{"id":"https://openalex.org/W2605617452","doi":"https://doi.org/10.1007/s10898-017-0520-2","title":"Optimality condition and complexity of order-value optimization problems and low order-value optimization problems","display_name":"Optimality condition and complexity of order-value optimization problems and low order-value optimization problems","publication_year":2017,"publication_date":"2017-04-10","ids":{"openalex":"https://openalex.org/W2605617452","doi":"https://doi.org/10.1007/s10898-017-0520-2","mag":"2605617452"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-017-0520-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-017-0520-2","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5070626648","display_name":"Zhongyi Jiang","orcid":"https://orcid.org/0000-0002-6329-2253"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4210153482","display_name":"Changzhou University","ror":"https://ror.org/04ymgwq66","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153482"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongyi Jiang","raw_affiliation_strings":["Department of Management Science, School of Management, Fudan University, Shanghai, 200433, People\u2019s Republic of China","School of Information Science, Changzhou University, Jiangsu, 203164, People\u2019s Republic of China","Department of Management Science, School of Management, Fudan University, Shanghai, 200433, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Management Science, School of Management, Fudan University, Shanghai, 200433, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Information Science, Changzhou University, Jiangsu, 203164, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210153482"]},{"raw_affiliation_string":"Department of Management Science, School of Management, Fudan University, Shanghai, 200433, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031079560","display_name":"Qiying Hu","orcid":"https://orcid.org/0000-0002-1313-4003"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiying Hu","raw_affiliation_strings":["Department of Management Science, School of Management, Fudan University, Shanghai, 200433, People\u2019s Republic of China","Department of Management Science, School of Management, Fudan University, Shanghai, 200433, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Management Science, School of Management, Fudan University, Shanghai, 200433, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Department of Management Science, School of Management, Fudan University, Shanghai, 200433, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022085230","display_name":"Xiaojin Zheng","orcid":"https://orcid.org/0000-0002-2835-7314"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaojin Zheng","raw_affiliation_strings":["School of Economics and Management, Tongji University, Shanghai, 200092, People\u2019s Republic of China","School of Economics and Management, Tongji University, Shanghai, 200092, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Tongji University, Shanghai, 200092, People\u2019s Republic of China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"School of Economics and Management, Tongji University, Shanghai, 200092, People's Republic of China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022085230"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.2261,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.615501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"69","issue":"2","first_page":"511","last_page":"523"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.992900013923645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.8999131917953491},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7420222759246826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7356907725334167},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6716609001159668},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.591743528842926},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5821688771247864},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5546947121620178},{"id":"https://openalex.org/keywords/continuous-optimization","display_name":"Continuous optimization","score":0.4351620674133301},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.41393932700157166},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.11886206269264221}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.8999131917953491},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7420222759246826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7356907725334167},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6716609001159668},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.591743528842926},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5821688771247864},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5546947121620178},{"id":"https://openalex.org/C92995354","wikidata":"https://www.wikidata.org/wiki/Q5165499","display_name":"Continuous optimization","level":4,"score":0.4351620674133301},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.41393932700157166},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.11886206269264221},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-017-0520-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-017-0520-2","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:69:y:2017:i:2:d:10.1007_s10898-017-0520-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-017-0520-2","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":[{"id":"https://openalex.org/G23763347","display_name":null,"funder_award_id":"11371103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6674836844","display_name":null,"funder_award_id":"11671300","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8742722032","display_name":null,"funder_award_id":"71671046","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W138202387","https://openalex.org/W1551275368","https://openalex.org/W1972197898","https://openalex.org/W1975936824","https://openalex.org/W1985736102","https://openalex.org/W2006234834","https://openalex.org/W2011039300","https://openalex.org/W2028781966","https://openalex.org/W2084002138","https://openalex.org/W2107371918","https://openalex.org/W2118941696","https://openalex.org/W2124125593","https://openalex.org/W2125725340","https://openalex.org/W2171288536","https://openalex.org/W2489822048","https://openalex.org/W2787523326","https://openalex.org/W2889977735","https://openalex.org/W4234534407","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1993702234","https://openalex.org/W2391309548","https://openalex.org/W117224218","https://openalex.org/W2766340440","https://openalex.org/W647422230","https://openalex.org/W2621777142","https://openalex.org/W4299979813","https://openalex.org/W2064437400","https://openalex.org/W2963781397","https://openalex.org/W2034550602"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
