{"id":"https://openalex.org/W7127963804","doi":"https://doi.org/10.1016/j.ejor.2026.02.003","title":"An efficient algorithm for vertical free-flight optimization in air transportation","display_name":"An efficient algorithm for vertical free-flight optimization in air transportation","publication_year":2026,"publication_date":"2026-02-05","ids":{"openalex":"https://openalex.org/W7127963804","doi":"https://doi.org/10.1016/j.ejor.2026.02.003"},"language":"en","primary_location":{"id":"doi:10.1016/j.ejor.2026.02.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ejor.2026.02.003","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","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/A5022370697","display_name":"Ralf Bornd","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ralf Bornd\u00f6rfer","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7223-9174","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072375949","display_name":"Van Hoan","orcid":"https://orcid.org/0000-0001-9098-109X"},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Van Hoan Do","raw_affiliation_strings":["Center for Applied Mathematics and Informatics, Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0001-9098-109X","affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics and Informatics, Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109261718","display_name":"Nam D\u0169ng Ho\u00e0ng","orcid":null},"institutions":[{"id":"https://openalex.org/I177233841","display_name":"Vietnam National University, Hanoi","ror":"https://ror.org/02jmfj006","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841"]},{"id":"https://openalex.org/I67868205","display_name":"VNU University of Science","ror":"https://ror.org/05w54hk79","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841","https://openalex.org/I67868205"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Nam D\u0169ng Hoang","raw_affiliation_strings":["Faculty of Mathematics, Mechanics and Informatics, University of Science, Vietnam National University, 334 Nguyen Trai, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0001-7752-824X","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Mechanics and Informatics, University of Science, Vietnam National University, 334 Nguyen Trai, Hanoi, Vietnam","institution_ids":["https://openalex.org/I177233841","https://openalex.org/I67868205"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072375949","https://openalex.org/A5109261718"],"corresponding_institution_ids":["https://openalex.org/I131359167","https://openalex.org/I177233841","https://openalex.org/I67868205"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18959108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"334","issue":"2","first_page":"453","last_page":"465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11489","display_name":"Air Traffic Management and Optimization","score":0.900600016117096,"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":0.900600016117096,"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/T11524","display_name":"Advanced Aircraft Design and Technologies","score":0.0731000006198883,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.004399999976158142,"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/fuel-efficiency","display_name":"Fuel efficiency","score":0.7319999933242798},{"id":"https://openalex.org/keywords/aviation","display_name":"Aviation","score":0.6657999753952026},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5911999940872192},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5781000256538391},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5490999817848206},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4747999906539917},{"id":"https://openalex.org/keywords/civil-aviation","display_name":"Civil aviation","score":0.4738999903202057},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.41260001063346863},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4124000072479248}],"concepts":[{"id":"https://openalex.org/C45882903","wikidata":"https://www.wikidata.org/wiki/Q5042317","display_name":"Fuel efficiency","level":2,"score":0.7319999933242798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.675599992275238},{"id":"https://openalex.org/C74448152","wikidata":"https://www.wikidata.org/wiki/Q765633","display_name":"Aviation","level":2,"score":0.6657999753952026},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5911999940872192},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5864999890327454},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5781000256538391},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5490999817848206},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4747999906539917},{"id":"https://openalex.org/C512918668","wikidata":"https://www.wikidata.org/wiki/Q206814","display_name":"Civil aviation","level":3,"score":0.4738999903202057},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.41260001063346863},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4124000072479248},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.39820000529289246},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.39250001311302185},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.37700000405311584},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3562000095844269},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.35179999470710754},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.3296999931335449},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.31630000472068787},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3075999915599823},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C2987236452","wikidata":"https://www.wikidata.org/wiki/Q765633","display_name":"Air transport","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2709999978542328},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2662999927997589},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C30772137","wikidata":"https://www.wikidata.org/wiki/Q5164762","display_name":"Consumption (sociology)","level":2,"score":0.26179999113082886},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.2558000087738037}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ejor.2026.02.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ejor.2026.02.003","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.5998576283454895,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1768655406","https://openalex.org/W1980053863","https://openalex.org/W2001981441","https://openalex.org/W2005642372","https://openalex.org/W2011191718","https://openalex.org/W2021650329","https://openalex.org/W2029660994","https://openalex.org/W2035345497","https://openalex.org/W2058532528","https://openalex.org/W2168112370","https://openalex.org/W2617137355","https://openalex.org/W2804289047","https://openalex.org/W3113652645","https://openalex.org/W3198368433"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2026-02-07T00:00:00"}