{"id":"https://openalex.org/W3092658954","doi":"https://doi.org/10.1007/s10898-020-00956-2","title":"Nonconvex constrained optimization by a filtering branch and bound","display_name":"Nonconvex constrained optimization by a filtering branch and bound","publication_year":2020,"publication_date":"2020-10-15","ids":{"openalex":"https://openalex.org/W3092658954","doi":"https://doi.org/10.1007/s10898-020-00956-2","mag":"3092658954"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-020-00956-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-020-00956-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-020-00956-2.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10898-020-00956-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020142332","display_name":"Gabriele Eichfelder","orcid":"https://orcid.org/0000-0002-1938-6316"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gabriele Eichfelder","raw_affiliation_strings":["Institute for Mathematics, Technische Universit\u00e4t Ilmenau, P.O. Box 10 05 65, 98684, Ilmenau, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1938-6316","affiliations":[{"raw_affiliation_string":"Institute for Mathematics, Technische Universit\u00e4t Ilmenau, P.O. Box 10 05 65, 98684, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056075291","display_name":"Kathrin Klamroth","orcid":"https://orcid.org/0000-0001-9119-0732"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kathrin Klamroth","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Wuppertal, Gau\u00dfstr. 20, 42119, Wuppertal, Germany"],"raw_orcid":"https://orcid.org/0000-0001-9119-0732","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Wuppertal, Gau\u00dfstr. 20, 42119, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075680709","display_name":"Julia Niebling","orcid":"https://orcid.org/0000-0001-5413-2234"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Julia Niebling","raw_affiliation_strings":["Institute for Mathematics, Technische Universit\u00e4t Ilmenau, P.O. Box 10 05 65, 98684, Ilmenau, Germany"],"raw_orcid":"https://orcid.org/0000-0001-5413-2234","affiliations":[{"raw_affiliation_string":"Institute for Mathematics, Technische Universit\u00e4t Ilmenau, P.O. Box 10 05 65, 98684, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075680709"],"corresponding_institution_ids":["https://openalex.org/I119449181"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":0.5796,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65014231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"80","issue":"1","first_page":"31","last_page":"61"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.998199999332428,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9973000288009644,"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/mathematics","display_name":"Mathematics","score":0.6331830024719238},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5600080490112305},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5545967221260071},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4997987747192383},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4974212944507599},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4724093973636627},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44750556349754333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33642280101776123},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12088644504547119}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6331830024719238},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5600080490112305},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5545967221260071},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4997987747192383},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4974212944507599},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4724093973636627},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44750556349754333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33642280101776123},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12088644504547119},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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":4,"locations":[{"id":"doi:10.1007/s10898-020-00956-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-020-00956-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-020-00956-2.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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:80:y:2021:i:1:d:10.1007_s10898-020-00956-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-020-00956-2","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"},{"id":"pmh:oai:econstor.eu:10419/288684","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/288684","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:article"},{"id":"pmh:oai:www.db-thueringen.de:dbt_mods_00049563","is_oa":true,"landing_page_url":"https://www.db-thueringen.de/receive/dbt_mods_00049563","pdf_url":null,"source":{"id":"https://openalex.org/S4306400120","display_name":"Common Library Network (Der Gemeinsame Bibliotheksverbund)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210149878","host_organization_name":"Verbundzentrale des GBV","host_organization_lineage":["https://openalex.org/I4210149878"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10898-020-00956-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-020-00956-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-020-00956-2.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3180136813","display_name":null,"funder_award_id":"RTG 1567","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6684656723","display_name":null,"funder_award_id":"Promotionsstipendium 2017-2019","funder_id":"https://openalex.org/F4320309895","funder_display_name":"Carl-Zeiss-Stiftung"}],"funders":[{"id":"https://openalex.org/F4320309895","display_name":"Carl-Zeiss-Stiftung","ror":"https://ror.org/03ng4kg22"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3092658954.pdf","grobid_xml":"https://content.openalex.org/works/W3092658954.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W11974643","https://openalex.org/W178772886","https://openalex.org/W607845112","https://openalex.org/W615245433","https://openalex.org/W1719846953","https://openalex.org/W1846834309","https://openalex.org/W1984425167","https://openalex.org/W1991402596","https://openalex.org/W2004407575","https://openalex.org/W2008499862","https://openalex.org/W2012902555","https://openalex.org/W2019792531","https://openalex.org/W2023119259","https://openalex.org/W2048799772","https://openalex.org/W2048944090","https://openalex.org/W2053313344","https://openalex.org/W2058329377","https://openalex.org/W2066129260","https://openalex.org/W2126105956","https://openalex.org/W2152551290","https://openalex.org/W2155479334","https://openalex.org/W2270168262","https://openalex.org/W2411418906","https://openalex.org/W2461086774","https://openalex.org/W2483998465","https://openalex.org/W2499304758","https://openalex.org/W2740941491","https://openalex.org/W2766184124","https://openalex.org/W2792164701","https://openalex.org/W2802620382","https://openalex.org/W2804784253","https://openalex.org/W2911296236"],"related_works":["https://openalex.org/W2349580982","https://openalex.org/W3217415483","https://openalex.org/W4285677055","https://openalex.org/W3104770499","https://openalex.org/W1992731528","https://openalex.org/W2007843488","https://openalex.org/W1994436307","https://openalex.org/W2795565301","https://openalex.org/W1987021796","https://openalex.org/W4387886124"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"major":[2],"difficulty":[3],"in":[4,41,81],"optimization":[5,26,60],"with":[6],"nonconvex":[7],"constraints":[8],"is":[9,37,78],"to":[10,29,67],"find":[11,92],"feasible":[12,31,93,116],"solutions.":[13],"As":[14],"simple":[15],"examples":[16],"show,":[17],"the":[18,58,63,69,82,99],"$$\\alpha":[19,102],"$$":[20,103],"<mml:math":[21,104],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>\u03b1</mml:mi></mml:math>":[22,105],"BB-algorithm":[23],"for":[24],"single-objective":[25,101],"may":[27],"fail":[28],"compute":[30],"solutions":[32,97],"even":[33],"though":[34],"this":[35,45],"algorithm":[36],"a":[38,49,54,115],"popular":[39],"method":[40,107],"global":[42],"optimization.":[43],"In":[44],"work,":[46],"we":[47,89],"introduce":[48],"filtering":[50],"approach":[51],"motivated":[52],"by":[53],"multiobjective":[55,64],"reformulation":[56,65],"of":[57],"constrained":[59],"problem.":[61],"Moreover,":[62],"enables":[66],"identify":[68],"trade-off":[70],"between":[71],"constraint":[72],"satisfaction":[73],"and":[74,94],"objective":[75],"value":[76],"which":[77],"also":[79],"reflected":[80],"quality":[83],"guarantee.":[84],"Numerical":[85],"tests":[86],"validate":[87],"that":[88],"indeed":[90],"can":[91],"often":[95],"optimal":[96],"where":[98],"classical":[100],"BB":[106],"fails,":[108],"i.e.,":[109],"it":[110],"terminates":[111],"without":[112],"ever":[113],"finding":[114],"solution.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}