{"id":"https://openalex.org/W3197575342","doi":"https://doi.org/10.1007/s10898-021-01085-0","title":"Review and comparison of algorithms and software for mixed-integer derivative-free optimization","display_name":"Review and comparison of algorithms and software for mixed-integer derivative-free optimization","publication_year":2021,"publication_date":"2021-09-07","ids":{"openalex":"https://openalex.org/W3197575342","doi":"https://doi.org/10.1007/s10898-021-01085-0","mag":"3197575342"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-021-01085-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-021-01085-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-021-01085-0.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/s10898-021-01085-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010858186","display_name":"\u039d\u03b9\u03ba\u03cc\u03bb\u03b1\u03bf\u03c2 \u03a0\u03bb\u03cc\u03c3\u03ba\u03b1\u03c2","orcid":"https://orcid.org/0000-0001-5876-9945"},"institutions":[{"id":"https://openalex.org/I89506807","display_name":"University of Western Macedonia","ror":"https://ror.org/00a5pe906","country_code":"GR","type":"education","lineage":["https://openalex.org/I89506807"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikolaos Ploskas","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Western Macedonia, Kozani, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Western Macedonia, Kozani, Greece","institution_ids":["https://openalex.org/I89506807"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031811254","display_name":"Nikolaos V. Sahinidis","orcid":"https://orcid.org/0000-0003-2087-9131"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nikolaos V. Sahinidis","raw_affiliation_strings":["H. Milton Stewart School of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, USA","School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, USA"],"raw_orcid":"https://orcid.org/0000-0003-2087-9131","affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031811254"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":2.6584,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.9163975,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"82","issue":"3","first_page":"433","last_page":"462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9994999766349792,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9977999925613403,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9944999814033508,"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/integer","display_name":"Integer (computer science)","score":0.756449818611145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6121790409088135},{"id":"https://openalex.org/keywords/testbed","display_name":"Testbed","score":0.6111360788345337},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6110279560089111},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5615395903587341},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5192270874977112},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5172127485275269},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5027022361755371},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43550223112106323},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.41888633370399475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2887255549430847}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.756449818611145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6121790409088135},{"id":"https://openalex.org/C31395832","wikidata":"https://www.wikidata.org/wiki/Q1318674","display_name":"Testbed","level":2,"score":0.6111360788345337},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6110279560089111},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5615395903587341},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5192270874977112},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5172127485275269},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5027022361755371},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43550223112106323},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.41888633370399475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2887255549430847},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-021-01085-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-021-01085-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-021-01085-0.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:82:y:2022:i:3:d:10.1007_s10898-021-01085-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-021-01085-0","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/s10898-021-01085-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-021-01085-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-021-01085-0.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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3197575342.pdf","grobid_xml":"https://content.openalex.org/works/W3197575342.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W181733065","https://openalex.org/W825526018","https://openalex.org/W1497256448","https://openalex.org/W1537384856","https://openalex.org/W1539546977","https://openalex.org/W1604314819","https://openalex.org/W1975009952","https://openalex.org/W1975046772","https://openalex.org/W1979869067","https://openalex.org/W1986346500","https://openalex.org/W1994895518","https://openalex.org/W1994939329","https://openalex.org/W1998855065","https://openalex.org/W2004407575","https://openalex.org/W2008292066","https://openalex.org/W2014337138","https://openalex.org/W2016670346","https://openalex.org/W2020596996","https://openalex.org/W2021940557","https://openalex.org/W2024060531","https://openalex.org/W2024697317","https://openalex.org/W2026977976","https://openalex.org/W2028715997","https://openalex.org/W2045343588","https://openalex.org/W2050045401","https://openalex.org/W2054875385","https://openalex.org/W2054944549","https://openalex.org/W2057830724","https://openalex.org/W2060532382","https://openalex.org/W2068601225","https://openalex.org/W2073491843","https://openalex.org/W2078667866","https://openalex.org/W2080233464","https://openalex.org/W2082935036","https://openalex.org/W2090517984","https://openalex.org/W2091180222","https://openalex.org/W2092070658","https://openalex.org/W2094268929","https://openalex.org/W2109364787","https://openalex.org/W2111862596","https://openalex.org/W2116825765","https://openalex.org/W2121760303","https://openalex.org/W2125437500","https://openalex.org/W2130788193","https://openalex.org/W2140691217","https://openalex.org/W2146984835","https://openalex.org/W2152195021","https://openalex.org/W2152710595","https://openalex.org/W2153101932","https://openalex.org/W2154839555","https://openalex.org/W2155382668","https://openalex.org/W2160960847","https://openalex.org/W2165203444","https://openalex.org/W2171074980","https://openalex.org/W2482799402","https://openalex.org/W2543580944","https://openalex.org/W2619244470","https://openalex.org/W2726332099","https://openalex.org/W2775085189","https://openalex.org/W2790015017","https://openalex.org/W2889510677","https://openalex.org/W2894778426","https://openalex.org/W2942247392","https://openalex.org/W3008807310","https://openalex.org/W3134737918","https://openalex.org/W4298872671","https://openalex.org/W6602331540"],"related_works":["https://openalex.org/W2883256816","https://openalex.org/W2171408034","https://openalex.org/W3003320923","https://openalex.org/W2106140982","https://openalex.org/W2152313554","https://openalex.org/W4298824844","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"reviews":[3],"the":[4,72,84,101,117,127,140,160],"literature":[5],"on":[6,26,152,163],"algorithms":[7,25],"for":[8,124],"solving":[9],"bound-constrained":[10],"mixed-integer":[11,52],"derivative-free":[12,34],"optimization":[13,35],"problems":[14,60,128],"and":[15,51,54,58,91,137,154,168],"presents":[16],"a":[17,27,40,62,80,93],"systematic":[18],"comparison":[19],"of":[20,23,30,43,65,103,126],"available":[21,89],"implementations":[22],"these":[24,105],"large":[28,59,153],"collection":[29],"test":[31,41,131],"problems.":[32,45,170],"Thirteen":[33],"solvers":[36,73,106,118,135,145,151],"are":[37],"compared":[38],"using":[39],"set":[42],"267":[44],"The":[46,133],"testbed":[47],"includes:":[48],"(i)":[49],"pure-integer":[50],"problems,":[53,156],"(ii)":[55],"small,":[56,167],"medium,":[57],"covering":[61],"wide":[63],"range":[64],"characteristics":[66],"found":[67,121],"in":[68,129],"applications.":[69],"We":[70],"evaluate":[71],"according":[74],"to":[75,78,107],"their":[76],"ability":[77,102],"find":[79,83],"near-optimal":[81],"solution,":[82],"best":[85,141,161],"solution":[86],"among":[87,143],"currently":[88],"solvers,":[90],"improve":[92],"given":[94],"starting":[95],"point.":[96],"Computational":[97],"results":[98],"show":[99],"that":[100],"all":[104,144,149],"obtain":[108],"good":[109],"solutions":[110,123],"diminishes":[111],"with":[112],"increasing":[113],"problem":[114],"size,":[115],"but":[116],"evaluated":[119],"collectively":[120],"optimal":[122],"93%":[125],"our":[130],"set.":[132],"open-source":[134],"MISO":[136,147],"NOMAD":[138,158],"were":[139],"performers":[142],"tested.":[146],"outperformed":[148],"other":[150],"binary":[155],"while":[157],"was":[159],"performer":[162],"mixed-integer,":[164],"non-binary":[165],"discrete,":[166],"medium-sized":[169]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6}],"updated_date":"2026-05-27T09:02:27.158192","created_date":"2025-10-10T00:00:00"}