{"id":"https://openalex.org/W2005004482","doi":"https://doi.org/10.1007/s10957-011-9950-z","title":"Super Efficiency of Multicriterion Network Equilibrium Model and Vector Variational Inequality","display_name":"Super Efficiency of Multicriterion Network Equilibrium Model and Vector Variational Inequality","publication_year":2011,"publication_date":"2011-11-16","ids":{"openalex":"https://openalex.org/W2005004482","doi":"https://doi.org/10.1007/s10957-011-9950-z","mag":"2005004482"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-011-9950-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-011-9950-z","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","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/A5051287098","display_name":"Yunan Wu","orcid":"https://orcid.org/0000-0001-9387-664X"},"institutions":[{"id":"https://openalex.org/I109173049","display_name":"Beijing Foreign Studies University","ror":"https://ror.org/00jdr0662","country_code":"CN","type":"education","lineage":["https://openalex.org/I109173049"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunan Wu","raw_affiliation_strings":["School of International Business, Beijing Foreign Studies University, Beijing, 100089, China","Beijing Foreign Studies University,"],"affiliations":[{"raw_affiliation_string":"School of International Business, Beijing Foreign Studies University, Beijing, 100089, China","institution_ids":["https://openalex.org/I109173049"]},{"raw_affiliation_string":"Beijing Foreign Studies University,","institution_ids":["https://openalex.org/I109173049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033601699","display_name":"Yuchen Peng","orcid":"https://orcid.org/0000-0001-6480-4057"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuchen Peng","raw_affiliation_strings":["School of Business, Renmin University of China, Beijing, 100872, China","Renmin university of China"],"affiliations":[{"raw_affiliation_string":"School of Business, Renmin University of China, Beijing, 100872, China","institution_ids":["https://openalex.org/I78988378"]},{"raw_affiliation_string":"Renmin university of China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032990215","display_name":"Long Peng","orcid":"https://orcid.org/0000-0002-8345-6278"},"institutions":[{"id":"https://openalex.org/I109173049","display_name":"Beijing Foreign Studies University","ror":"https://ror.org/00jdr0662","country_code":"CN","type":"education","lineage":["https://openalex.org/I109173049"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Peng","raw_affiliation_strings":["School of International Business, Beijing Foreign Studies University, Beijing, 100089, China","Beijing Foreign Studies University,"],"affiliations":[{"raw_affiliation_string":"School of International Business, Beijing Foreign Studies University, Beijing, 100089, China","institution_ids":["https://openalex.org/I109173049"]},{"raw_affiliation_string":"Beijing Foreign Studies University,","institution_ids":["https://openalex.org/I109173049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003234826","display_name":"Ling Xu","orcid":"https://orcid.org/0000-0002-5040-5634"},"institutions":[{"id":"https://openalex.org/I109173049","display_name":"Beijing Foreign Studies University","ror":"https://ror.org/00jdr0662","country_code":"CN","type":"education","lineage":["https://openalex.org/I109173049"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Xu","raw_affiliation_strings":["School of International Business, Beijing Foreign Studies University, Beijing, 100089, China","Beijing Foreign Studies University,"],"affiliations":[{"raw_affiliation_string":"School of International Business, Beijing Foreign Studies University, Beijing, 100089, China","institution_ids":["https://openalex.org/I109173049"]},{"raw_affiliation_string":"Beijing Foreign Studies University,","institution_ids":["https://openalex.org/I109173049"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5051287098"],"corresponding_institution_ids":["https://openalex.org/I109173049"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3255,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.5920277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"153","issue":"2","first_page":"485","last_page":"496"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9577000141143799,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8646571636199951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7634991407394409},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6321089267730713},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5248960256576538},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5086632370948792},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45333725214004517},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4376411437988281},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4177168011665344},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13650566339492798}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8646571636199951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7634991407394409},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6321089267730713},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5248960256576538},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5086632370948792},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45333725214004517},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4376411437988281},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4177168011665344},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13650566339492798},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-011-9950-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-011-9950-z","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:153:y:2012:i:2:d:10.1007_s10957-011-9950-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-011-9950-z","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W177979029","https://openalex.org/W1551877617","https://openalex.org/W1968979467","https://openalex.org/W1997237715","https://openalex.org/W2009757988","https://openalex.org/W2012527541","https://openalex.org/W2015936756","https://openalex.org/W2021856356","https://openalex.org/W2032628969","https://openalex.org/W2074909374","https://openalex.org/W2083818478","https://openalex.org/W2085855707","https://openalex.org/W2094964517","https://openalex.org/W2153015072","https://openalex.org/W2175706438","https://openalex.org/W2314876719","https://openalex.org/W2331043976","https://openalex.org/W2609256571","https://openalex.org/W2798766386","https://openalex.org/W3145892336","https://openalex.org/W4240204904","https://openalex.org/W4248606763","https://openalex.org/W4396738453"],"related_works":["https://openalex.org/W2909053289","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W3131922696","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W2093863472","https://openalex.org/W4324027757","https://openalex.org/W2010533010","https://openalex.org/W4387635768"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
