{"id":"https://openalex.org/W2735679013","doi":"https://doi.org/10.1137/16m1074795","title":"A Convex Formulation of Traffic Dynamics on Transportation Networks","display_name":"A Convex Formulation of Traffic Dynamics on Transportation Networks","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2735679013","doi":"https://doi.org/10.1137/16m1074795","mag":"2735679013"},"language":"en","primary_location":{"id":"doi:10.1137/16m1074795","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1074795","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":["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/A5101514843","display_name":"Yanning Li","orcid":"https://orcid.org/0000-0002-9203-4114"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yanning Li","raw_affiliation_strings":["***University of Illinois at Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082935103","display_name":"Christian Claudel","orcid":"https://orcid.org/0000-0002-3783-4928"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christian G. Claudel","raw_affiliation_strings":["University of Texas at Austin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057629608","display_name":"Benedetto Piccoli","orcid":"https://orcid.org/0000-0002-6000-5394"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Benedetto Piccoli","raw_affiliation_strings":["FASC - Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FASC - Mathematics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012556136","display_name":"Daniel B. Work","orcid":"https://orcid.org/0000-0003-0565-2158"},"institutions":[{"id":"https://openalex.org/I19908199","display_name":"National Center for Supercomputing Applications","ror":"https://ror.org/03g9ch715","country_code":"BG","type":"facility","lineage":["https://openalex.org/I19908199"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Daniel B. Work","raw_affiliation_strings":["Coordinated Science Lab; National Center for Supercomputing Applications (NCSA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Lab; National Center for Supercomputing Applications (NCSA)","institution_ids":["https://openalex.org/I19908199"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1984,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50318335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"77","issue":"4","first_page":"1493","last_page":"1515"},"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":0.9994000196456909,"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/T10370","display_name":"Traffic and Road Safety","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/discretization","display_name":"Discretization","score":0.7414544820785522},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5971360206604004},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5774707198143005},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5610865950584412},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5529348254203796},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5127261877059937},{"id":"https://openalex.org/keywords/traffic-flow","display_name":"Traffic flow (computer networking)","score":0.5037245154380798},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5026986598968506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47581249475479126},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4671114683151245},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4556368887424469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44820454716682434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2689671218395233},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11834785342216492}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7414544820785522},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5971360206604004},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5774707198143005},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5610865950584412},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5529348254203796},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5127261877059937},{"id":"https://openalex.org/C207512268","wikidata":"https://www.wikidata.org/wiki/Q3074551","display_name":"Traffic flow (computer networking)","level":2,"score":0.5037245154380798},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5026986598968506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47581249475479126},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4671114683151245},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4556368887424469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44820454716682434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2689671218395233},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11834785342216492},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1074795","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1074795","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1493016630","https://openalex.org/W1511429212","https://openalex.org/W1564639564","https://openalex.org/W1969706161","https://openalex.org/W1989587650","https://openalex.org/W1992099106","https://openalex.org/W1992513717","https://openalex.org/W2009485311","https://openalex.org/W2022552551","https://openalex.org/W2027071847","https://openalex.org/W2030745832","https://openalex.org/W2032549372","https://openalex.org/W2037141248","https://openalex.org/W2043530786","https://openalex.org/W2073787051","https://openalex.org/W2075531643","https://openalex.org/W2078379409","https://openalex.org/W2085507871","https://openalex.org/W2093921901","https://openalex.org/W2095797625","https://openalex.org/W2099204669","https://openalex.org/W2099432311","https://openalex.org/W2111838834","https://openalex.org/W2135266148","https://openalex.org/W2138836319","https://openalex.org/W2149464093","https://openalex.org/W2316909006","https://openalex.org/W3102781700","https://openalex.org/W3105063264"],"related_works":["https://openalex.org/W2756132392","https://openalex.org/W3035814349","https://openalex.org/W4285101096","https://openalex.org/W4320477335","https://openalex.org/W2518949622","https://openalex.org/W2084892497","https://openalex.org/W4382725876","https://openalex.org/W2115614142","https://openalex.org/W2275184629","https://openalex.org/W1561889708"],"abstract_inverted_index":{"This":[0],"article":[1,52],"proposes":[2],"a":[3,14,18,57,68,71,95,161,175],"numerical":[4,162],"scheme":[5,152],"for":[6,135,153,178],"computing":[7],"the":[8,31,44,54,64,77,88,98,104,108,112,118,122,129,132,136,168],"evolution":[9],"of":[10,43,50,56,90,121,164],"vehicular":[11],"traffic":[12,23,65,92,180],"on":[13,25,79,94,115,139],"road":[15],"network":[16],"over":[17,70],"finite":[19,72],"time":[20,73],"horizon.":[21],"The":[22,47,124],"dynamics":[24],"each":[26],"link":[27,155],"is":[28,39,53],"modeled":[29],"by":[30],"Hamilton--Jacobi":[32],"(HJ)":[33],"partial":[34],"differential":[35],"equation":[36],"(PDE),":[37],"which":[38,62,86,142],"an":[40,149],"equivalent":[41],"form":[42],"Lighthill--Whitham--Richards":[45],"PDE.":[46,157],"main":[48],"contribution":[49],"this":[51],"construction":[55],"single":[58,154],"convex":[59,100,170],"optimization":[60,101,171],"program":[61],"computes":[63,103],"flow":[66],"at":[67,107,128],"junction":[69,109,130],"horizon":[74],"and":[75,117],"decouples":[76],"PDEs":[78],"connecting":[80,140],"links.":[81],"Compared":[82],"to":[83],"discretization":[84],"schemes":[85],"require":[87],"computation":[89],"all":[91],"states":[93],"time-space":[96],"grid,":[97],"proposed":[99,169],"approach":[102,172],"boundary":[105,119,126,133],"flows":[106,127],"using":[110,148],"only":[111],"initial":[113],"condition":[114,134],"links":[116],"conditions":[120],"network.":[123],"computed":[125],"specify":[131],"HJ":[137,156],"PDE":[138],"links,":[141],"then":[143],"can":[144],"be":[145],"separately":[146],"solved":[147],"existing":[150],"semi-explicit":[151],"As":[158],"demonstrated":[159],"in":[160],"example":[163],"ramp":[165],"metering":[166],"control,":[167],"also":[173],"provides":[174],"natural":[176],"framework":[177],"optimal":[179],"control":[181],"applications.":[182]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
