{"id":"https://openalex.org/W1993438931","doi":"https://doi.org/10.1109/itsc.2012.6338639","title":"Exact solutions to traffic density estimation problems involving the Lighthill-Whitham-Richards traffic flow model using Mixed Integer Programming","display_name":"Exact solutions to traffic density estimation problems involving the Lighthill-Whitham-Richards traffic flow model using Mixed Integer Programming","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W1993438931","doi":"https://doi.org/10.1109/itsc.2012.6338639","mag":"1993438931"},"language":"en","primary_location":{"id":"doi:10.1109/itsc.2012.6338639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itsc.2012.6338639","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 15th International IEEE Conference on Intelligent Transportation Systems","raw_type":"proceedings-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/A5002408129","display_name":"Edward S. Canepa","orcid":"https://orcid.org/0000-0002-5779-2059"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Edward S. Canepa","raw_affiliation_strings":["Department of Electrical Engineering, King Abdullah University for Science and Technology, Saudi Arabia","Department of Electrical Engineering, King Abdullah University of Science and Technology, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, King Abdullah University for Science and Technology, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"Department of Electrical Engineering, King Abdullah University of Science and Technology, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"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/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Christian G. Claudel","raw_affiliation_strings":["Department of Electrical Engineering, King Abdullah University for Science and Technology, Saudi Arabia","Department of Electrical Engineering, King Abdullah University of Science and Technology, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, King Abdullah University for Science and Technology, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"Department of Electrical Engineering, King Abdullah University of Science and Technology, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002408129"],"corresponding_institution_ids":["https://openalex.org/I71920554"],"apc_list":null,"apc_paid":null,"fwci":5.0673,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.94839744,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"832","last_page":"839"},"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":0.9994999766349792,"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":0.9991000294685364,"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/traffic-flow","display_name":"Traffic flow (computer networking)","score":0.6667159199714661},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6545901298522949},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6261179447174072},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5989981889724731},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5580913424491882},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5230365991592407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49694159626960754},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3688218593597412},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07313600182533264}],"concepts":[{"id":"https://openalex.org/C207512268","wikidata":"https://www.wikidata.org/wiki/Q3074551","display_name":"Traffic flow (computer networking)","level":2,"score":0.6667159199714661},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6545901298522949},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6261179447174072},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5989981889724731},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5580913424491882},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5230365991592407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49694159626960754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3688218593597412},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07313600182533264},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/itsc.2012.6338639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itsc.2012.6338639","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 15th International IEEE Conference on Intelligent Transportation Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/564593","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/564593","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1487586009","https://openalex.org/W1564639564","https://openalex.org/W1972159214","https://openalex.org/W1974495512","https://openalex.org/W1992099106","https://openalex.org/W2009485311","https://openalex.org/W2029188814","https://openalex.org/W2037141248","https://openalex.org/W2043530786","https://openalex.org/W2093921901","https://openalex.org/W2095797625","https://openalex.org/W2099432311","https://openalex.org/W2111838834","https://openalex.org/W2138836319","https://openalex.org/W2149464093","https://openalex.org/W2164958491","https://openalex.org/W2169378760","https://openalex.org/W2532805786","https://openalex.org/W4239369248","https://openalex.org/W4249667877","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2052299349","https://openalex.org/W4297728441","https://openalex.org/W1901944325","https://openalex.org/W2789801754","https://openalex.org/W2187824534","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W2180469977"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"a":[3,39,81,88],"new":[4],"mixed":[5],"integer":[6],"programming":[7],"formulation":[8,29],"of":[9,30,66,91],"the":[10,19,31,45,50,64,68,71,92],"traffic":[11,78],"density":[12,69],"estimation":[13],"problem":[14,32,65],"in":[15,54],"highways":[16],"modeled":[17],"by":[18],"Lighthill":[20],"Whitham":[21],"Richards":[22],"equation.":[23,36],"We":[24,61,85],"first":[25],"present":[26,87],"an":[27,34],"equivalent":[28],"using":[33,38,94],"Hamilton-Jacobi":[35,51],"Then,":[37],"semi-analytic":[40],"formula,":[41],"we":[42],"show":[43],"that":[44],"model":[46],"constraints":[47],"resulting":[48],"from":[49],"equation":[52],"result":[53],"linear":[55],"constraints,":[56],"albeit":[57],"with":[58],"unknown":[59],"integers.":[60],"then":[62,86],"pose":[63],"estimating":[67],"at":[70],"initial":[72],"time":[73],"given":[74],"incomplete":[75],"and":[76,97],"inaccurate":[77],"data":[79,99],"as":[80],"Mixed":[82],"Integer":[83],"Program.":[84],"numerical":[89],"implementation":[90],"method":[93],"experimental":[95],"flow":[96],"probe":[98],"obtained":[100],"during":[101],"Mobile":[102],"Century":[103],"experiment.":[104]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-25T21:42:39.735039","created_date":"2025-10-10T00:00:00"}