{"id":"https://openalex.org/W4400895775","doi":"https://doi.org/10.1007/s10957-024-02480-9","title":"On Dealing with Minima at the Border of a Simplicial Feasible Area in Simplicial Branch and Bound","display_name":"On Dealing with Minima at the Border of a Simplicial Feasible Area in Simplicial Branch and Bound","publication_year":2024,"publication_date":"2024-07-22","ids":{"openalex":"https://openalex.org/W4400895775","doi":"https://doi.org/10.1007/s10957-024-02480-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-024-02480-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02480-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02480-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02480-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067508381","display_name":"Bogl\u00e1rka G.-T\u00f3th","orcid":"https://orcid.org/0000-0002-0927-111X"},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Bogl\u00e1rka G.-T\u00f3th","raw_affiliation_strings":["University of Szeged, Szeged, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Szeged, Szeged, Hungary","institution_ids":["https://openalex.org/I227486990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049141591","display_name":"E.M.T. Hendrix","orcid":"https://orcid.org/0000-0003-1572-1436"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]},{"id":"https://openalex.org/I913481162","display_name":"Wageningen University & Research","ror":"https://ror.org/04qw24q55","country_code":"NL","type":"education","lineage":["https://openalex.org/I913481162"]}],"countries":["ES","NL"],"is_corresponding":true,"raw_author_name":"Eligius M. T. Hendrix","raw_affiliation_strings":["Universidad de M\u00e1laga, M\u00e1laga, Spain","Wageningen University, Wageningen, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0003-1572-1436","affiliations":[{"raw_affiliation_string":"Universidad de M\u00e1laga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Wageningen University, Wageningen, The Netherlands","institution_ids":["https://openalex.org/I913481162"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056739213","display_name":"L. G. Casado","orcid":"https://orcid.org/0000-0001-8459-4982"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Leocadio G. Casado","raw_affiliation_strings":["University of Almer\u00eda, CeiA3, Almer\u00eda, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Almer\u00eda, CeiA3, Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"last","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/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"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":["LAPLACE-ENSEEIHT, Toulouse-INP, University of Toulouse, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAPLACE-ENSEEIHT, Toulouse-INP, University of Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I205747304","https://openalex.org/I4210120905","https://openalex.org/I17866349","https://openalex.org/I4387153255"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5049141591"],"corresponding_institution_ids":["https://openalex.org/I82767444","https://openalex.org/I913481162"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.3066,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.77670716,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"203","issue":"2","first_page":"1880","last_page":"1909"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9957000017166138,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9890000224113464,"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":0.7876521348953247},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.7578411102294922},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5324158668518066},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.4968266785144806},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4717807471752167},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4699065089225769},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4515088200569153},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.44189807772636414},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.41633492708206177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32150453329086304},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1546154022216797},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06984829902648926},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06604179739952087}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7876521348953247},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.7578411102294922},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5324158668518066},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.4968266785144806},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4717807471752167},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4699065089225769},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4515088200569153},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.44189807772636414},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.41633492708206177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32150453329086304},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1546154022216797},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06984829902648926},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06604179739952087}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s10957-024-02480-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02480-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02480-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04909203v1","is_oa":true,"landing_page_url":"https://ut3-toulouseinp.hal.science/hal-04909203","pdf_url":"https://ut3-toulouseinp.hal.science/hal-04909203/document","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Optimization Theory and Applications, 2024, 203 (2), pp.1880-1909. ⟨10.1007/s10957-024-02480-9⟩","raw_type":"Journal articles"},{"id":"pmh:oai:library.wur.nl:wurpubs/633372","is_oa":true,"landing_page_url":"https://research.wur.nl/en/publications/on-dealing-with-minima-at-the-border-of-a-simplicial-feasible-are","pdf_url":"https://edepot.wur.nl/671554","source":{"id":"https://openalex.org/S4210201231","display_name":"Socio-Environmental Systems Modeling","issn_l":"2663-3027","issn":["2663-3027"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0022-3239","raw_type":"Article/Letter to editor"},{"id":"pmh:oai:HAL:hal-04909262v1","is_oa":false,"landing_page_url":"https://ut3-toulouseinp.hal.science/hal-04909262","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":"Journal of Optimization Theory and Applications, 2024, 203 (2), pp.1880-1909. ⟨10.1007/s10957-024-02480-9⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:joptap:v:203:y:2024:i:2:d:10.1007_s10957-024-02480-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-024-02480-9","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:repositorio.ual.es:10835/20559","is_oa":true,"landing_page_url":"http://hdl.handle.net/10835/20559","pdf_url":null,"source":{"id":"https://openalex.org/S4306400756","display_name":"Repositorio de Patentes de la Universidad de Almer\u00eda (Universidad de Almer\u00eda)","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:riuma.uma.es:10630/35163","is_oa":true,"landing_page_url":"https://hdl.handle.net/10630/35163","pdf_url":null,"source":{"id":"https://openalex.org/S4306401385","display_name":"Repositorio Institucional de la Universidad de M\u00e1laga (University of M\u00e1laga)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82767444","host_organization_name":"Universidad de M\u00e1laga","host_organization_lineage":["https://openalex.org/I82767444"],"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":"VoR"}],"best_oa_location":{"id":"doi:10.1007/s10957-024-02480-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10957-024-02480-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10957-024-02480-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G121809054","display_name":null,"funder_award_id":"MCIN/AEI/10","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G1554683258","display_name":null,"funder_award_id":"PID2021-123278OB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G1622782223","display_name":null,"funder_award_id":"MCIN/AEI/10","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G2309174360","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5489890681","display_name":null,"funder_award_id":"TKP2021","funder_id":"https://openalex.org/F4320328991","funder_display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium"},{"id":"https://openalex.org/G5550858994","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6129931974","display_name":null,"funder_award_id":"PID2021-123278OB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6558061132","display_name":null,"funder_award_id":"MCIN/AEI/10.","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7478106387","display_name":null,"funder_award_id":"TKP2021-NVA","funder_id":"https://openalex.org/F4320328991","funder_display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium"},{"id":"https://openalex.org/G7535663061","display_name":null,"funder_award_id":"AEI/10.","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8436601306","display_name":null,"funder_award_id":"TKP2021-NVA-09","funder_id":"https://openalex.org/F4320328991","funder_display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium"},{"id":"https://openalex.org/G8872346354","display_name":null,"funder_award_id":"MCIN/AEI/10.13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320328991","display_name":"Innov\u00e1ci\u00f3s \u00e9s Technol\u00f3giai Miniszt\u00e9rium","ror":"https://ror.org/02ey3ab96"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400895775.pdf"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W60763295","https://openalex.org/W1507872748","https://openalex.org/W2046480531","https://openalex.org/W2076840226","https://openalex.org/W2114467398","https://openalex.org/W2125642377","https://openalex.org/W2196094931","https://openalex.org/W2911928181","https://openalex.org/W3048214159","https://openalex.org/W3134034467","https://openalex.org/W3163171531","https://openalex.org/W3179641373","https://openalex.org/W4212864101","https://openalex.org/W4289601155"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W3188646203","https://openalex.org/W2909957174","https://openalex.org/W3048061938","https://openalex.org/W2018228211","https://openalex.org/W2064114733","https://openalex.org/W1993126934","https://openalex.org/W2009787992","https://openalex.org/W1997287370"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"a":[3,16,24,41,51,98,116,129,132,139],"simplicial":[4,25,143],"branch":[5],"and":[6,94,106,131],"bound":[7],"Global":[8],"Optimization":[9],"algorithm,":[10],"where":[11,122],"the":[12,35,45,56,61,65,68,74,123,142],"search":[13,69],"region":[14],"is":[15,40,48,126,136],"simplex.":[17],"Apart":[18],"from":[19],"using":[20],"longest":[21,103],"edge":[22,104],"bisection,":[23],"partition":[26],"set":[27,117,125],"can":[28,72],"be":[29],"reduced":[30],"due":[31,108],"to":[32,80,109],"monotonicity":[33],"of":[34,67,82,97,118,141],"objective":[36,46],"function.":[37],"If":[38],"there":[39],"direction":[42],"in":[43],"which":[44],"function":[47],"monotone":[49,92],"over":[50,115],"simplex,":[52,130],"depending":[53],"on":[54],"whether":[55],"facets":[57,96],"that":[58],"may":[59],"contain":[60],"minimum":[62,134],"are":[63,113],"at":[64,138],"border":[66,84,101],"region,":[70],"we":[71],"remove":[73],"simplex":[75,99],"completely,":[76],"or":[77],"reduce":[78],"it":[79],"some":[81],"its":[83],"facets.":[85],"Our":[86],"research":[87],"question":[88],"deals":[89],"with":[90],"finding":[91],"directions":[93],"labeling":[95],"as":[100,128],"after":[102],"bisection":[105],"reduction":[107],"monotonicity.":[110],"Experimental":[111],"results":[112],"shown":[114],"global":[119,133],"optimization":[120],"problems":[121],"feasible":[124,144],"defined":[127],"point":[135],"located":[137],"face":[140],"area.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}