{"id":"https://openalex.org/W2001227302","doi":"https://doi.org/10.1109/tits.2013.2257758","title":"Hybridization of Nonlinear and Mixed-Integer Linear Programming for Aircraft Separation With Trajectory Recovery","display_name":"Hybridization of Nonlinear and Mixed-Integer Linear Programming for Aircraft Separation With Trajectory Recovery","publication_year":2013,"publication_date":"2013-04-26","ids":{"openalex":"https://openalex.org/W2001227302","doi":"https://doi.org/10.1109/tits.2013.2257758","mag":"2001227302"},"language":"en","primary_location":{"id":"doi:10.1109/tits.2013.2257758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2013.2257758","pdf_url":null,"source":{"id":"https://openalex.org/S144771191","display_name":"IEEE Transactions on Intelligent Transportation Systems","issn_l":"1524-9050","issn":["1524-9050","1558-0016"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Intelligent Transportation Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-02099606","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040544859","display_name":"J\u00e9r\u00e9my Omer","orcid":"https://orcid.org/0000-0001-8801-6135"},"institutions":[{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jeremy Omer","raw_affiliation_strings":["The French Aerospace Laboratory, Office National d'Etudes et Recherches A\u00e9rospatiales, Toulouse, France","Office Nat. d'Etudes et Rech. Aeospatiales (Onera), Toulouse, France"],"affiliations":[{"raw_affiliation_string":"The French Aerospace Laboratory, Office National d'Etudes et Recherches A\u00e9rospatiales, Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]},{"raw_affiliation_string":"Office Nat. d'Etudes et Rech. Aeospatiales (Onera), Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082950421","display_name":"Jean-Loup Farges","orcid":"https://orcid.org/0000-0002-0737-0640"},"institutions":[{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Loup Farges","raw_affiliation_strings":["The French Aerospace Laboratory, Office National d'Etudes et Recherches A\u00e9rospatiales, Toulouse, France","Office Nat. d'Etudes et Rech. Aeospatiales (Onera), Toulouse, France"],"affiliations":[{"raw_affiliation_string":"The French Aerospace Laboratory, Office National d'Etudes et Recherches A\u00e9rospatiales, Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]},{"raw_affiliation_string":"Office Nat. d'Etudes et Rech. Aeospatiales (Onera), Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040544859"],"corresponding_institution_ids":["https://openalex.org/I2801658355"],"apc_list":null,"apc_paid":null,"fwci":88.9144,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.99753129,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"1218","last_page":"1230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11489","display_name":"Air Traffic Management and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11489","display_name":"Air Traffic Management and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.9972000122070312,"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/T12158","display_name":"Guidance and Control Systems","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/trajectory","display_name":"Trajectory","score":0.7055641412734985},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6926758885383606},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6072006225585938},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.538212239742279},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5119451284408569},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5041741132736206},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4781692624092102},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4676399230957031},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45681628584861755},{"id":"https://openalex.org/keywords/separation","display_name":"Separation (statistics)","score":0.4264790415763855},{"id":"https://openalex.org/keywords/trajectory-optimization","display_name":"Trajectory optimization","score":0.41162723302841187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3844773769378662},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34868088364601135},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3217492401599884},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15507620573043823},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.10463833808898926}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.7055641412734985},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6926758885383606},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6072006225585938},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.538212239742279},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5119451284408569},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5041741132736206},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4781692624092102},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4676399230957031},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45681628584861755},{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.4264790415763855},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.41162723302841187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3844773769378662},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34868088364601135},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3217492401599884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15507620573043823},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.10463833808898926},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"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},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tits.2013.2257758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2013.2257758","pdf_url":null,"source":{"id":"https://openalex.org/S144771191","display_name":"IEEE Transactions on Intelligent Transportation Systems","issn_l":"1524-9050","issn":["1524-9050","1558-0016"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Intelligent Transportation Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02099606v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02099606","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Intelligent Transportation Systems, 2013, 14 (3), pp.1218-1230. ⟨10.1109/TITS.2013.2257758⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02099606v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02099606","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Intelligent Transportation Systems, 2013, 14 (3), pp.1218-1230. ⟨10.1109/TITS.2013.2257758⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1606797603","https://openalex.org/W1632601927","https://openalex.org/W1971258090","https://openalex.org/W1985249384","https://openalex.org/W1985514867","https://openalex.org/W2001741445","https://openalex.org/W2009683816","https://openalex.org/W2011490168","https://openalex.org/W2045403423","https://openalex.org/W2065520302","https://openalex.org/W2072839015","https://openalex.org/W2080132051","https://openalex.org/W2082892656","https://openalex.org/W2101559082","https://openalex.org/W2102488278","https://openalex.org/W2111080100","https://openalex.org/W2124497430","https://openalex.org/W2131310337","https://openalex.org/W2132244811","https://openalex.org/W2152618686","https://openalex.org/W2157619424","https://openalex.org/W2164441443","https://openalex.org/W2773531821","https://openalex.org/W4238755419","https://openalex.org/W4300448178","https://openalex.org/W6635984658","https://openalex.org/W6980710300"],"related_works":["https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W2773399470","https://openalex.org/W3116484972","https://openalex.org/W2347515520","https://openalex.org/W2941986668","https://openalex.org/W4232431455","https://openalex.org/W2080132051","https://openalex.org/W1578328339"],"abstract_inverted_index":{"The":[0,99],"approach":[1],"presented":[2],"in":[3],"this":[4,32,102],"paper":[5],"aims":[6],"at":[7,56],"finding":[8],"a":[9,42,46,83,88,93,109],"solution":[10,81,110],"to":[11,35,45,68,77],"the":[12,22,79,97,112,122,126,153,156],"problem":[13],"of":[14,31,51,82,96,101,125,149,155],"conflict-free":[15],"motion":[16],"planning":[17],"for":[18],"multiple":[19],"aircraft":[20],"on":[21],"same":[23],"flight":[24],"level":[25],"with":[26,145],"trajectory":[27,60],"recovery.":[28],"One":[29],"contribution":[30],"work":[33],"is":[34,74,104,115,135],"develop":[36],"three":[37,139,146],"consistent":[38],"models,":[39],"i.e.,":[40],"from":[41,138],"continuous-time":[43],"representation":[44],"discrete-time":[47],"linear":[48,85,113],"approximation.":[49],"Each":[50],"these":[52],"models":[53],"guarantees":[54],"separation":[55],"all":[57],"times":[58],"and":[59],"recovery,":[61],"but":[62],"they":[63],"are":[64],"not":[65],"equally":[66],"difficult":[67],"solve.":[69],"A":[70,128,142],"new":[71],"hybrid":[72,157],"algorithm":[73],"thus":[75],"developed":[76],"use":[78],"optimal":[80],"mixed-integer":[84],"program":[86],"as":[87],"starting":[89],"point":[90],"when":[91,111],"solving":[92],"nonlinear":[94,123,150],"formulation":[95],"problem.":[98,127],"significance":[100],"process":[103],"that":[105],"it":[106],"always":[107],"finds":[108],"model":[114],"feasible":[116],"while":[117],"still":[118],"taking":[119],"into":[120],"account":[121],"nature":[124],"test":[129],"bed":[130],"containing":[131],"numerous":[132],"data":[133],"sets":[134],"then":[136],"generated":[137],"virtual":[140],"scenarios.":[141],"comparative":[143],"analysis":[144],"different":[147],"initializations":[148],"optimization":[151],"validates":[152],"efficiency":[154],"method.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":7}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}