{"id":"https://openalex.org/W2055779623","doi":"https://doi.org/10.1109/cdc.2010.5717681","title":"Probabilistic 4D trajectory prediction and conflict detection for air traffic control","display_name":"Probabilistic 4D trajectory prediction and conflict detection for air traffic control","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2055779623","doi":"https://doi.org/10.1109/cdc.2010.5717681","mag":"2055779623"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5100768143","display_name":"Weiyi Liu","orcid":"https://orcid.org/0000-0003-4835-7861"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Weiyi Liu","raw_affiliation_strings":["School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, USA","School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, 47907, USA"],"affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079117845","display_name":"Inseok Hwang","orcid":"https://orcid.org/0000-0001-7847-9865"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Inseok Hwang","raw_affiliation_strings":["School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, USA","School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, 47907, USA"],"affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100768143"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":3.4453,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.9163608,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1183","last_page":"1188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11489","display_name":"Air Traffic Management and Optimization","score":1.0,"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":1.0,"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/T12125","display_name":"Aerospace and Aviation Technology","score":0.9973000288009644,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.74802565574646},{"id":"https://openalex.org/keywords/air-traffic-control","display_name":"Air traffic control","score":0.7042946219444275},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6467382907867432},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6185608506202698},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5059038996696472},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4548611342906952},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4475557804107666},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.41754189133644104},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36809399724006653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.335237979888916},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.223430335521698},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2111380696296692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19938960671424866}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.74802565574646},{"id":"https://openalex.org/C166961238","wikidata":"https://www.wikidata.org/wiki/Q221395","display_name":"Air traffic control","level":2,"score":0.7042946219444275},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6467382907867432},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6185608506202698},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5059038996696472},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4548611342906952},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4475557804107666},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.41754189133644104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36809399724006653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.335237979888916},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.223430335521698},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2111380696296692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19938960671424866},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2010.5717681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W182452766","https://openalex.org/W278413204","https://openalex.org/W1522220794","https://openalex.org/W1531532259","https://openalex.org/W1970035417","https://openalex.org/W2008618334","https://openalex.org/W2041231002","https://openalex.org/W2051338647","https://openalex.org/W2066075679","https://openalex.org/W2112034987","https://openalex.org/W2115080969","https://openalex.org/W2117397690","https://openalex.org/W2124489106","https://openalex.org/W2124497430","https://openalex.org/W2128801172","https://openalex.org/W2129482594","https://openalex.org/W2156835128","https://openalex.org/W2169030242","https://openalex.org/W2172081628","https://openalex.org/W2320990480","https://openalex.org/W6679101080"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W3131574667","https://openalex.org/W4248382324","https://openalex.org/W4360995134","https://openalex.org/W2387529410","https://openalex.org/W2039473718","https://openalex.org/W3023605104","https://openalex.org/W2383578611","https://openalex.org/W2987583674","https://openalex.org/W3186928667"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,19,23,47,52,67,81,88,98],"problem":[6],"of":[7,18,22,91,97],"aircraft":[8,48],"4D":[9,56],"trajectory":[10,57],"prediction":[11,58],"and":[12],"conflict":[13,74],"detection":[14,75],"which":[15],"is":[16,43,60,77,101],"one":[17],"key":[20],"functions":[21],"Next":[24],"Generation":[25],"Air":[26],"Transportation":[27],"System":[28],"(NextGen).":[29],"A":[30],"stochastic":[31],"linear":[32],"hybrid":[33],"system":[34],"(SLHS)":[35],"with":[36],"two":[37],"different":[38],"discrete":[39],"state":[40],"transition":[41],"models":[42],"proposed":[44,61,99],"to":[45],"describe":[46],"motion.":[49],"Based":[50],"on":[51,80],"SLHS":[53],"model,":[54],"a":[55,71],"algorithm":[59,76],"utilizing":[62],"some":[63],"prior":[64],"information":[65],"about":[66],"aircraft's":[68],"intent.":[69],"Also,":[70],"computationally":[72],"efficient":[73],"developed":[78],"based":[79],"cumulative":[82],"distribution":[83],"function":[84],"(cdf)":[85],"approximation":[86],"for":[87],"quadratic":[89],"form":[90],"Gaussian":[92],"random":[93],"variables.":[94],"The":[95],"performance":[96],"algorithms":[100],"validated":[102],"through":[103],"an":[104],"illustrative":[105],"air":[106],"traffic":[107],"scenario.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
