{"id":"https://openalex.org/W2130309335","doi":"https://doi.org/10.23919/ecc.2013.6669645","title":"Hyperplane arrangements in mixed-integer programming techniques. Collision avoidance application with zonotopic sets","display_name":"Hyperplane arrangements in mixed-integer programming techniques. Collision avoidance application with zonotopic sets","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2130309335","doi":"https://doi.org/10.23919/ecc.2013.6669645","mag":"2130309335"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669645","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669645","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]},{"id":"https://openalex.org/I4210105718","display_name":"Trondheim Kommune","ror":"https://ror.org/01gjtys23","country_code":"NO","type":"government","lineage":["https://openalex.org/I4210105718"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Florin Stoican","raw_affiliation_strings":["Norges teknisk-naturvitenskapelige universitet, Trondheim, NO","Dept. of Eng. Cybern., Norwegian Univ. Of Sci. & Technol. (NTNU), Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Norges teknisk-naturvitenskapelige universitet, Trondheim, NO","institution_ids":["https://openalex.org/I4210105718"]},{"raw_affiliation_string":"Dept. of Eng. Cybern., Norwegian Univ. Of Sci. & Technol. (NTNU), Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"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":["SUPELEC Systems Sciences (E3S) - Automatic Control Department, Gif sur Yvette, France","Autom. Control Dept., SUPELEC Syst. Sci. (E3S), Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SUPELEC Systems Sciences (E3S) - Automatic Control Department, Gif sur Yvette, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Autom. Control Dept., SUPELEC Syst. Sci. (E3S), 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/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":["SUPELEC Systems Sciences (E3S) - Automatic Control Department, Gif sur Yvette, France","Autom. Control Dept., SUPELEC Syst. Sci. (E3S), Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SUPELEC Systems Sciences (E3S) - Automatic Control Department, Gif sur Yvette, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Autom. Control Dept., SUPELEC Syst. Sci. (E3S), Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3155","last_page":"3160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9815999865531921,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.854258120059967},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.7323015928268433},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6241347193717957},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5548186302185059},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.501640796661377},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.45663267374038696},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43909144401550293},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38057953119277954},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37550318241119385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3353716731071472},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13957256078720093}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.854258120059967},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7323015928268433},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6241347193717957},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5548186302185059},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.501640796661377},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.45663267374038696},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43909144401550293},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38057953119277954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37550318241119385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3353716731071472},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13957256078720093},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2013.6669645","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669645","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00827206v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-00827206","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":"2013 European Control Conference (ECC), Jul 2013, Zurich, Switzerland. pp.CD-Rom, ⟨10.23919/ECC.2013.6669645⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.47999998927116394,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W185074331","https://openalex.org/W579069454","https://openalex.org/W627014228","https://openalex.org/W1597196612","https://openalex.org/W1990097911","https://openalex.org/W1996372499","https://openalex.org/W2003973212","https://openalex.org/W2020574634","https://openalex.org/W2030996579","https://openalex.org/W2064716303","https://openalex.org/W2071775092","https://openalex.org/W2071896678","https://openalex.org/W2098425563","https://openalex.org/W2102022978","https://openalex.org/W2105761964","https://openalex.org/W2331952463"],"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/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768"],"abstract_inverted_index":{"The":[0,82],"current":[1],"paper":[2],"addresses":[3],"the":[4,8,36,40,46,50,65,74,78],"problem":[5,79],"of":[6,11,21,35,49,64,73,84,93],"minimizing":[7],"computational":[9],"complexity":[10],"optimization":[12,67],"problems":[13],"with":[14],"non-convex":[15],"and":[16,27,53,89],"possibly":[17],"non-connected":[18],"feasible":[19,37],"region":[20,38],"polyhedral":[22],"type.":[23],"Using":[24],"hyperplane":[25,51],"arrangements":[26,52],"Mixed-Integer":[28],"Programming":[29],"we":[30,44],"provide":[31,60],"an":[32,61],"efficient":[33,62],"description":[34,56],"in":[39,57,77],"solution":[41,63],"space.":[42],"Moreover,":[43],"exploit":[45],"geometric":[47],"properties":[48],"adapt":[54],"this":[55,85],"order":[58],"to":[59],"mixed-integer":[66],"problem.":[68],"Furthermore,":[69],"a":[70],"zonotopic":[71],"representation":[72,86],"sets":[75],"appearing":[76],"is":[80],"considered.":[81],"advantages":[83],"are":[87],"highlighted":[88],"exploited":[90],"through":[91],"proof":[92],"concepts":[94],"illustrations":[95],"as":[96,98],"well":[97],"simulation":[99],"results.":[100]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}