{"id":"https://openalex.org/W4226216894","doi":"https://doi.org/10.1109/tits.2022.3163369","title":"A Distributed Gradient Approach for System Optimal Dynamic Traffic Assignment","display_name":"A Distributed Gradient Approach for System Optimal Dynamic Traffic Assignment","publication_year":2022,"publication_date":"2022-04-20","ids":{"openalex":"https://openalex.org/W4226216894","doi":"https://doi.org/10.1109/tits.2022.3163369"},"language":"en","primary_location":{"id":"doi:10.1109/tits.2022.3163369","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2022.3163369","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/A5064176682","display_name":"Mehrzad Mehrabipour","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehrzad Mehrabipour","raw_affiliation_strings":["Department of Civil, Construction, and Environmental Engineering, North Carolina State University, Raleigh, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil, Construction, and Environmental Engineering, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086598856","display_name":"Ali Hajbabaie","orcid":"https://orcid.org/0000-0001-6757-1981"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ali Hajbabaie","raw_affiliation_strings":["Department of Civil, Construction, and Environmental Engineering, North Carolina State University, Raleigh, NC, USA"],"raw_orcid":"https://orcid.org/0000-0001-6757-1981","affiliations":[{"raw_affiliation_string":"Department of Civil, Construction, and Environmental Engineering, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":1.5454,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83671739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"23","issue":"10","first_page":"17410","last_page":"17424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9998999834060669,"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/T10524","display_name":"Traffic control and management","score":0.9998000264167786,"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/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9944000244140625,"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/intersection","display_name":"Intersection (aeronautics)","score":0.7427418231964111},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6879281401634216},{"id":"https://openalex.org/keywords/cell-transmission-model","display_name":"Cell Transmission Model","score":0.5715652704238892},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49667221307754517},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.4611212909221649},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44957929849624634},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.42276132106781006},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33901339769363403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33044081926345825},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1958020031452179}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7427418231964111},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6879281401634216},{"id":"https://openalex.org/C139417690","wikidata":"https://www.wikidata.org/wiki/Q5058168","display_name":"Cell Transmission Model","level":3,"score":0.5715652704238892},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49667221307754517},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.4611212909221649},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44957929849624634},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.42276132106781006},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33901339769363403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33044081926345825},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1958020031452179},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tits.2022.3163369","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2022.3163369","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":[{"display_name":"Peace, Justice and strong institutions","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W1541157229","https://openalex.org/W1570089739","https://openalex.org/W1681180876","https://openalex.org/W1921195525","https://openalex.org/W1967258332","https://openalex.org/W1976179273","https://openalex.org/W1977195750","https://openalex.org/W1977545325","https://openalex.org/W1986320533","https://openalex.org/W2008971185","https://openalex.org/W2025565923","https://openalex.org/W2025575464","https://openalex.org/W2027796588","https://openalex.org/W2032549372","https://openalex.org/W2037141248","https://openalex.org/W2037783201","https://openalex.org/W2042121490","https://openalex.org/W2043898235","https://openalex.org/W2050350547","https://openalex.org/W2083082693","https://openalex.org/W2087040005","https://openalex.org/W2092941378","https://openalex.org/W2104081060","https://openalex.org/W2109970251","https://openalex.org/W2111287923","https://openalex.org/W2120646221","https://openalex.org/W2132901774","https://openalex.org/W2144476187","https://openalex.org/W2167039280","https://openalex.org/W2168405789","https://openalex.org/W2182173516","https://openalex.org/W2207546129","https://openalex.org/W2287548331","https://openalex.org/W2588038380","https://openalex.org/W2613083216","https://openalex.org/W2616273432","https://openalex.org/W2713016753","https://openalex.org/W2756634329","https://openalex.org/W2809453916","https://openalex.org/W2883409662","https://openalex.org/W2883580377","https://openalex.org/W2894712539","https://openalex.org/W2908568365","https://openalex.org/W2913512536","https://openalex.org/W2913682358","https://openalex.org/W2937241526","https://openalex.org/W2942618255","https://openalex.org/W2946934061","https://openalex.org/W2947112518","https://openalex.org/W3010700636","https://openalex.org/W3033103407","https://openalex.org/W3033171882","https://openalex.org/W3037069710","https://openalex.org/W3094482447","https://openalex.org/W3129357966","https://openalex.org/W3165407953","https://openalex.org/W3190345892","https://openalex.org/W4240043465","https://openalex.org/W6686049324","https://openalex.org/W6696129573","https://openalex.org/W6795963382","https://openalex.org/W6960540450"],"related_works":["https://openalex.org/W2146455328","https://openalex.org/W2369004864","https://openalex.org/W2127301788","https://openalex.org/W4226139759","https://openalex.org/W3113872603","https://openalex.org/W2384239633","https://openalex.org/W4243061459","https://openalex.org/W2802202720","https://openalex.org/W3127230321","https://openalex.org/W1703055282"],"abstract_inverted_index":{"This":[0],"study":[1,128],"presents":[2],"a":[3,49,84,116,126,140],"distributed":[4],"gradient-based":[5],"approach":[6],"to":[7,47,87],"solve":[8],"system":[9],"optimal":[10,31],"dynamic":[11],"traffic":[12],"assignment":[13],"(SODTA)":[14],"formulated":[15],"based":[16],"on":[17,51,125],"the":[18,52,93,99,103],"cell":[19],"transmission":[20],"model.":[21],"The":[22,105,121],"algorithm":[23,106,122],"distributes":[24],"SODTA":[25],"into":[26,74],"local":[27],"sub-problems,":[28],"who":[29],"find":[30],"values":[32,53,62,78,95],"for":[33,63],"their":[34],"decision":[35,56,65],"variables":[36,66],"within":[37],"an":[38],"intersection.":[39],"Each":[40],"sub-problem":[41,59],"communicates":[42],"with":[43,115,137],"its":[44,75,89],"immediate":[45],"neighbors":[46],"reach":[48],"consensus":[50],"of":[54,102,119],"common":[55,64],"variables.":[57],"A":[58],"receives":[60],"proposed":[61],"from":[67],"all":[68,112],"adjacent":[69],"sub-problems":[70],"and":[71,82,134],"incorporates":[72],"them":[73],"own":[76],"offered":[77],"by":[79],"weighted":[80],"averaging":[81],"enforcing":[83],"gradient":[85],"step":[86],"minimize":[88],"objective":[90],"function.":[91],"Then,":[92],"updated":[94],"are":[96],"projected":[97],"onto":[98],"feasible":[100],"region":[101],"sub-problems.":[104],"finds":[107,135],"high":[108],"quality":[109],"solutions":[110,136],"in":[111],"tested":[113,124],"scenarios":[114],"finite":[117],"number":[118],"iterations.":[120],"is":[123],"case":[127],"network":[129],"under":[130],"different":[131],"demand":[132],"levels":[133],"at":[138],"most":[139],"5%":[141],"optimality":[142],"gap.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}