{"id":"https://openalex.org/W2041851251","doi":"https://doi.org/10.1109/tnet.2014.2303477","title":"On Asymptotic Statistics for Geometric Routing Schemes in Wireless Ad Hoc Networks","display_name":"On Asymptotic Statistics for Geometric Routing Schemes in Wireless Ad Hoc Networks","publication_year":2014,"publication_date":"2014-02-25","ids":{"openalex":"https://openalex.org/W2041851251","doi":"https://doi.org/10.1109/tnet.2014.2303477","mag":"2041851251"},"language":"en","primary_location":{"id":"doi:10.1109/tnet.2014.2303477","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2014.2303477","pdf_url":null,"source":{"id":"https://openalex.org/S62238642","display_name":"IEEE/ACM Transactions on Networking","issn_l":"1063-6692","issn":["1063-6692","1558-2566"],"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/ACM Transactions on Networking","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/A5054149875","display_name":"Armin Banaei","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Armin Banaei","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A&M University","Department of Electrical and Computer, Engineering, Texas A&M University, College Station, TX#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A&M University","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer, Engineering, Texas A&M University, College Station, TX#TAB#","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005015150","display_name":"Daren B. H. Cline","orcid":"https://orcid.org/0000-0003-3791-0465"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daren B. H. Cline","raw_affiliation_strings":["Department of Statistics, Texas A&M University","Department of Statistics Texas A&M University College Station, tx"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Texas A&M University","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Statistics Texas A&M University College Station, tx","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007060246","display_name":"C.N. Georghiades","orcid":"https://orcid.org/0000-0001-8333-1638"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Costas N. Georghiades","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A&M University","Department of Electrical and Computer, Engineering, Texas A&M University, College Station, TX#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A&M University","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer, Engineering, Texas A&M University, College Station, TX#TAB#","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009164482","display_name":"Shuguang Cui","orcid":"https://orcid.org/0000-0003-2608-775X"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuguang Cui","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A&M University","Department of Electrical and Computer, Engineering, Texas A&M University, College Station, TX#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A&M University","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer, Engineering, Texas A&M University, College Station, TX#TAB#","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":3.2783,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.92729217,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"23","issue":"2","first_page":"559","last_page":"573"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","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/T10246","display_name":"Mobile Ad Hoc Networks","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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9973999857902527,"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/T10761","display_name":"Vehicular Ad Hoc Networks (VANETs)","score":0.9968000054359436,"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":0.6736390590667725},{"id":"https://openalex.org/keywords/equal-cost-multi-path-routing","display_name":"Equal-cost multi-path routing","score":0.6389193534851074},{"id":"https://openalex.org/keywords/destination-sequenced-distance-vector-routing","display_name":"Destination-Sequenced Distance Vector routing","score":0.6221324801445007},{"id":"https://openalex.org/keywords/static-routing","display_name":"Static routing","score":0.5237728953361511},{"id":"https://openalex.org/keywords/link-state-routing-protocol","display_name":"Link-state routing protocol","score":0.5146580338478088},{"id":"https://openalex.org/keywords/wireless-ad-hoc-network","display_name":"Wireless ad hoc network","score":0.5076929330825806},{"id":"https://openalex.org/keywords/wireless-routing-protocol","display_name":"Wireless Routing Protocol","score":0.49825549125671387},{"id":"https://openalex.org/keywords/dynamic-source-routing","display_name":"Dynamic Source Routing","score":0.482272207736969},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.4783439338207245},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.37652239203453064},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3683231472969055},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32318025827407837},{"id":"https://openalex.org/keywords/routing-protocol","display_name":"Routing protocol","score":0.26156777143478394},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.214258074760437},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10422617197036743},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08916854858398438}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6736390590667725},{"id":"https://openalex.org/C115443555","wikidata":"https://www.wikidata.org/wiki/Q5367790","display_name":"Equal-cost multi-path routing","level":5,"score":0.6389193534851074},{"id":"https://openalex.org/C29436982","wikidata":"https://www.wikidata.org/wiki/Q3700557","display_name":"Destination-Sequenced Distance Vector routing","level":5,"score":0.6221324801445007},{"id":"https://openalex.org/C204948658","wikidata":"https://www.wikidata.org/wiki/Q1119410","display_name":"Static routing","level":4,"score":0.5237728953361511},{"id":"https://openalex.org/C89305328","wikidata":"https://www.wikidata.org/wiki/Q1755411","display_name":"Link-state routing protocol","level":4,"score":0.5146580338478088},{"id":"https://openalex.org/C94523657","wikidata":"https://www.wikidata.org/wiki/Q4085781","display_name":"Wireless ad hoc network","level":3,"score":0.5076929330825806},{"id":"https://openalex.org/C47318570","wikidata":"https://www.wikidata.org/wiki/Q8026863","display_name":"Wireless Routing Protocol","level":4,"score":0.49825549125671387},{"id":"https://openalex.org/C9659607","wikidata":"https://www.wikidata.org/wiki/Q1268903","display_name":"Dynamic Source Routing","level":4,"score":0.482272207736969},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.4783439338207245},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.37652239203453064},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3683231472969055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32318025827407837},{"id":"https://openalex.org/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.26156777143478394},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.214258074760437},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10422617197036743},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08916854858398438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnet.2014.2303477","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2014.2303477","pdf_url":null,"source":{"id":"https://openalex.org/S62238642","display_name":"IEEE/ACM Transactions on Networking","issn_l":"1063-6692","issn":["1063-6692","1558-2566"],"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/ACM Transactions on Networking","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1550444125","https://openalex.org/W1976625337","https://openalex.org/W1996931690","https://openalex.org/W2008072735","https://openalex.org/W2024440951","https://openalex.org/W2033001101","https://openalex.org/W2039302875","https://openalex.org/W2052021539","https://openalex.org/W2088288129","https://openalex.org/W2099574482","https://openalex.org/W2101963262","https://openalex.org/W2104557602","https://openalex.org/W2111057502","https://openalex.org/W2113233457","https://openalex.org/W2120137201","https://openalex.org/W2122505293","https://openalex.org/W2131205845","https://openalex.org/W2136316858","https://openalex.org/W2137563374","https://openalex.org/W2137775453","https://openalex.org/W2148565706","https://openalex.org/W2149136852","https://openalex.org/W2166118367","https://openalex.org/W2169528473","https://openalex.org/W2196559987","https://openalex.org/W2796649821","https://openalex.org/W2905505698","https://openalex.org/W2950120971","https://openalex.org/W2963379505","https://openalex.org/W3015646000","https://openalex.org/W4206545993","https://openalex.org/W4302328504","https://openalex.org/W6632945411","https://openalex.org/W6675315432"],"related_works":["https://openalex.org/W2108305519","https://openalex.org/W1997091564","https://openalex.org/W3035942111","https://openalex.org/W2351097701","https://openalex.org/W2138640781","https://openalex.org/W2555559350","https://openalex.org/W2081964190","https://openalex.org/W2607223747","https://openalex.org/W1968750272","https://openalex.org/W2361465121"],"abstract_inverted_index":{"In":[0,23,108],"this":[1,76,153],"paper,":[2],"we":[3,25,110,156,194,211],"present":[4],"a":[5,43,122],"methodology":[6],"employing":[7],"statistical":[8],"analysis":[9],"and":[10,64,85,92,125,138,227],"stochastic":[11],"geometry":[12],"to":[13,80,190,206],"study":[14],"geometric":[15,45,101],"routing":[16,39,46,96,102,116,149,174,202],"schemes":[17,103],"in":[18,48,65,75,104,219],"wireless":[19,106],"ad":[20,140],"hoc":[21,141],"networks.":[22,107],"particular,":[24,109],"analyze":[26],"the":[27,34,53,58,66,70,82,86,90,95,112,115,119,127,132,144,159,165,169,178,181,185,197,201,214,230],"network-layer":[28],"performance":[29],"of":[30,69,94,114,164,180,200,229],"one":[31],"such":[32],"scheme,":[33,40],"random":[35,105,145,170],"[":[36,146,171],"1/":[37,147,172],"2]disk":[38,148,173],"which":[41,49],"is":[42],"localized":[44],"scheme":[47,175],"each":[50],"node":[51],"chooses":[52],"next":[54],"relay":[55],"randomly":[56],"among":[57],"nodes":[59],"within":[60],"its":[61],"transmission":[62],"range":[63],"general":[67],"direction":[68],"destination.":[71],"The":[72],"techniques":[73],"developed":[74],"paper":[77],"enable":[78],"us":[79],"establish":[81],"asymptotic":[83,133,216],"connectivity":[84,134],"convergence":[87],"results":[88],"for":[89,135,224],"mean":[91],"variance":[93],"path":[97,117,166,182,203],"lengths":[98],"generated":[99,167,183],"by":[100,121,168,177,184],"approximate":[111],"progress":[113],"toward":[118],"destination":[120],"Markov":[123,154],"process":[124],"determine":[126],"sufficient":[128],"conditions":[129],"that":[130,158,196,213],"ensure":[131],"both":[136],"dense":[137],"large-scale":[139],"networks":[142],"deploying":[143],"scheme.":[150],"Furthermore,":[151],"using":[152],"characterization,":[155],"show":[157,195,212],"expected":[160],"length":[161,179,204],"(hop":[162],"count)":[163],"normalized":[176],"ideal":[186],"direct-line":[187],"routing,":[188],"converges":[189,205],"3\u03c0/4":[191],"asymptotically.":[192,208],"Moreover,":[193],"variance-to-mean":[198],"ratio":[199],"9\u03c02/64-1":[207],"Through":[209],"simulation,":[210],"aforementioned":[215],"statistics":[217],"are":[218],"fact":[220],"quite":[221],"accurate":[222],"even":[223],"finite":[225],"granularity":[226],"size":[228],"network.":[231]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
