{"id":"https://openalex.org/W2806161963","doi":"https://doi.org/10.1109/tits.2018.2837011","title":"A Similitude Theory for Modeling Traffic Flow Dynamics","display_name":"A Similitude Theory for Modeling Traffic Flow Dynamics","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2806161963","doi":"https://doi.org/10.1109/tits.2018.2837011","mag":"2806161963"},"language":"en","primary_location":{"id":"doi:10.1109/tits.2018.2837011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2018.2837011","pdf_url":null,"source":{"id":"https://openalex.org/S144771191","display_name":"IEEE Transactions on Intelligent Transportation Systems","issn_l":"1524-9050","issn":["1524-9050","1558-0016"],"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 Intelligent Transportation Systems","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/A5049787333","display_name":"Xuan Di","orcid":"https://orcid.org/0000-0003-2925-7697"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xuan Di","raw_affiliation_strings":["Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101421309","display_name":"Yan Zhao","orcid":"https://orcid.org/0000-0002-5246-059X"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yan Zhao","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0002-5246-059X","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039749758","display_name":"Shihong Huang","orcid":"https://orcid.org/0000-0002-5583-7655"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shihong Huang","raw_affiliation_strings":["Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0002-5583-7655","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083695605","display_name":"Henry X. Liu","orcid":"https://orcid.org/0000-0002-3685-9920"},"institutions":[{"id":"https://openalex.org/I1311636904","display_name":"Michigan Department of Transportation","ror":"https://ror.org/01kae7563","country_code":"US","type":"government","lineage":["https://openalex.org/I1311636904"]},{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Henry X. Liu","raw_affiliation_strings":["Department of Civil and Environmental Engineering, University of Michigan Transportation Research Institute, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0002-3685-9920","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, University of Michigan Transportation Research Institute, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I1311636904","https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5049787333"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":1.1235,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78708915,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"3","first_page":"900","last_page":"911"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10524","display_name":"Traffic control and management","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10698","display_name":"Transportation Planning and Optimization","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11344","display_name":"Traffic Prediction and Management Techniques","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/similitude","display_name":"Similitude","score":0.7831202745437622},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5024147033691406},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4787863492965698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47044509649276733},{"id":"https://openalex.org/keywords/traffic-flow","display_name":"Traffic flow (computer networking)","score":0.4290359318256378},{"id":"https://openalex.org/keywords/vehicle-dynamics","display_name":"Vehicle dynamics","score":0.42401179671287537},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3570927381515503},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3236842155456543},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.32193928956985474},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.26228177547454834},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.21718409657478333},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19431915879249573},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19079908728599548},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.10374611616134644}],"concepts":[{"id":"https://openalex.org/C143271835","wikidata":"https://www.wikidata.org/wiki/Q254515","display_name":"Similitude","level":2,"score":0.7831202745437622},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5024147033691406},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4787863492965698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47044509649276733},{"id":"https://openalex.org/C207512268","wikidata":"https://www.wikidata.org/wiki/Q3074551","display_name":"Traffic flow (computer networking)","level":2,"score":0.4290359318256378},{"id":"https://openalex.org/C79487989","wikidata":"https://www.wikidata.org/wiki/Q934680","display_name":"Vehicle dynamics","level":2,"score":0.42401179671287537},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3570927381515503},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3236842155456543},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.32193928956985474},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.26228177547454834},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.21718409657478333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19431915879249573},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19079908728599548},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.10374611616134644},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tits.2018.2837011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2018.2837011","pdf_url":null,"source":{"id":"https://openalex.org/S144771191","display_name":"IEEE Transactions on Intelligent Transportation Systems","issn_l":"1524-9050","issn":["1524-9050","1558-0016"],"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 Intelligent Transportation Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7099999785423279,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W209374755","https://openalex.org/W429637427","https://openalex.org/W1533788422","https://openalex.org/W1569612973","https://openalex.org/W1592568942","https://openalex.org/W1968719911","https://openalex.org/W1977260306","https://openalex.org/W1977522187","https://openalex.org/W1978159541","https://openalex.org/W1979690402","https://openalex.org/W1987980113","https://openalex.org/W1991256353","https://openalex.org/W1997433991","https://openalex.org/W1999218779","https://openalex.org/W2007718857","https://openalex.org/W2008102069","https://openalex.org/W2008115886","https://openalex.org/W2028996974","https://openalex.org/W2029030701","https://openalex.org/W2053924531","https://openalex.org/W2054967204","https://openalex.org/W2076378868","https://openalex.org/W2084952317","https://openalex.org/W2089080831","https://openalex.org/W2094039233","https://openalex.org/W2100426031","https://openalex.org/W2101322955","https://openalex.org/W2103750515","https://openalex.org/W2124128468","https://openalex.org/W2124723444","https://openalex.org/W2129918168","https://openalex.org/W2130011848","https://openalex.org/W2144713380","https://openalex.org/W2154220876","https://openalex.org/W2160180167","https://openalex.org/W2170086005","https://openalex.org/W2170856593","https://openalex.org/W2171726282","https://openalex.org/W2605543710","https://openalex.org/W6647302859"],"related_works":["https://openalex.org/W2323025356","https://openalex.org/W2342977227","https://openalex.org/W3033216323","https://openalex.org/W4376875328","https://openalex.org/W2923210090","https://openalex.org/W3014594398","https://openalex.org/W1931336049","https://openalex.org/W2129918168","https://openalex.org/W2062829680","https://openalex.org/W2516638161"],"abstract_inverted_index":{"Similitude":[0],"theory,":[1,52],"particularly":[2],"dimension":[3,38],"analysis,":[4],"is":[5,15,27,40,58,119],"a":[6,53,66,70,78,85,140],"common":[7],"tool":[8],"for":[9,148],"testing":[10],"scaled-down":[11,149],"engineering":[12,23],"models":[13],"and":[14,21,74,143,151],"widely":[16],"used":[17,134],"in":[18,30,90,122],"vehicle":[19,153],"dynamics":[20,138],"other":[22,83],"fields.":[24],"However,":[25],"it":[26],"barely":[28],"employed":[29],"scaling":[31],"traffic":[32,87,116,137],"flow":[33],"dynamics.":[34,45],"In":[35,82],"this":[36,129],"paper,":[37],"analysis":[39],"adopted":[41],"to":[42,135,139],"scale":[43],"car-following":[44],"Under":[46],"the":[47,50,103,112,123,126,146],"guidance":[48],"of":[49,80,114,128],"similitude":[51,92],"scaled":[54],"downvehicle":[55],"test":[56,93,109,130],"bed":[57,94,110,131],"built":[59],"where":[60],"seven":[61],"cars":[62],"are":[63],"running":[64],"on":[65],"circular":[67],"track":[68],"at":[69],"maximum":[71],"speed":[72],"initially":[73],"congestion":[75],"emerges":[76],"after":[77],"period":[79],"time.":[81],"words,":[84],"phantom":[86],"jam":[88],"appears":[89],"our":[91,108],"without":[95],"any":[96],"bottlenecks.":[97],"The":[98],"fundamental":[99],"diagrams":[100],"drawn":[101],"from":[102],"experimental":[104],"results":[105],"show":[106],"that":[107,118],"has":[111],"capability":[113],"generating":[115],"hysteresis":[117],"commonly":[120],"observed":[121],"field.":[124],"Therefore,":[125],"design":[127],"can":[132],"be":[133],"simulate":[136],"certain":[141],"degree":[142],"will":[144],"pave":[145],"way":[147],"connected":[150],"automated":[152],"systems":[154],"development.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}