{"id":"https://openalex.org/W2054894768","doi":"https://doi.org/10.1137/120897110","title":"A Fully-Discrete-State Kinetic Theory Approach to Modeling Vehicular Traffic","display_name":"A Fully-Discrete-State Kinetic Theory Approach to Modeling Vehicular Traffic","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2054894768","doi":"https://doi.org/10.1137/120897110","mag":"2054894768"},"language":"en","primary_location":{"id":"doi:10.1137/120897110","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120897110","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1210.7988","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070818589","display_name":"Luisa Fermo","orcid":"https://orcid.org/0000-0002-4398-8990"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Luisa Fermo","raw_affiliation_strings":["Department of Mathematics and Computer Science University of Cagliari Viale Merello 92, 09123 Cagliari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science University of Cagliari Viale Merello 92, 09123 Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041447109","display_name":"Andrea Tosin","orcid":"https://orcid.org/0000-0003-4955-1818"},"institutions":[{"id":"https://openalex.org/I4210106125","display_name":"Istituto per le Applicazioni del Calcolo Mauro Picone","ror":"https://ror.org/00ygy3d85","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Tosin","raw_affiliation_strings":["Istituto per le Applicazioni del Calcolo \"M. Picone\" Consiglio Nazionale delle Ricerche Via dei Taurini 19, 00185 Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto per le Applicazioni del Calcolo \"M. Picone\" Consiglio Nazionale delle Ricerche Via dei Taurini 19, 00185 Rome, Italy","institution_ids":["https://openalex.org/I4210106125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070818589"],"corresponding_institution_ids":["https://openalex.org/I172446870"],"apc_list":null,"apc_paid":null,"fwci":13.7386,"has_fulltext":true,"cited_by_count":57,"citation_normalized_percentile":{"value":0.98863407,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"73","issue":"4","first_page":"1533","last_page":"1556"},"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":0.9984999895095825,"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/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/granularity","display_name":"Granularity","score":0.7978436946868896},{"id":"https://openalex.org/keywords/microscopic-traffic-flow-model","display_name":"Microscopic traffic flow model","score":0.6638890504837036},{"id":"https://openalex.org/keywords/three-phase-traffic-theory","display_name":"Three-phase traffic theory","score":0.59574294090271},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5870944261550903},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.5435696244239807},{"id":"https://openalex.org/keywords/traffic-flow","display_name":"Traffic flow (computer networking)","score":0.5303913950920105},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.5108208656311035},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5106795430183411},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.47420504689216614},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.468000590801239},{"id":"https://openalex.org/keywords/mathematical-model","display_name":"Mathematical model","score":0.4451776146888733},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33226364850997925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3019770383834839},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2790711522102356},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22552737593650818},{"id":"https://openalex.org/keywords/traffic-congestion-reconstruction-with-kerners-three-phase-theory","display_name":"Traffic congestion reconstruction with Kerner's three-phase theory","score":0.18913450837135315},{"id":"https://openalex.org/keywords/traffic-generation-model","display_name":"Traffic generation model","score":0.1656450629234314},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14171850681304932},{"id":"https://openalex.org/keywords/traffic-congestion","display_name":"Traffic congestion","score":0.11814579367637634},{"id":"https://openalex.org/keywords/transport-engineering","display_name":"Transport engineering","score":0.09502023458480835}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.7978436946868896},{"id":"https://openalex.org/C205269179","wikidata":"https://www.wikidata.org/wiki/Q17144160","display_name":"Microscopic traffic flow model","level":3,"score":0.6638890504837036},{"id":"https://openalex.org/C21810127","wikidata":"https://www.wikidata.org/wiki/Q583342","display_name":"Three-phase traffic theory","level":4,"score":0.59574294090271},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5870944261550903},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5435696244239807},{"id":"https://openalex.org/C207512268","wikidata":"https://www.wikidata.org/wiki/Q3074551","display_name":"Traffic flow (computer networking)","level":2,"score":0.5303913950920105},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.5108208656311035},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5106795430183411},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.47420504689216614},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.468000590801239},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.4451776146888733},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33226364850997925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3019770383834839},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2790711522102356},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22552737593650818},{"id":"https://openalex.org/C25492975","wikidata":"https://www.wikidata.org/wiki/Q960570","display_name":"Traffic congestion reconstruction with Kerner's three-phase theory","level":3,"score":0.18913450837135315},{"id":"https://openalex.org/C176715033","wikidata":"https://www.wikidata.org/wiki/Q2080768","display_name":"Traffic generation model","level":2,"score":0.1656450629234314},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14171850681304932},{"id":"https://openalex.org/C2779888511","wikidata":"https://www.wikidata.org/wiki/Q244156","display_name":"Traffic congestion","level":2,"score":0.11814579367637634},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.09502023458480835},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/120897110","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120897110","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1210.7988","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.7988","pdf_url":"https://arxiv.org/pdf/1210.7988","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:iris.unica.it:11584/122761","is_oa":true,"landing_page_url":"http://epubs.siam.org/doi/pdf/10.1137/120897110","pdf_url":"http://hdl.handle.net/11584/122761","source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:porto.polito.it:2623628","is_oa":false,"landing_page_url":"http://porto.polito.it/2623628/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0036-1399","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1210.7988","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.7988","pdf_url":"https://arxiv.org/pdf/1210.7988","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.75,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1533788422","https://openalex.org/W1996920238","https://openalex.org/W1999251566","https://openalex.org/W2004560771","https://openalex.org/W2029465969","https://openalex.org/W2037141248","https://openalex.org/W2039825028","https://openalex.org/W2049176600","https://openalex.org/W2071956177","https://openalex.org/W2075958158","https://openalex.org/W2077197253","https://openalex.org/W2090596467","https://openalex.org/W2093921901","https://openalex.org/W2095797625","https://openalex.org/W2118045096","https://openalex.org/W2124298315","https://openalex.org/W2162241973","https://openalex.org/W2163547219","https://openalex.org/W2263695121","https://openalex.org/W4298373009"],"related_works":["https://openalex.org/W2036604929","https://openalex.org/W2173981520","https://openalex.org/W2247239918","https://openalex.org/W4249465126","https://openalex.org/W1491875809","https://openalex.org/W2126403470","https://openalex.org/W653137401","https://openalex.org/W2910835171","https://openalex.org/W2796990179","https://openalex.org/W1906120563"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,81,116],"new":[4],"mathematical":[5,77],"model":[6,88],"of":[7,14,23,29,43,64,68,74,105,131],"vehicular":[8],"traffic,":[9],"based":[10],"on":[11],"the":[12,15,21,30,37,56,65,72,75,86,132],"methods":[13],"generalized":[16],"kinetic":[17,41],"theory,":[18],"in":[19,36],"which":[20],"space":[22],"microscopic":[24],"states":[25],"(position":[26],"and":[27,94],"speed)":[28],"vehicles":[31],"is":[32,121],"genuinely":[33],"discrete.":[34],"While":[35],"recent":[38],"literature":[39],"discrete-velocity":[40],"models":[42],"car":[44,69],"traffic":[45,103,117],"have":[46],"already":[47],"been":[48],"successfully":[49],"proposed,":[50],"this":[51],"is,":[52],"to":[53,59,80,91,101,112,115],"our":[54],"knowledge,":[55],"first":[57],"attempt":[58],"account":[60],"for":[61],"all":[62],"aspects":[63],"physical":[66],"granularity":[67],"flow":[70],"within":[71],"formalism":[73],"aforesaid":[76],"theory.":[78],"Thanks":[79],"rich":[82],"but":[83],"handy":[84],"structure,":[85],"resulting":[87],"allows":[89],"one":[90],"easily":[92],"implement":[93],"simulate":[95],"various":[96],"realistic":[97],"scenarios":[98],"giving":[99],"rise":[100],"characteristic":[102],"phenomena":[104],"practical":[106],"interest":[107],"(e.g.,":[108],"queue":[109],"formation":[110],"due":[111],"roadwork":[113],"or":[114],"light).":[118],"Moreover,":[119],"it":[120],"analytically":[122],"tractable":[123],"under":[124],"quite":[125],"general":[126],"assumptions,":[127],"whereby":[128],"fundamental":[129],"properties":[130],"solutions":[133],"can":[134],"be":[135],"rigorously":[136],"proved.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":15},{"year":2013,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
