{"id":"https://openalex.org/W2084572611","doi":"https://doi.org/10.1109/cdc.2011.6161361","title":"Enhancements on the hyperplane arrangements in mixed integer techniques","display_name":"Enhancements on the hyperplane arrangements in mixed integer techniques","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2084572611","doi":"https://doi.org/10.1109/cdc.2011.6161361","mag":"2084572611"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6161361","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009952869","display_name":"Florin Stoican","orcid":"https://orcid.org/0000-0002-4550-9113"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Florin Stoican","raw_affiliation_strings":["Systems Sciences (E3S), Automatic Control Department, SUPELEC, Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"Systems Sciences (E3S), Automatic Control Department, SUPELEC, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034151810","display_name":"Ionela Prodan","orcid":"https://orcid.org/0000-0002-3522-5192"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ionela Prodan","raw_affiliation_strings":["Systems Sciences (E3S), Automatic Control Department, SUPELEC, Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"Systems Sciences (E3S), Automatic Control Department, SUPELEC, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106497955","display_name":"Sorin Olaru","orcid":"https://orcid.org/0000-0003-3256-9595"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sorin Olaru","raw_affiliation_strings":["DISCO Team, INRIA, France","Systems Sciences (E3S), Automatic Control Department, SUPELEC, Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"DISCO Team, INRIA, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Systems Sciences (E3S), Automatic Control Department, SUPELEC, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009952869"],"corresponding_institution_ids":["https://openalex.org/I102475099"],"apc_list":null,"apc_paid":null,"fwci":4.5967,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.94671208,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3986","last_page":"3991"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9994999766349792,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9962000250816345,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9958999752998352,"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/hyperplane","display_name":"Hyperplane","score":0.7153630256652832},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7018030881881714},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.630700945854187},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5895358920097351},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5258912444114685},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4921388030052185},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4905495047569275},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4732903838157654},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4343024492263794},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4235239326953888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38308852910995483},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.329364538192749},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11395815014839172}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7153630256652832},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7018030881881714},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.630700945854187},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5895358920097351},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5258912444114685},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4921388030052185},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4905495047569275},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4732903838157654},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4343024492263794},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4235239326953888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38308852910995483},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.329364538192749},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11395815014839172},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2011.6161361","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00657868v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-00657868","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":"2011 50th IEEE Conference on Decision and Control and European Control Conference, Dec 2011, Orlando, Floride,, United States. ⟨10.1109/CDC.2011.6161361⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1569787476","https://openalex.org/W1597196612","https://openalex.org/W1977985274","https://openalex.org/W2011039300","https://openalex.org/W2017714866","https://openalex.org/W2020574634","https://openalex.org/W2084572611","https://openalex.org/W2109527950","https://openalex.org/W2114461408","https://openalex.org/W2147670844","https://openalex.org/W2157400407","https://openalex.org/W2159103656","https://openalex.org/W2331952463","https://openalex.org/W2332600699","https://openalex.org/W4206570602","https://openalex.org/W4242409733","https://openalex.org/W6677113806"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2019467317","https://openalex.org/W1585519779","https://openalex.org/W1965515989","https://openalex.org/W2088737283","https://openalex.org/W1999587863","https://openalex.org/W1929902734","https://openalex.org/W3104474499","https://openalex.org/W4376167435","https://openalex.org/W2042783797"],"abstract_inverted_index":{"The":[0,35],"current":[1],"paper":[2],"addresses":[3],"the":[4,42,49,53,62,74,83],"problem":[5,28,50],"of":[6,26,41,44,55,64,73,85],"optimizing":[7],"a":[8,12,39,79],"cost":[9],"function":[10,40],"over":[11],"non-convex":[13],"and":[14,69,78],"possibly":[15],"non-connected":[16],"feasible":[17],"region.":[18],"A":[19],"classical":[20],"approach":[21],"for":[22],"solving":[23],"this":[24],"type":[25],"optimization":[27],"is":[29,67,88],"based":[30],"on":[31],"Mixed":[32],"integer":[33],"technique.":[34],"exponential":[36],"complexity":[37],"as":[38],"number":[43,63],"binary":[45,65],"variables":[46,66],"used":[47],"in":[48],"formulation":[51],"highlights":[52],"importance":[54],"reducing":[56],"them.":[57],"Previous":[58],"work":[59],"which":[60],"minimize":[61],"revisited":[68],"enhanced.":[70],"Practical":[71],"limitations":[72],"procedure":[75],"are":[76],"discussed":[77],"typical":[80],"control":[81,84],"application,":[82],"Multi-Agent":[86],"Systems":[87],"exemplified.":[89]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}