{"id":"https://openalex.org/W3156100223","doi":"https://doi.org/10.1109/tits.2021.3069971","title":"Variable Speed Limit and Ramp Metering Control of Highway Networks Using Lax-Hopf Method: A Mixed Integer Linear Programming Approach","display_name":"Variable Speed Limit and Ramp Metering Control of Highway Networks Using Lax-Hopf Method: A Mixed Integer Linear Programming Approach","publication_year":2021,"publication_date":"2021-04-07","ids":{"openalex":"https://openalex.org/W3156100223","doi":"https://doi.org/10.1109/tits.2021.3069971","mag":"3156100223"},"language":"en","primary_location":{"id":"doi:10.1109/tits.2021.3069971","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2021.3069971","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/A5057583621","display_name":"Suyash C. Vishnoi","orcid":"https://orcid.org/0000-0002-6592-818X"},"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":true,"raw_author_name":"Suyash C. Vishnoi","raw_affiliation_strings":["Department of Civil, Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Civil, Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","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":["Department of Civil, Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Civil, Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057583621"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":0.968,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.74465792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"7","first_page":"7441","last_page":"7456"},"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":0.9997000098228455,"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":0.9941999912261963,"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/speed-limit","display_name":"Speed limit","score":0.7108233571052551},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6511532068252563},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.629995584487915},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5923633575439453},{"id":"https://openalex.org/keywords/control-variable","display_name":"Control variable","score":0.5414741635322571},{"id":"https://openalex.org/keywords/metering-mode","display_name":"Metering mode","score":0.5370634198188782},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5318460464477539},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5195636749267578},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.516897439956665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4653056263923645},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4609736502170563},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4582826495170593},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.43271195888519287},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3312910795211792},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3046894371509552},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18174493312835693},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16749387979507446},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09100958704948425}],"concepts":[{"id":"https://openalex.org/C2780210587","wikidata":"https://www.wikidata.org/wiki/Q1077350","display_name":"Speed limit","level":2,"score":0.7108233571052551},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6511532068252563},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.629995584487915},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5923633575439453},{"id":"https://openalex.org/C153240184","wikidata":"https://www.wikidata.org/wiki/Q3243772","display_name":"Control variable","level":2,"score":0.5414741635322571},{"id":"https://openalex.org/C30905978","wikidata":"https://www.wikidata.org/wiki/Q815598","display_name":"Metering mode","level":2,"score":0.5370634198188782},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5318460464477539},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5195636749267578},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.516897439956665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4653056263923645},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4609736502170563},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4582826495170593},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.43271195888519287},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3312910795211792},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3046894371509552},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18174493312835693},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16749387979507446},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09100958704948425},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tits.2021.3069971","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2021.3069971","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","display_name":"Sustainable cities and communities","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G8081156953","display_name":null,"funder_award_id":"1739964","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306108","display_name":"U.S. Department of Transportation","ror":"https://ror.org/02xfw2e90"},{"id":"https://openalex.org/F4320308144","display_name":"Texas Department of Transportation","ror":"https://ror.org/02ky21x08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W114848621","https://openalex.org/W1005022482","https://openalex.org/W1487586009","https://openalex.org/W1564639564","https://openalex.org/W1966166193","https://openalex.org/W1967804417","https://openalex.org/W1974495512","https://openalex.org/W1977985274","https://openalex.org/W1992099106","https://openalex.org/W2004617655","https://openalex.org/W2006847426","https://openalex.org/W2009485311","https://openalex.org/W2011834284","https://openalex.org/W2012988539","https://openalex.org/W2026799006","https://openalex.org/W2029188814","https://openalex.org/W2036271427","https://openalex.org/W2037141248","https://openalex.org/W2041818766","https://openalex.org/W2043530786","https://openalex.org/W2074068561","https://openalex.org/W2082047683","https://openalex.org/W2093921901","https://openalex.org/W2095797625","https://openalex.org/W2099432311","https://openalex.org/W2101383794","https://openalex.org/W2108957357","https://openalex.org/W2111838834","https://openalex.org/W2116380581","https://openalex.org/W2122723644","https://openalex.org/W2123362463","https://openalex.org/W2138836319","https://openalex.org/W2140722533","https://openalex.org/W2149464093","https://openalex.org/W2159633185","https://openalex.org/W2295793126","https://openalex.org/W2316909006","https://openalex.org/W2489012703","https://openalex.org/W2548722511","https://openalex.org/W2567867736","https://openalex.org/W2590522112","https://openalex.org/W2624924877","https://openalex.org/W2728124774","https://openalex.org/W2749408143","https://openalex.org/W2789458798","https://openalex.org/W2891819550","https://openalex.org/W2963015176","https://openalex.org/W2963440268","https://openalex.org/W2974259647","https://openalex.org/W2989932935","https://openalex.org/W3130217430","https://openalex.org/W4235147559","https://openalex.org/W4244607916","https://openalex.org/W4297805799","https://openalex.org/W6604610663","https://openalex.org/W6634783758","https://openalex.org/W6740434131","https://openalex.org/W6747922125","https://openalex.org/W6767820193"],"related_works":["https://openalex.org/W2384104878","https://openalex.org/W2360352189","https://openalex.org/W2054457760","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W2773399470","https://openalex.org/W3116484972","https://openalex.org/W2941986668","https://openalex.org/W575522836"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2,29],"a":[3,36,92,112,140],"novel":[4],"optimization":[5,46,57],"formulation":[6,145],"to":[7,52,101,111,139],"solve":[8],"the":[9,21,39,45,49,53,62,76,86,103,106,129,135,147],"problem":[10,58,130],"of":[11,44,70,105,122,125,146],"variable":[12,63,148],"speed":[13,64,149],"limit":[14,65,150],"control":[15,69,151],"on":[16,72],"road":[17],"networks":[18,74],"modeled":[19],"by":[20],"Lighthill-Whitham-Richards":[22],"(LWR)":[23],"partial":[24],"differential":[25],"equation.":[26],"It":[27],"also":[28,132],"some":[30],"mathematical":[31],"rules":[32],"that":[33],"allow":[34],"for":[35,61],"reduction":[37],"in":[38,85,128],"size":[40],"and":[41,66],"computational":[42],"time":[43],"problem.":[47,152],"Using":[48],"analytical":[50],"solutions":[51],"LWR":[54],"model,":[55],"an":[56],"is":[59,83,89,99,131,137],"formulated":[60],"ramp":[67,118],"metering":[68],"traffic":[71],"highway":[73,114],"using":[75],"Lax-Hopf":[77],"algorithm.":[78],"The":[79,120],"resulting":[80],"problem,":[81],"which":[82],"non-linear":[84],"decision":[87],"variables,":[88],"transformed":[90],"into":[91],"Mixed":[93],"Integer":[94],"Linear":[95],"Program.":[96],"An":[97],"example":[98],"presented":[100],"show":[102],"effectiveness":[104],"approach,":[107],"including":[108],"its":[109],"application":[110],"real-world":[113],"network":[115],"with":[116],"multiple":[117],"connections.":[119],"possibility":[121],"linear":[123],"relaxation":[124],"integer":[126],"variables":[127],"considered.":[133],"Lastly,":[134],"method":[136],"compared":[138],"classical":[141],"Link":[142],"Transmission":[143],"Model":[144]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}