{"id":"https://openalex.org/W4366982240","doi":"https://doi.org/10.1007/s10589-023-00469-0","title":"Convergence of derivative-free nonmonotone Direct Search Methods for unconstrained and box-constrained mixed-integer optimization","display_name":"Convergence of derivative-free nonmonotone Direct Search Methods for unconstrained and box-constrained mixed-integer optimization","publication_year":2023,"publication_date":"2023-04-25","ids":{"openalex":"https://openalex.org/W4366982240","doi":"https://doi.org/10.1007/s10589-023-00469-0"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-023-00469-0","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10589-023-00469-0","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://dx.doi.org/10.1007/s10589-023-00469-0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050029217","display_name":"Ubaldo M. Garc\u00eda\u2010Palomares","orcid":"https://orcid.org/0000-0002-0288-5522"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Ubaldo M. Garc\u00eda Palomares","raw_affiliation_strings":["Universidade de Vigo, Vigo, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0288-5522","affiliations":[{"raw_affiliation_string":"Universidade de Vigo, Vigo, Spain","institution_ids":["https://openalex.org/I6289922"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050029217"],"corresponding_institution_ids":["https://openalex.org/I6289922"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07640281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"85","issue":"3","first_page":"821","last_page":"856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.991100013256073,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8041760921478271},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6711079478263855},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5699896216392517},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5576488971710205},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5470392107963562},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.5234974026679993},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48955854773521423},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4665956497192383},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.45956993103027344},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19823706150054932},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13108977675437927}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8041760921478271},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6711079478263855},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5699896216392517},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5576488971710205},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5470392107963562},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.5234974026679993},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48955854773521423},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4665956497192383},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.45956993103027344},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19823706150054932},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13108977675437927},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-023-00469-0","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10589-023-00469-0","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:www.investigo.biblioteca.uvigo.es:11093/5495","is_oa":true,"landing_page_url":"http://hdl.handle.net/11093/5495","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-023-00469-0.pdf","source":{"id":"https://openalex.org/S4377196408","display_name":"Investigo Institutional repository of UVigo (Universidade de Vigo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I6289922","host_organization_name":"Universidade de Vigo","host_organization_lineage":["https://openalex.org/I6289922"],"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":"article"},{"id":"pmh:oai:RePEc:spr:coopap:v:85:y:2023:i:3:d:10.1007_s10589-023-00469-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-023-00469-0","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":"doi:10.1007/s10589-023-00469-0","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10589-023-00469-0","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324091","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1541170979","https://openalex.org/W1546266651","https://openalex.org/W1849010941","https://openalex.org/W1986346500","https://openalex.org/W1998855065","https://openalex.org/W2012662720","https://openalex.org/W2015469780","https://openalex.org/W2015972284","https://openalex.org/W2026079992","https://openalex.org/W2026294088","https://openalex.org/W2043430160","https://openalex.org/W2053983905","https://openalex.org/W2054875385","https://openalex.org/W2056272789","https://openalex.org/W2057232030","https://openalex.org/W2058407505","https://openalex.org/W2064056506","https://openalex.org/W2071285512","https://openalex.org/W2073491843","https://openalex.org/W2076640191","https://openalex.org/W2084186221","https://openalex.org/W2094268929","https://openalex.org/W2111862596","https://openalex.org/W2133304166","https://openalex.org/W2144809990","https://openalex.org/W2151092342","https://openalex.org/W2152074179","https://openalex.org/W2167137033","https://openalex.org/W2508746829","https://openalex.org/W2515178122","https://openalex.org/W2796247070","https://openalex.org/W2895356945","https://openalex.org/W2902723719","https://openalex.org/W2914779286","https://openalex.org/W2942247392","https://openalex.org/W2987477074","https://openalex.org/W3008119361"],"related_works":["https://openalex.org/W2015399832","https://openalex.org/W2048642521","https://openalex.org/W2998088575","https://openalex.org/W3104862062","https://openalex.org/W2051191129","https://openalex.org/W3092127437","https://openalex.org/W2047074228","https://openalex.org/W1996676734","https://openalex.org/W3042090410","https://openalex.org/W2021207880"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"presents":[3],"a":[4,38],"class":[5],"of":[6,16,40,59,65],"nonmonotone":[7],"Direct":[8],"Search":[9],"Methods":[10],"that":[11,50],"converge":[12],"to":[13,76],"stationary":[14,36],"points":[15],"unconstrained":[17],"and":[18],"boxed":[19],"constrained":[20],"mixed-integer":[21],"optimization":[22],"problems.":[23],"A":[24,32],"new":[25],"concept":[26],"is":[27,35],"introduced:":[28],"the":[29,57,62],"quasi-descent":[30],"direction.":[31],"point":[33],"x":[34],"on":[37,49,74],"set":[39],"search":[41],"directions":[42],"if":[43],"there":[44],"exists":[45],"no":[46],"feasible":[47],"qdd":[48],"set.":[51],"The":[52],"method":[53],"does":[54],"not":[55],"require":[56],"computation":[58],"derivatives":[60],"nor":[61],"explicit":[63],"manipulation":[64],"asymptotically":[66],"dense":[67],"matrices.":[68],"Preliminary":[69],"numerical":[70],"experiments":[71],"carried":[72],"out":[73],"small":[75],"medium":[77],"problems":[78],"are":[79],"encouraging.":[80]},"counts_by_year":[],"updated_date":"2026-01-08T20:05:33.558190","created_date":"2025-10-10T00:00:00"}