"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4400573203","display_name":"Nature Inspires Creativity Engineers Lab","ror":"https://ror.org/02bczqy30","country_code":null,"type":"facility","lineage":["https://openalex.org/I201841394","https://openalex.org/I4400573203"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Hajek","raw_affiliation_strings":["Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Coordinated Science Lab"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Coordinated Science Lab","institution_ids":["https://openalex.org/I4400573203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047760182"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I4400573203"],"apc_list":null,"apc_paid":null,"fwci":1.0068,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.81338028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"2","first_page":"176","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11158","display_name":"Wireless Networks and Protocols","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11158","display_name":"Wireless Networks and Protocols","score":0.9998000264167786,"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":0.9976000189781189,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9968000054359436,"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":0.6166439056396484},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5697036981582642},{"id":"https://openalex.org/keywords/spread-spectrum","display_name":"Spread spectrum","score":0.5624156594276428},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5404871106147766},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5394459962844849},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5317764282226562},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.490755170583725},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4766876697540283},{"id":"https://openalex.org/keywords/telecommunications-network","display_name":"Telecommunications network","score":0.4675513505935669},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic approximation","score":0.4419430196285248},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4214060306549072},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4117094576358795},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3774915933609009},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3590546250343323},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.301053524017334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27517902851104736},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2516435980796814},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24478217959403992},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.1795237958431244}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6166439056396484},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5697036981582642},{"id":"https://openalex.org/C105344744","wikidata":"https://www.wikidata.org/wiki/Q958957","display_name":"Spread spectrum","level":3,"score":0.5624156594276428},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5404871106147766},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5394459962844849},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5317764282226562},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.490755170583725},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4766876697540283},{"id":"https://openalex.org/C192126672","wikidata":"https://www.wikidata.org/wiki/Q1068715","display_name":"Telecommunications network","level":2,"score":0.4675513505935669},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.4419430196285248},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4214060306549072},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4117094576358795},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3774915933609009},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3590546250343323},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.301053524017334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27517902851104736},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2516435980796814},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24478217959403992},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.1795237958431244},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1985.1057025","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057025","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W314474891","https://openalex.org/W374079423","https://openalex.org/W1967922152","https://openalex.org/W1989849295","https://openalex.org/W2013932004","https://openalex.org/W2017617691","https://openalex.org/W2050140857","https://openalex.org/W2056691113","https://openalex.org/W2125278314","https://openalex.org/W2160193631","https://openalex.org/W2161345557","https://openalex.org/W2162356428","https://openalex.org/W2163208395","https://openalex.org/W2167853385","https://openalex.org/W2207791766","https://openalex.org/W2252925956","https://openalex.org/W2739739153","https://openalex.org/W3041969941","https://openalex.org/W4403115263","https://openalex.org/W6642271258","https://openalex.org/W6742403568","https://openalex.org/W6780780785"],"related_works":["https://openalex.org/W2362112362","https://openalex.org/W2304504342","https://openalex.org/W4224302876","https://openalex.org/W2150528929","https://openalex.org/W2949597507","https://openalex.org/W2156326090","https://openalex.org/W2150901859","https://openalex.org/W84146095","https://openalex.org/W2119298659","https://openalex.org/W2963001040"],"abstract_inverted_index":{"Strategies":[0],"based":[1,23,71],"on":[2,24,72,81],"stochastic":[3],"approximation":[4],"are":[5,88],"suggested":[6],"for":[7,31,39],"controlling":[8],"the":[9,40,45,57,65],"transmission":[10,82],"probabilities":[11],"of":[12,42,56],"stations":[13],"sharing":[14],"a":[15,68,74,85],"collision":[16],"access":[17],"communication":[18],"channel.":[19],"Examples":[20],"include":[21],"strategies":[22,29,37],"acknowledgment":[25],"feedback":[26],"only,":[27],"and":[28,67],"suitable":[30],"frequency-hopped":[32],"spread":[33],"spectrum":[34],"channels.":[35],"The":[36],"provide":[38],"incorporation":[41],"priorities":[43],"among":[44],"stations.":[46],"A":[47],"Lyapunov-like":[48],"function":[49,76],"is":[50,62,77],"constructed":[51],"to":[52],"prove":[53],"global":[54],"stability":[55],"ordinary":[58],"differential":[59],"equation":[60],"which":[61],"approximated":[63],"by":[64],"system,":[66],"design":[69],"methodology":[70],"minimizing":[73],"cost":[75],"given.":[78],"Preliminary":[79],"results":[80],"control":[83],"in":[84],"nonbroadcast":[86],"network":[87],"presented.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}