{"id":"https://openalex.org/W3011166923","doi":"https://doi.org/10.1109/cdc40024.2019.9029982","title":"The current method for stationary mean-field games on networks","display_name":"The current method for stationary mean-field games on networks","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3011166923","doi":"https://doi.org/10.1109/cdc40024.2019.9029982","mag":"3011166923"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029982","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029982","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","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/A5087528940","display_name":"Diogo A. Gomes","orcid":"https://orcid.org/0000-0002-3129-3956"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Diogo A. Gomes","raw_affiliation_strings":["Universidade Federal do Rio Grande do Sul"],"affiliations":[{"raw_affiliation_string":"Universidade Federal do Rio Grande do Sul","institution_ids":["https://openalex.org/I130442723"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006326257","display_name":"Diego Marcon","orcid":"https://orcid.org/0000-0001-6352-7705"},"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":"Diego Marcon","raw_affiliation_strings":["CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011626466","display_name":"Fatimah Al Saleh","orcid":null},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Fatimah Al Saleh","raw_affiliation_strings":["Mathematics and statistics department, King Faisal University, Hofuf, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Mathematics and statistics department, King Faisal University, Hofuf, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087528940"],"corresponding_institution_ids":["https://openalex.org/I130442723"],"apc_list":null,"apc_paid":null,"fwci":0.1681,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53755727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"305","last_page":"310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9896000027656555,"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/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9660999774932861,"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/computer-science","display_name":"Computer science","score":0.5876237750053406},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.584735095500946},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5259827971458435},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5016138553619385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47983643412590027},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4570927023887634},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.45655080676078796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29357099533081055},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.165001779794693},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13875055313110352},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13030767440795898},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11690422892570496},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.0792296826839447}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5876237750053406},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.584735095500946},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5259827971458435},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5016138553619385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47983643412590027},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4570927023887634},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.45655080676078796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29357099533081055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.165001779794693},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13875055313110352},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13030767440795898},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11690422892570496},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0792296826839447},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029982","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029982","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/662164","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/662164","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":[{"display_name":"Sustainable cities and communities","score":0.75,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3398164711","display_name":null,"funder_award_id":"OSR-CRG2017-3452","funder_id":"https://openalex.org/F4320322320","funder_display_name":"King Abdullah University of Science and Technology"},{"id":"https://openalex.org/G7208857166","display_name":null,"funder_award_id":"CRG2017","funder_id":"https://openalex.org/F4320322320","funder_display_name":"King Abdullah University of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320322320","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38"},{"id":"https://openalex.org/F4320331156","display_name":"King Faisal University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1983321045","https://openalex.org/W1996920238","https://openalex.org/W1997500459","https://openalex.org/W2011000015","https://openalex.org/W2015601188","https://openalex.org/W2038686546","https://openalex.org/W2067877139","https://openalex.org/W2071623514","https://openalex.org/W2117048469","https://openalex.org/W2146217960","https://openalex.org/W2235269566","https://openalex.org/W2327277419","https://openalex.org/W2518857042","https://openalex.org/W2528746127","https://openalex.org/W2557843815","https://openalex.org/W2560739259","https://openalex.org/W2568458899","https://openalex.org/W2592338205","https://openalex.org/W2962713568","https://openalex.org/W2962907708","https://openalex.org/W2963576639","https://openalex.org/W2963767197","https://openalex.org/W2963771406","https://openalex.org/W2963976520","https://openalex.org/W2964005176","https://openalex.org/W2964245621","https://openalex.org/W3085521096","https://openalex.org/W3098004987","https://openalex.org/W3102899108","https://openalex.org/W6730799855","https://openalex.org/W6759723886"],"related_works":["https://openalex.org/W1982412832","https://openalex.org/W4244464241","https://openalex.org/W2384573129","https://openalex.org/W2351224547","https://openalex.org/W2358945257","https://openalex.org/W4318692582","https://openalex.org/W4368618351","https://openalex.org/W2006863447","https://openalex.org/W2299124854","https://openalex.org/W1660098141"],"abstract_inverted_index":{"We":[0],"discuss":[1],"first-order":[2,24],"stationary":[3],"mean-field":[4],"games":[5],"(MFG)":[6],"on":[7,26],"networks.":[8],"These":[9],"models":[10],"arise":[11],"in":[12],"traffic":[13],"and":[14,36,58],"pedestrian":[15],"flows.":[16],"First,":[17],"we":[18,48,64],"address":[19],"the":[20,32,40,45,50],"mathematical":[21],"formulation":[22],"of":[23,55],"MFG":[25,51],"networks,":[27],"including":[28],"junction":[29],"conditions":[30,38],"for":[31,39],"Hamilton-Jacobi":[33],"(HJ)":[34],"equation":[35],"transmission":[37],"transport":[41],"equation.":[42],"Then,":[43],"using":[44],"current":[46],"method,":[47],"convert":[49],"into":[52],"a":[53],"system":[54,70],"algebraic":[56],"equations":[57],"inequalities.":[59],"For":[60],"critical":[61],"congestion":[62],"models,":[63],"show":[65],"how":[66],"to":[67],"solve":[68],"this":[69],"by":[71],"linear":[72],"programming.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-15T09:29:46.208133","created_date":"2025-10-10T00:00:00"}