{"id":"https://openalex.org/W2793424057","doi":"https://doi.org/10.1007/s10479-018-2791-5","title":"Enumeration algorithms for FDH directional distance functions under different returns to scale assumptions","display_name":"Enumeration algorithms for FDH directional distance functions under different returns to scale assumptions","publication_year":2018,"publication_date":"2018-02-13","ids":{"openalex":"https://openalex.org/W2793424057","doi":"https://doi.org/10.1007/s10479-018-2791-5","mag":"2793424057"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-018-2791-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-018-2791-5","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/614131","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007864896","display_name":"Kristiaan Kerstens","orcid":"https://orcid.org/0000-0003-3358-4332"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I181827316","display_name":"Universit\u00e9 Catholique de Lille","ror":"https://ror.org/025s1b152","country_code":"FR","type":"education","lineage":["https://openalex.org/I181827316"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210148300","display_name":"Institut d'Economie Scientifique Et de Gestion","ror":"https://ror.org/04jqeag92","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210148300"]},{"id":"https://openalex.org/I4210159017","display_name":"Lille \u00c9conomie Management","ror":"https://ror.org/05bz47575","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I181827316","https://openalex.org/I2279609970","https://openalex.org/I4210150854","https://openalex.org/I4210159017","https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Kristiaan Kerstens","raw_affiliation_strings":["CNRS-LEM (UMR 9221), IESEG School of Management, 3 rue de la Digue, 59000, Lille, France","Department of Economics (Lille - France)","LEM - Lille \u00e9conomie management - UMR 9221 (Universit\u00e9 de Lille, Site Cit\u00e9 Scientifique B\u00e2timent SH2 - 59655 Villeneuve D'Ascq - France)"],"raw_orcid":"https://orcid.org/0000-0003-3358-4332","affiliations":[{"raw_affiliation_string":"CNRS-LEM (UMR 9221), IESEG School of Management, 3 rue de la Digue, 59000, Lille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I181827316","https://openalex.org/I4210148300"]},{"raw_affiliation_string":"Department of Economics (Lille - France)","institution_ids":["https://openalex.org/I4210159017"]},{"raw_affiliation_string":"LEM - Lille \u00e9conomie management - UMR 9221 (Universit\u00e9 de Lille, Site Cit\u00e9 Scientifique B\u00e2timent SH2 - 59655 Villeneuve D'Ascq - France)","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210159017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072963720","display_name":"Ignace Van de Woestyne","orcid":"https://orcid.org/0000-0002-4584-2784"},"institutions":[{"id":"https://openalex.org/I4210112645","display_name":"Leefmilieu Brussel","ror":"https://ror.org/02dprkj51","country_code":"BE","type":"other","lineage":["https://openalex.org/I4210112645"]},{"id":"https://openalex.org/I4210159017","display_name":"Lille \u00c9conomie Management","ror":"https://ror.org/05bz47575","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I181827316","https://openalex.org/I2279609970","https://openalex.org/I4210150854","https://openalex.org/I4210159017","https://openalex.org/I44563897"]}],"countries":["BE","FR"],"is_corresponding":false,"raw_author_name":"Ignace Van de Woestyne","raw_affiliation_strings":["Research Unit MEES, KU Leuven, Warmoesberg 26, 1000, Brussel, Belgium","Department of Economics (Lille - France)"],"raw_orcid":"https://orcid.org/0000-0002-4584-2784","affiliations":[{"raw_affiliation_string":"Research Unit MEES, KU Leuven, Warmoesberg 26, 1000, Brussel, Belgium","institution_ids":["https://openalex.org/I4210112645"]},{"raw_affiliation_string":"Department of Economics (Lille - France)","institution_ids":["https://openalex.org/I4210159017"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5007864896"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I181827316","https://openalex.org/I2279609970","https://openalex.org/I4210148300","https://openalex.org/I4210159017"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":1.1937,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.78109783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"271","issue":"2","first_page":"1067","last_page":"1078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9940000176429749,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9940000176429749,"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/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/enumeration","display_name":"Enumeration","score":0.9374631643295288},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7252529859542847},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5799408555030823},{"id":"https://openalex.org/keywords/returns-to-scale","display_name":"Returns to scale","score":0.5704203844070435},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.558627724647522},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5466254353523254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5374261736869812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5249930620193481},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5093961358070374},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5086230039596558},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44839417934417725},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.43270963430404663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.403377503156662},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21007421612739563},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.1765989065170288},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07317173480987549},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06601768732070923}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.9374631643295288},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7252529859542847},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5799408555030823},{"id":"https://openalex.org/C165083353","wikidata":"https://www.wikidata.org/wiki/Q282942","display_name":"Returns to scale","level":3,"score":0.5704203844070435},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.558627724647522},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5466254353523254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5374261736869812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5249930620193481},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5093961358070374},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5086230039596558},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44839417934417725},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.43270963430404663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.403377503156662},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21007421612739563},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.1765989065170288},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07317173480987549},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06601768732070923},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10479-018-2791-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-018-2791-5","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/614131","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/614131","pdf_url":null,"source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Annals of Operations Research, vol. 271 (2), (1067-1078)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-01733347v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01733347","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of Operations Research, 2018, 271, pp.1067-1078. &#x27E8;10.1007/s10479-018-2791-5&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:annopr:v:271:y:2018:i:2:d:10.1007_s10479-018-2791-5","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-018-2791-5","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":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/614131","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/614131","pdf_url":null,"source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Annals of Operations Research, vol. 271 (2), (1067-1078)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W48018346","https://openalex.org/W320808933","https://openalex.org/W628420031","https://openalex.org/W654481515","https://openalex.org/W1490052219","https://openalex.org/W1503184906","https://openalex.org/W1594792582","https://openalex.org/W1595334554","https://openalex.org/W1678905995","https://openalex.org/W1964327080","https://openalex.org/W1974899953","https://openalex.org/W1985454327","https://openalex.org/W1987018018","https://openalex.org/W1987892257","https://openalex.org/W1990269759","https://openalex.org/W1997417553","https://openalex.org/W1998867571","https://openalex.org/W2000841910","https://openalex.org/W2008175162","https://openalex.org/W2012825659","https://openalex.org/W2015643512","https://openalex.org/W2021231415","https://openalex.org/W2026542334","https://openalex.org/W2033623684","https://openalex.org/W2040905731","https://openalex.org/W2043425503","https://openalex.org/W2050998772","https://openalex.org/W2053639811","https://openalex.org/W2063588804","https://openalex.org/W2065748159","https://openalex.org/W2071361883","https://openalex.org/W2076452041","https://openalex.org/W2081202085","https://openalex.org/W2086177819","https://openalex.org/W2090143713","https://openalex.org/W2096719080","https://openalex.org/W2101483251","https://openalex.org/W2113527652","https://openalex.org/W2114107585","https://openalex.org/W2119805161","https://openalex.org/W2135298315","https://openalex.org/W2139454677","https://openalex.org/W2792298817","https://openalex.org/W2904803548","https://openalex.org/W3125484770","https://openalex.org/W3146652676","https://openalex.org/W4300591249","https://openalex.org/W6620094759","https://openalex.org/W6637982268"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2013740965","https://openalex.org/W588267724","https://openalex.org/W4297743441","https://openalex.org/W2952598754","https://openalex.org/W2026779193"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
