{"id":"https://openalex.org/W2043633463","doi":"https://doi.org/10.1016/j.amc.2010.08.035","title":"Solving the bicriteria traffic equilibrium problem with variable demand and nonlinear path costs","display_name":"Solving the bicriteria traffic equilibrium problem with variable demand and nonlinear path costs","publication_year":2010,"publication_date":"2010-08-19","ids":{"openalex":"https://openalex.org/W2043633463","doi":"https://doi.org/10.1016/j.amc.2010.08.035","mag":"2043633463"},"language":"en","primary_location":{"id":"doi:10.1016/j.amc.2010.08.035","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2010.08.035","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5087171054","display_name":"Anthony Chen","orcid":"https://orcid.org/0000-0003-4363-5041"},"institutions":[{"id":"https://openalex.org/I121980950","display_name":"Utah State University","ror":"https://ror.org/00h6set76","country_code":"US","type":"education","lineage":["https://openalex.org/I121980950"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anthony Chen","raw_affiliation_strings":["Utah State University"],"affiliations":[{"raw_affiliation_string":"Utah State University","institution_ids":["https://openalex.org/I121980950"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047291051","display_name":"Jun-Seok Oh","orcid":"https://orcid.org/0000-0003-3511-0640"},"institutions":[{"id":"https://openalex.org/I141649380","display_name":"Western Michigan University","ror":"https://ror.org/04j198w64","country_code":"US","type":"education","lineage":["https://openalex.org/I141649380"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jun-Seok Oh","raw_affiliation_strings":["Department of Civil and Construction Engineering, Western Michigan University, Kalamazoo, MI, 49008-5316, USA"],"affiliations":[{"raw_affiliation_string":"Department of Civil and Construction Engineering, Western Michigan University, Kalamazoo, MI, 49008-5316, USA","institution_ids":["https://openalex.org/I141649380"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101707393","display_name":"Dongjoo Park","orcid":"https://orcid.org/0000-0002-6330-4437"},"institutions":[{"id":"https://openalex.org/I124633538","display_name":"University of Seoul","ror":"https://ror.org/05en5nh73","country_code":"KR","type":"education","lineage":["https://openalex.org/I124633538"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Dongjoo Park","raw_affiliation_strings":["University of Seoul,"],"affiliations":[{"raw_affiliation_string":"University of Seoul,","institution_ids":["https://openalex.org/I124633538"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110266462","display_name":"Will Recker","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Will Recker","raw_affiliation_strings":["University of California, at Irvine#TAB#"],"affiliations":[{"raw_affiliation_string":"University of California, at Irvine#TAB#","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087171054"],"corresponding_institution_ids":["https://openalex.org/I121980950"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":6.2668,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.95823175,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"217","issue":"7","first_page":"3020","last_page":"3031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":1.0,"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":1.0,"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10524","display_name":"Traffic control and management","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-complementarity-problem","display_name":"Nonlinear complementarity problem","score":0.8338073492050171},{"id":"https://openalex.org/keywords/mixed-complementarity-problem","display_name":"Mixed complementarity problem","score":0.7082198262214661},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6920017004013062},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5826842188835144},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5573009252548218},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5149653553962708},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.45821613073349},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4559687674045563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4028751850128174}],"concepts":[{"id":"https://openalex.org/C2778646529","wikidata":"https://www.wikidata.org/wiki/Q16948724","display_name":"Nonlinear complementarity problem","level":4,"score":0.8338073492050171},{"id":"https://openalex.org/C77196050","wikidata":"https://www.wikidata.org/wiki/Q6883962","display_name":"Mixed complementarity problem","level":3,"score":0.7082198262214661},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6920017004013062},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5826842188835144},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5573009252548218},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5149653553962708},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.45821613073349},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4559687674045563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4028751850128174},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.amc.2010.08.035","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2010.08.035","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8455107943","display_name":null,"funder_award_id":"CMS-0134161","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8604713928","display_name":null,"funder_award_id":"NRF-314-2008-1-D00508","funder_id":"https://openalex.org/F4320322349","funder_display_name":"Ministry of Education, Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322349","display_name":"Ministry of Education, Science and Technology","ror":"https://ror.org/01p262204"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W4471159","https://openalex.org/W119169328","https://openalex.org/W632573917","https://openalex.org/W1491440459","https://openalex.org/W1519983590","https://openalex.org/W1542473770","https://openalex.org/W1551877617","https://openalex.org/W1966251519","https://openalex.org/W1974974058","https://openalex.org/W1987290518","https://openalex.org/W1989072615","https://openalex.org/W2003242535","https://openalex.org/W2003912133","https://openalex.org/W2010778677","https://openalex.org/W2022773597","https://openalex.org/W2029513702","https://openalex.org/W2036930530","https://openalex.org/W2053871649","https://openalex.org/W2054946373","https://openalex.org/W2061750102","https://openalex.org/W2063471227","https://openalex.org/W2071609006","https://openalex.org/W2075545826","https://openalex.org/W2087064588","https://openalex.org/W2131552833","https://openalex.org/W2168405789","https://openalex.org/W2168761942","https://openalex.org/W2175706438","https://openalex.org/W2177295793","https://openalex.org/W2243889749","https://openalex.org/W3142300713","https://openalex.org/W4211142825","https://openalex.org/W4252789312","https://openalex.org/W4298358184","https://openalex.org/W6604902140","https://openalex.org/W6631077220"],"related_works":["https://openalex.org/W2085004531","https://openalex.org/W2384374169","https://openalex.org/W4294529879","https://openalex.org/W2376754743","https://openalex.org/W2351774575","https://openalex.org/W1553741403","https://openalex.org/W2128234186","https://openalex.org/W564691918","https://openalex.org/W157775922","https://openalex.org/W2011175430"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}