{"id":"https://openalex.org/W2152214168","doi":"https://doi.org/10.1109/icc.2009.5199520","title":"Theoretical Analysis of Selective Relaying, Cooperative Multi-Hop Networks with Fairness Constraints","display_name":"Theoretical Analysis of Selective Relaying, Cooperative Multi-Hop Networks with Fairness Constraints","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2152214168","doi":"https://doi.org/10.1109/icc.2009.5199520","mag":"2152214168"},"language":"en","primary_location":{"id":"doi:10.1109/icc.2009.5199520","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc.2009.5199520","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Communications","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/A5034541026","display_name":"Erwu Liu","orcid":"https://orcid.org/0000-0002-2706-6208"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"E. Liu","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089642199","display_name":"Qingcheng Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Q. T. Zhang","raw_affiliation_strings":["Johns Hopkins University, Baltimore, MD, US"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University, Baltimore, MD, US","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020917506","display_name":"Kin K. Leung","orcid":"https://orcid.org/0000-0002-3860-6257"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"K. K. Leung","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034541026"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.7243,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76035063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9915000200271606,"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":0.9883000254631042,"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/computer-science","display_name":"Computer science","score":0.7306728959083557},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.7157052755355835},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.6678948402404785},{"id":"https://openalex.org/keywords/maximum-throughput-scheduling","display_name":"Maximum throughput scheduling","score":0.6534755229949951},{"id":"https://openalex.org/keywords/proportionally-fair","display_name":"Proportionally fair","score":0.6445283889770508},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.6403841972351074},{"id":"https://openalex.org/keywords/hop","display_name":"Hop (telecommunications)","score":0.6157315969467163},{"id":"https://openalex.org/keywords/cooperative-diversity","display_name":"Cooperative diversity","score":0.578404426574707},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.48216861486434937},{"id":"https://openalex.org/keywords/max-min-fairness","display_name":"Max-min fairness","score":0.4719266891479492},{"id":"https://openalex.org/keywords/fairness-measure","display_name":"Fairness measure","score":0.4617462456226349},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.4477151930332184},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4135853946208954},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.4002181589603424},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.36609143018722534},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.359866201877594},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.34759074449539185},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.25600847601890564},{"id":"https://openalex.org/keywords/quality-of-service","display_name":"Quality of service","score":0.19258728623390198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14042139053344727},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13107454776763916},{"id":"https://openalex.org/keywords/dynamic-priority-scheduling","display_name":"Dynamic priority scheduling","score":0.12266242504119873},{"id":"https://openalex.org/keywords/round-robin-scheduling","display_name":"Round-robin scheduling","score":0.1083848774433136}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7306728959083557},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7157052755355835},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.6678948402404785},{"id":"https://openalex.org/C29722447","wikidata":"https://www.wikidata.org/wiki/Q17097321","display_name":"Maximum throughput scheduling","level":5,"score":0.6534755229949951},{"id":"https://openalex.org/C86127852","wikidata":"https://www.wikidata.org/wiki/Q7250364","display_name":"Proportionally fair","level":5,"score":0.6445283889770508},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.6403841972351074},{"id":"https://openalex.org/C25906391","wikidata":"https://www.wikidata.org/wiki/Q1432381","display_name":"Hop (telecommunications)","level":2,"score":0.6157315969467163},{"id":"https://openalex.org/C6832461","wikidata":"https://www.wikidata.org/wiki/Q5167914","display_name":"Cooperative diversity","level":4,"score":0.578404426574707},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.48216861486434937},{"id":"https://openalex.org/C177972170","wikidata":"https://www.wikidata.org/wiki/Q17097315","display_name":"Max-min fairness","level":3,"score":0.4719266891479492},{"id":"https://openalex.org/C11867375","wikidata":"https://www.wikidata.org/wiki/Q5430671","display_name":"Fairness measure","level":4,"score":0.4617462456226349},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.4477151930332184},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4135853946208954},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.4002181589603424},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.36609143018722534},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.359866201877594},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.34759074449539185},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.25600847601890564},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.19258728623390198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14042139053344727},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13107454776763916},{"id":"https://openalex.org/C107568181","wikidata":"https://www.wikidata.org/wiki/Q5319000","display_name":"Dynamic priority scheduling","level":3,"score":0.12266242504119873},{"id":"https://openalex.org/C175893541","wikidata":"https://www.wikidata.org/wiki/Q1196582","display_name":"Round-robin scheduling","level":4,"score":0.1083848774433136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icc.2009.5199520","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc.2009.5199520","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Communications","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.307.9755","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.307.9755","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.commsp.ee.ic.ac.uk/~wiser/publications/Erwu/erwu_2009_17_TASR.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1987497363","https://openalex.org/W2096069492","https://openalex.org/W2107286784","https://openalex.org/W2111337460","https://openalex.org/W2128295617","https://openalex.org/W2128597432","https://openalex.org/W2130347036","https://openalex.org/W2131187424","https://openalex.org/W2143547196","https://openalex.org/W2148963518","https://openalex.org/W2149815616","https://openalex.org/W2152121970","https://openalex.org/W3100839090","https://openalex.org/W4232789573"],"related_works":["https://openalex.org/W1605983382","https://openalex.org/W1999684000","https://openalex.org/W2402400303","https://openalex.org/W2320592338","https://openalex.org/W2138888940","https://openalex.org/W2369668848","https://openalex.org/W2136681811","https://openalex.org/W2165715302","https://openalex.org/W1974879901","https://openalex.org/W1977807590"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,19,29,44,65,75,120,130],"problem":[3],"of":[4,99,132,145],"selective":[5],"relaying":[6],"in":[7,32,80],"multi-hop":[8,71,104,138],"networks.":[9,153],"At":[10],"each":[11],"slot,":[12],"a":[13,16,33,37,69,111,124,133],"relay":[14],"and":[15,55,60,83,91],"node":[17,31],"along":[18,68],"optimal":[20],"non-cooperative":[21],"path":[22,105],"are":[23],"opportunistically":[24],"selected":[25],"to":[26,28],"transmit":[27],"next-hop":[30],"cooperative":[34,70,86,103,137],"manner.":[35],"Being":[36],"promising":[38],"scheme":[39],"for":[40,85,96,129,151],"fair":[41,46,77,135],"resource":[42],"allocation,":[43],"proportional":[45,76,107,134],"scheduling":[47],"(PFS)":[48],"algorithm":[49],"provides":[50],"excellent":[51],"balance":[52],"between":[53],"throughput":[54,98,131],"fairness":[56,108],"via":[57],"multi-user":[58],"diversity":[59],"game-theoretic":[61],"equilibrium.":[62],"To":[63,115],"maximize":[64],"overall":[66],"utility":[67],"path,":[72],"we":[73,89],"apply":[74],"(PF)":[78],"criterion":[79],"selecting":[81],"nodes":[82],"relays":[84],"transmission.":[87],"Furthermore,":[88],"analyze":[90],"provide":[92],"an":[93,100,143],"analytical":[94],"expression":[95,126],"end-to-end":[97],"opportunistic":[101],"relaying,":[102,136],"with":[106],"constraints":[109],"over":[110],"Rayleigh":[112],"flat-fading":[113],"channel.":[114],"our":[116],"knowledge,":[117],"it":[118],"is":[119,127,142],"first":[121],"time":[122],"that":[123],"closed-form":[125],"obtained":[128],"path.":[139],"This":[140],"research":[141],"extension":[144],"previous":[146],"theoretical":[147],"work":[148],"on":[149],"PF":[150],"cellular":[152]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}