{"id":"https://openalex.org/W2129881961","doi":"https://doi.org/10.2478/cmam-2009-0015","title":"A Macro-kinetic Hybrid Model for Traffic Flow on Road Networks","display_name":"A Macro-kinetic Hybrid Model for Traffic Flow on Road Networks","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2129881961","doi":"https://doi.org/10.2478/cmam-2009-0015","mag":"2129881961"},"language":"en","primary_location":{"id":"doi:10.2478/cmam-2009-0015","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0015","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0015/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0015/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030773854","display_name":"Micha\u00ebl Herty","orcid":"https://orcid.org/0000-0002-6262-2927"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"M. Herty","raw_affiliation_strings":["1RWTH Aachen University, Mathematik, Templergraben 55, D-52065 Aachen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1RWTH Aachen University, Mathematik, Templergraben 55, D-52065 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068372125","display_name":"Salissou Moutari","orcid":"https://orcid.org/0000-0002-9723-3972"},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S. Moutari","raw_affiliation_strings":["2CenSSOR David Bates Building, Queen\u2019s University Belfast, University Road, Belfast BT7 1NN, United Kingdom","School of Mathematics and Physics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"2CenSSOR David Bates Building, Queen\u2019s University Belfast, University Road, Belfast BT7 1NN, United Kingdom","institution_ids":["https://openalex.org/I126231945"]},{"raw_affiliation_string":"School of Mathematics and Physics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030773854"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":1.5398,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.86323841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"9","issue":"3","first_page":"238","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9972000122070312,"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":0.9972000122070312,"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":0.9864000082015991,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/merge","display_name":"Merge (version control)","score":0.7383509874343872},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.604275107383728},{"id":"https://openalex.org/keywords/microscopic-traffic-flow-model","display_name":"Microscopic traffic flow model","score":0.5841259360313416},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5398805141448975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5354599952697754},{"id":"https://openalex.org/keywords/traffic-model","display_name":"Traffic model","score":0.5226725935935974},{"id":"https://openalex.org/keywords/macro","display_name":"Macro","score":0.4958687722682953},{"id":"https://openalex.org/keywords/traffic-flow","display_name":"Traffic flow (computer networking)","score":0.49064889550209045},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4284627139568329},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.42199790477752686},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36527514457702637},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29618269205093384},{"id":"https://openalex.org/keywords/traffic-generation-model","display_name":"Traffic generation model","score":0.23993059992790222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2333117425441742},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.18464761972427368}],"concepts":[{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.7383509874343872},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.604275107383728},{"id":"https://openalex.org/C205269179","wikidata":"https://www.wikidata.org/wiki/Q17144160","display_name":"Microscopic traffic flow model","level":3,"score":0.5841259360313416},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5398805141448975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5354599952697754},{"id":"https://openalex.org/C2775847900","wikidata":"https://www.wikidata.org/wiki/Q28455493","display_name":"Traffic model","level":2,"score":0.5226725935935974},{"id":"https://openalex.org/C166955791","wikidata":"https://www.wikidata.org/wiki/Q629579","display_name":"Macro","level":2,"score":0.4958687722682953},{"id":"https://openalex.org/C207512268","wikidata":"https://www.wikidata.org/wiki/Q3074551","display_name":"Traffic flow (computer networking)","level":2,"score":0.49064889550209045},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4284627139568329},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.42199790477752686},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36527514457702637},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29618269205093384},{"id":"https://openalex.org/C176715033","wikidata":"https://www.wikidata.org/wiki/Q2080768","display_name":"Traffic generation model","level":2,"score":0.23993059992790222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2333117425441742},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.18464761972427368},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2478/cmam-2009-0015","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0015","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0015/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/8847f466-8bcc-47d1-a906-e9b25198bf72","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/8847f466-8bcc-47d1-a906-e9b25198bf72","pdf_url":"https://pureadmin.qub.ac.uk/ws/files/248904309/10.2478_cmam_2009_0015.pdf","source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Herty, M & Moutari, S 2009, 'A Macro-Kinetic Hybrid Model for Traffic Flowon Road Networks', Computational Methods in Applied Mathematics, vol. 9, no. 3, pp. 238-252. https://doi.org/10.2478/cmam-2009-0015","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:publications.rwth-aachen.de:674712","is_oa":true,"landing_page_url":"http://publications.rwth-aachen.de/record/674712","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational methods in applied mathematics 9(3), 238-252 (2009). doi:10.2478/cmam-2009-0015","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.18154/rwth-conv-210997","is_oa":true,"landing_page_url":"https://doi.org/10.18154/rwth-conv-210997","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.2478/cmam-2009-0015","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0015","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0015/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6600000262260437,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G5261097129","display_name":null,"funder_award_id":"HE5386","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2129881961.pdf","grobid_xml":"https://content.openalex.org/works/W2129881961.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W84003716","https://openalex.org/W1976979298","https://openalex.org/W1978140063","https://openalex.org/W1982740300","https://openalex.org/W2004617655","https://openalex.org/W2006608049","https://openalex.org/W2012584227","https://openalex.org/W2029465969","https://openalex.org/W2030745832","https://openalex.org/W2038084122","https://openalex.org/W2047688790","https://openalex.org/W2064595840","https://openalex.org/W2075167746","https://openalex.org/W2075243426","https://openalex.org/W2288606192","https://openalex.org/W2324438375","https://openalex.org/W4205668016","https://openalex.org/W4230344429","https://openalex.org/W4255388216","https://openalex.org/W4292081050","https://openalex.org/W6600281463","https://openalex.org/W6606871635","https://openalex.org/W6607426509","https://openalex.org/W6609858251","https://openalex.org/W6776598222"],"related_works":["https://openalex.org/W4376632305","https://openalex.org/W2368210942","https://openalex.org/W2376442306","https://openalex.org/W2298887280","https://openalex.org/W2233646420","https://openalex.org/W1522909389","https://openalex.org/W2180488157","https://openalex.org/W2363678953","https://openalex.org/W2370115713","https://openalex.org/W4323647313"],"abstract_inverted_index":{"Abstract":[0],"We":[1,80],"have":[2],"developed":[3],"a":[4,15,35,59,70,116],"new":[5,62],"hybrid":[6,93],"model":[7,26,52,63,94],"for":[8,73],"an":[9],"heterogeneous":[10],"traffic":[11,45],"flow,":[12],"based":[13],"on":[14,112],"coupling":[16],"of":[17,34,43,91,108],"the":[18,28,32,40,44,50,55,65,89,92,99,106,109,113],"Lighthill":[19],"\u2014":[20],"Whitham":[21],"and":[22,27,47],"Richards":[23],"(LWR)":[24],"macroscopic":[25,41,101],"kinetic":[29,51],"model.":[30,102],"On":[31],"highways":[33],"road":[36],"network,":[37],"we":[38,87,104],"consider":[39],"description":[42],"flow":[46,114],"switch":[48],"to":[49,53],"compute":[54],"mass":[56],"flux":[57],"through":[58,115],"junction.":[60,118],"This":[61],"reproduces":[64],"capacity":[66],"drop":[67],"phenomenon":[68],"at":[69],"merge":[71],"junction,":[72],"instance,":[74],"without":[75],"imposing":[76],"any":[77],"priority":[78],"rule.":[79],"present":[81],"some":[82],"numerical":[83],"simulations":[84],"in":[85],"which":[86],"compare":[88],"results":[90],"with":[95],"those":[96],"given":[97],"by":[98],"fully":[100],"Furthermore,":[103],"illustrate":[105],"consequences":[107],"velocity":[110],"distribution":[111],"merging":[117]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
