{"id":"https://openalex.org/W3015993571","doi":"https://doi.org/10.1007/s10898-022-01127-1","title":"Numerical certification of Pareto optimality for biobjective nonlinear problems","display_name":"Numerical certification of Pareto optimality for biobjective nonlinear problems","publication_year":2022,"publication_date":"2022-01-22","ids":{"openalex":"https://openalex.org/W3015993571","doi":"https://doi.org/10.1007/s10898-022-01127-1","mag":"3015993571"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-022-01127-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-022-01127-1","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":true,"oa_status":"green","oa_url":"https://ensta.hal.science/hal-03588876","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089929904","display_name":"Charles Audet","orcid":"https://orcid.org/0000-0002-3043-5393"},"institutions":[{"id":"https://openalex.org/I108192572","display_name":"HEC Montr\u00e9al","ror":"https://ror.org/05ww3wq27","country_code":"CA","type":"education","lineage":["https://openalex.org/I108192572"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Charles Audet","raw_affiliation_strings":["GERAD and D\u00e9partement de math\u00e9matiques et g\u00e9nie industriel, Polytechnique Montr\u00e9al, Montr\u00e9al, QC, Canada","GERAD - Groupe d\u2019\u00e9tudes et de recherche en analyse des d\u00e9cisions (HEC Montr\u00e9al 3000, chemin de la C\u00f4te-Sainte-Catherine Montr\u00e9al (Qu\u00e9bec) Canada H3T 2A7 - Canada)","EPM - \u00c9cole Polytechnique de Montr\u00e9al (Campus de l'Universit\u00e9 de Montr\u00e9al - 2500, chemin de Polytechnique - Montr\u00e9al (Qu\u00e9bec) H3T 1J4 - Canada)"],"raw_orcid":"https://orcid.org/0000-0002-3043-5393","affiliations":[{"raw_affiliation_string":"GERAD and D\u00e9partement de math\u00e9matiques et g\u00e9nie industriel, Polytechnique Montr\u00e9al, Montr\u00e9al, QC, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"GERAD - Groupe d\u2019\u00e9tudes et de recherche en analyse des d\u00e9cisions (HEC Montr\u00e9al 3000, chemin de la C\u00f4te-Sainte-Catherine Montr\u00e9al (Qu\u00e9bec) Canada H3T 2A7 - Canada)","institution_ids":["https://openalex.org/I108192572","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"EPM - \u00c9cole Polytechnique de Montr\u00e9al (Campus de l'Universit\u00e9 de Montr\u00e9al - 2500, chemin de Polytechnique - Montr\u00e9al (Qu\u00e9bec) H3T 1J4 - Canada)","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028964575","display_name":"Fr\u00e9d\u00e9ric Messine","orcid":"https://orcid.org/0000-0002-6457-3321"},"institutions":[{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I4210120905","display_name":"Laboratoire Plasma et Conversion d'Energie","ror":"https://ror.org/02w5mvk98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210120905","https://openalex.org/I4387153255","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Messine","raw_affiliation_strings":["University of Toulouse, ENSEEIHT-LAPLACE, Toulouse, France","LAPLACE-GREM3 - Groupe de Recherches en Electrodynamique (LAPLACE\r\n118 Route de Narbonne\r\n31062 TOULOUSE CEDEX 9 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toulouse, ENSEEIHT-LAPLACE, Toulouse, France","institution_ids":["https://openalex.org/I205747304","https://openalex.org/I4210120905","https://openalex.org/I4387153255"]},{"raw_affiliation_string":"LAPLACE-GREM3 - Groupe de Recherches en Electrodynamique (LAPLACE\r\n118 Route de Narbonne\r\n31062 TOULOUSE CEDEX 9 - France)","institution_ids":["https://openalex.org/I4210120905"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025972670","display_name":"Jordan Ninin","orcid":"https://orcid.org/0000-0002-7232-8246"},"institutions":[{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]},{"id":"https://openalex.org/I4210148559","display_name":"\u00c9cole nationale sup\u00e9rieure de techniques avanc\u00e9es Bretagne","ror":"https://ror.org/059n54003","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102","https://openalex.org/I4210148559"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jordan Ninin","raw_affiliation_strings":["ENSTA-Bretagne, Lab-STICC, Team PRASYS, Brest, France","Lab-STICC_ENSTAB_CID_PRASYS (ENSTA Bretagne, 2 rue Fran\u00e7ois Verny, 29806 Brest cedex 9 - France)","Lab-STICC_MATRIX - Equipe Models and AlgoriThms for pRocessIng and eXtracting information (France)","ENSTA Bretagne - \u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es Bretagne (2 rue Fran\u00e7ois Verny, 29806 Brest cedex 9 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSTA-Bretagne, Lab-STICC, Team PRASYS, Brest, France","institution_ids":["https://openalex.org/I161929037","https://openalex.org/I4210123702","https://openalex.org/I4210148559"]},{"raw_affiliation_string":"Lab-STICC_ENSTAB_CID_PRASYS (ENSTA Bretagne, 2 rue Fran\u00e7ois Verny, 29806 Brest cedex 9 - France)","institution_ids":["https://openalex.org/I161929037","https://openalex.org/I4210148559"]},{"raw_affiliation_string":"Lab-STICC_MATRIX - Equipe Models and AlgoriThms for pRocessIng and eXtracting information (France)","institution_ids":["https://openalex.org/I161929037"]},{"raw_affiliation_string":"ENSTA Bretagne - \u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es Bretagne (2 rue Fran\u00e7ois Verny, 29806 Brest cedex 9 - France)","institution_ids":["https://openalex.org/I4210148559"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089929904"],"corresponding_institution_ids":["https://openalex.org/I108192572","https://openalex.org/I4210133247","https://openalex.org/I45683168"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00736769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"83","issue":"4","first_page":"891","last_page":"908"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.998199999332428,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.998199999332428,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9876000285148621,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7745650410652161},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6383157968521118},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.6328028440475464},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5965056419372559},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5960497260093689},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5382521152496338},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.47922569513320923},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.426543653011322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33566635847091675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22021451592445374}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7745650410652161},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6383157968521118},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.6328028440475464},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5965056419372559},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5960497260093689},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5382521152496338},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.47922569513320923},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.426543653011322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33566635847091675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22021451592445374},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10898-022-01127-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-022-01127-1","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:HAL:hal-03588876v1","is_oa":true,"landing_page_url":"https://ensta.hal.science/hal-03588876","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization, 2022, 83 (4), pp.891-908. &#x27E8;10.1007/s10898-022-01127-1&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:jglopt:v:83:y:2022:i:4:d:10.1007_s10898-022-01127-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-022-01127-1","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"},{"id":"pmh:oai:publications.polymtl.ca:50246","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/50246/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"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":"PeerReviewed"},{"id":"pmh:oai:publications.polymtl.ca:50247","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/50247/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03588876v1","is_oa":true,"landing_page_url":"https://ensta.hal.science/hal-03588876","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization, 2022, 83 (4), pp.891-908. &#x27E8;10.1007/s10898-022-01127-1&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G907569520","display_name":null,"funder_award_id":"239436-01","funder_id":"https://openalex.org/F4320321487","funder_display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320321487","display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W38163568","https://openalex.org/W1977310087","https://openalex.org/W1982568170","https://openalex.org/W1997188340","https://openalex.org/W2000562608","https://openalex.org/W2001741445","https://openalex.org/W2002285779","https://openalex.org/W2017151271","https://openalex.org/W2020320008","https://openalex.org/W2021674665","https://openalex.org/W2027507075","https://openalex.org/W2041107958","https://openalex.org/W2042105004","https://openalex.org/W2051748292","https://openalex.org/W2067648572","https://openalex.org/W2099229992","https://openalex.org/W2118690121","https://openalex.org/W2126434943","https://openalex.org/W2129480103","https://openalex.org/W2138002307","https://openalex.org/W2146474419","https://openalex.org/W2157245173","https://openalex.org/W2220980821","https://openalex.org/W2411418906","https://openalex.org/W2601628936","https://openalex.org/W2804784253","https://openalex.org/W3023082283","https://openalex.org/W3105444733","https://openalex.org/W3183659180","https://openalex.org/W4242880623"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1983207144","https://openalex.org/W2154141401","https://openalex.org/W2013545179","https://openalex.org/W2053943947","https://openalex.org/W2215744270","https://openalex.org/W2088889931","https://openalex.org/W2314484939"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2020-04-17T00:00:00"}
