{"id":"https://openalex.org/W2253829587","doi":"https://doi.org/10.1134/s0005117915100082","title":"On the problem polyhedral separability: A numerical solution","display_name":"On the problem polyhedral separability: A numerical solution","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2253829587","doi":"https://doi.org/10.1134/s0005117915100082","mag":"2253829587"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117915100082","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117915100082","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"},"type":"article","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/A5057301741","display_name":"Alexander S. Strekalovsky","orcid":"https://orcid.org/0000-0002-4664-6961"},"institutions":[{"id":"https://openalex.org/I4210148533","display_name":"Institute for System Dynamics and Control Theory","ror":"https://ror.org/04wteqw51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210127387","https://openalex.org/I4210148533","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. S. Strekalovsky","raw_affiliation_strings":["Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia","institution_ids":["https://openalex.org/I4210148533"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047774781","display_name":"Tatiana V. Gruzdeva","orcid":"https://orcid.org/0000-0002-4579-3927"},"institutions":[{"id":"https://openalex.org/I4210148533","display_name":"Institute for System Dynamics and Control Theory","ror":"https://ror.org/04wteqw51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210127387","https://openalex.org/I4210148533","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"T. V. Gruzdeva","raw_affiliation_strings":["Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia","institution_ids":["https://openalex.org/I4210148533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037867993","display_name":"A. V. Orlov","orcid":"https://orcid.org/0000-0003-1593-9347"},"institutions":[{"id":"https://openalex.org/I4210148533","display_name":"Institute for System Dynamics and Control Theory","ror":"https://ror.org/04wteqw51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210127387","https://openalex.org/I4210148533","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. V. Orlov","raw_affiliation_strings":["Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia","institution_ids":["https://openalex.org/I4210148533"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057301741"],"corresponding_institution_ids":["https://openalex.org/I4210148533"],"apc_list":null,"apc_paid":null,"fwci":0.4387,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65109456,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"76","issue":"10","first_page":"1803","last_page":"1816"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9876000285148621,"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":0.9876000285148621,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9624000191688538,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9523000121116638,"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/hyperplane","display_name":"Hyperplane","score":0.8004463911056519},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7278632521629333},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6591528058052063},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5923133492469788},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5922594666481018},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5202768445014954},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4795943796634674},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47148630023002625},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4671351909637451},{"id":"https://openalex.org/keywords/separation","display_name":"Separation (statistics)","score":0.46604669094085693},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40816617012023926},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13560441136360168},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1307300627231598}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.8004463911056519},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7278632521629333},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6591528058052063},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5923133492469788},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5922594666481018},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5202768445014954},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4795943796634674},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47148630023002625},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4671351909637451},{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.46604669094085693},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40816617012023926},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13560441136360168},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1307300627231598},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117915100082","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117915100082","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W111413457","https://openalex.org/W118192071","https://openalex.org/W152607948","https://openalex.org/W216935602","https://openalex.org/W561237418","https://openalex.org/W1481810791","https://openalex.org/W1538755060","https://openalex.org/W1553702074","https://openalex.org/W1976683215","https://openalex.org/W1990494141","https://openalex.org/W2060591526","https://openalex.org/W2129889866","https://openalex.org/W2133218851","https://openalex.org/W2148603752","https://openalex.org/W3203127690","https://openalex.org/W4247489173","https://openalex.org/W4293775970","https://openalex.org/W4299356270"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2124975081","https://openalex.org/W2133947431","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218"],"abstract_inverted_index":{"Using":[0],"the":[1,8,13,22,31,37],"piecewise-linear":[2],"function,":[3],"consideration":[4],"was":[5,42,48],"given":[6],"to":[7,29],"problem":[9,23,34],"of":[10,12,24,35,39,52],"separation":[11],"sets":[14],"whose":[15],"convex":[16],"hulls":[17],"have":[18],"nonempty":[19],"intersections.":[20],"For":[21],"polyhedral":[25],"separability,":[26],"an":[27],"algorithm":[28],"solve":[30],"equivalent":[32],"optimization":[33],"seeking":[36],"family":[38],"separating":[40],"hyperplanes":[41],"proposed":[43],"and":[44],"substantiated.":[45],"Its":[46],"efficiency":[47],"demonstrated":[49],"by":[50],"way":[51],"a":[53],"numerical":[54],"experiment.":[55]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
