{"id":"https://openalex.org/W4403331509","doi":"https://doi.org/10.1016/j.cor.2024.106869","title":"A branch-cut-and-price approach for the two-echelon vehicle routing problem with drones","display_name":"A branch-cut-and-price approach for the two-echelon vehicle routing problem with drones","publication_year":2024,"publication_date":"2024-10-11","ids":{"openalex":"https://openalex.org/W4403331509","doi":"https://doi.org/10.1016/j.cor.2024.106869"},"language":"en","primary_location":{"id":"doi:10.1016/j.cor.2024.106869","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cor.2024.106869","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cor.2024.106869","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5098767857","display_name":"Sylvain Lichau","orcid":"https://orcid.org/0000-0001-6433-2109"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210157089","display_name":"Laboratoire de l'Int\u00e9gration du Mat\u00e9riau au Syst\u00e8me","ror":"https://ror.org/04nabhy78","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210091158","https://openalex.org/I4210095849","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sylvain Lichau","raw_affiliation_strings":["Univ. Bordeaux, CNRS, Bordeaux INP, IMS, UMR 5218, Talence, F-33400, France","EDGE - Formulations \u00e9tendues et m\u00e9thodes de d\u00e9composition pour des probl\u00e8mes g\u00e9n\u00e9riques d'optimisation (200 Avenue de la Vieille Tour, 33405 Talence / Institut de Math\u00e9matiques de Bordeaux, B\u00e2timent A33, Cours de la Lib\u00e9ration, 33400 Talence - France)","IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","IMS - Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me (33405 TALENCE CEDEX - France)"],"raw_orcid":"https://orcid.org/0000-0001-6433-2109","affiliations":[{"raw_affiliation_string":"Univ. Bordeaux, CNRS, Bordeaux INP, IMS, UMR 5218, Talence, F-33400, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"EDGE - Formulations \u00e9tendues et m\u00e9thodes de d\u00e9composition pour des probl\u00e8mes g\u00e9n\u00e9riques d'optimisation (200 Avenue de la Vieille Tour, 33405 Talence / Institut de Math\u00e9matiques de Bordeaux, B\u00e2timent A33, Cours de la Lib\u00e9ration, 33400 Talence - France)","institution_ids":["https://openalex.org/I4210166017"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","institution_ids":["https://openalex.org/I4210166017"]},{"raw_affiliation_string":"IMS - Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me (33405 TALENCE CEDEX - France)","institution_ids":["https://openalex.org/I4210157089","https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091714809","display_name":"Ruslan Sadykov","orcid":"https://orcid.org/0000-0002-4862-2226"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ruslan Sadykov","raw_affiliation_strings":["Univ. Bordeaux, CNRS, INRIA, Bordeaux INP, IMB, UMR 5251, Talence, F-33400, France","Atoptima (351 Cours de la Lib\u00e9ration\r\n33400 Talence - France)","EDGE - Formulations \u00e9tendues et m\u00e9thodes de d\u00e9composition pour des probl\u00e8mes g\u00e9n\u00e9riques d'optimisation (200 Avenue de la Vieille Tour, 33405 Talence / Institut de Math\u00e9matiques de Bordeaux, B\u00e2timent A33, Cours de la Lib\u00e9ration, 33400 Talence - France)","IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","Realopt - Reformulations based algorithms for Combinatorial Optimization (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)"],"raw_orcid":"https://orcid.org/0000-0002-4862-2226","affiliations":[{"raw_affiliation_string":"Univ. Bordeaux, CNRS, INRIA, Bordeaux INP, IMB, UMR 5251, Talence, F-33400, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]},{"raw_affiliation_string":"Atoptima (351 Cours de la Lib\u00e9ration\r\n33400 Talence - France)","institution_ids":[]},{"raw_affiliation_string":"EDGE - Formulations \u00e9tendues et m\u00e9thodes de d\u00e9composition pour des probl\u00e8mes g\u00e9n\u00e9riques d'optimisation (200 Avenue de la Vieille Tour, 33405 Talence / Institut de Math\u00e9matiques de Bordeaux, B\u00e2timent A33, Cours de la Lib\u00e9ration, 33400 Talence - France)","institution_ids":["https://openalex.org/I4210166017"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","institution_ids":["https://openalex.org/I4210166017"]},{"raw_affiliation_string":"Realopt - Reformulations based algorithms for Combinatorial Optimization (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043618545","display_name":"Julien Fran\u00e7ois","orcid":"https://orcid.org/0000-0002-9537-6806"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210157089","display_name":"Laboratoire de l'Int\u00e9gration du Mat\u00e9riau au Syst\u00e8me","ror":"https://ror.org/04nabhy78","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210091158","https://openalex.org/I4210095849","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julien Fran\u00e7ois","raw_affiliation_strings":["Univ. Bordeaux, CNRS, Bordeaux INP, IMS, UMR 5218, Talence, F-33400, France","IMS - Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me (33405 TALENCE CEDEX - France)"],"raw_orcid":"https://orcid.org/0000-0002-9537-6806","affiliations":[{"raw_affiliation_string":"Univ. Bordeaux, CNRS, Bordeaux INP, IMS, UMR 5218, Talence, F-33400, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"IMS - Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me (33405 TALENCE CEDEX - France)","institution_ids":["https://openalex.org/I4210157089","https://openalex.org/I4210160189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065524980","display_name":"R\u00e9my Dupas","orcid":"https://orcid.org/0000-0003-3882-7305"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210157089","display_name":"Laboratoire de l'Int\u00e9gration du Mat\u00e9riau au Syst\u00e8me","ror":"https://ror.org/04nabhy78","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210091158","https://openalex.org/I4210095849","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"R\u00e9my Dupas","raw_affiliation_strings":["Univ. Bordeaux, CNRS, Bordeaux INP, IMS, UMR 5218, Talence, F-33400, France","IMS - Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me (33405 TALENCE CEDEX - France)","UB - Universit\u00e9 de Bordeaux (35, place Pey Berland - 33076 Bordeaux - France)"],"raw_orcid":"https://orcid.org/0000-0003-3882-7305","affiliations":[{"raw_affiliation_string":"Univ. Bordeaux, CNRS, Bordeaux INP, IMS, UMR 5218, Talence, F-33400, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"IMS - Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me (33405 TALENCE CEDEX - France)","institution_ids":["https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"UB - Universit\u00e9 de Bordeaux (35, place Pey Berland - 33076 Bordeaux - France)","institution_ids":["https://openalex.org/I15057530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5098767857"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189","https://openalex.org/I4210166017"],"apc_list":{"value":3210,"currency":"USD","value_usd":3210},"apc_paid":{"value":3210,"currency":"USD","value_usd":3210},"fwci":2.2888,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88236119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"173","issue":null,"first_page":"106869","last_page":"106869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9994000196456909,"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":0.9994000196456909,"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T12546","display_name":"Smart Parking Systems Research","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.7325103878974915},{"id":"https://openalex.org/keywords/drone","display_name":"Drone","score":0.7173089981079102},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.6048234105110168},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.5467362403869629},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5341182351112366},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.507007360458374},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.47060665488243103},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.42171624302864075},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.35976889729499817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2928411364555359},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10666531324386597}],"concepts":[{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.7325103878974915},{"id":"https://openalex.org/C59519942","wikidata":"https://www.wikidata.org/wiki/Q650665","display_name":"Drone","level":2,"score":0.7173089981079102},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.6048234105110168},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.5467362403869629},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5341182351112366},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.507007360458374},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.47060665488243103},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.42171624302864075},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.35976889729499817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2928411364555359},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10666531324386597},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.cor.2024.106869","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cor.2024.106869","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04584429v2","is_oa":true,"landing_page_url":"https://hal.science/hal-04584429","pdf_url":"https://hal.science/hal-04584429v2/document","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":"Computers and Operations Research, 2025, 173, pp.106869. &#x27E8;10.1016/j.cor.2024.106869&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/j.cor.2024.106869","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cor.2024.106869","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322727","display_name":"Minist\u00e8re de l'Education Nationale, de l'Enseignement Superieur et de la Recherche","ror":"https://ror.org/03sjk9a61"},{"id":"https://openalex.org/F4320326715","display_name":"Minist\u00e8re de l'Enseignement sup\u00e9rieur, de la Recherche et de l'Innovation","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W640645692","https://openalex.org/W1488422606","https://openalex.org/W1576380096","https://openalex.org/W1965032790","https://openalex.org/W1977319619","https://openalex.org/W2017070898","https://openalex.org/W2066878540","https://openalex.org/W2082153300","https://openalex.org/W2096305430","https://openalex.org/W2111658959","https://openalex.org/W2222122796","https://openalex.org/W2342478160","https://openalex.org/W2471190594","https://openalex.org/W2518529723","https://openalex.org/W2590357187","https://openalex.org/W2621937623","https://openalex.org/W2622743854","https://openalex.org/W2625859466","https://openalex.org/W2754599614","https://openalex.org/W2761340423","https://openalex.org/W2765155884","https://openalex.org/W2765355161","https://openalex.org/W2771869457","https://openalex.org/W2795529860","https://openalex.org/W2898326709","https://openalex.org/W2910105989","https://openalex.org/W2915338839","https://openalex.org/W2921047495","https://openalex.org/W2927378423","https://openalex.org/W2928814937","https://openalex.org/W2943166133","https://openalex.org/W2947430481","https://openalex.org/W2998391831","https://openalex.org/W3015829695","https://openalex.org/W3032947628","https://openalex.org/W3037819751","https://openalex.org/W3044911583","https://openalex.org/W3084064394","https://openalex.org/W3121017033","https://openalex.org/W3125377832","https://openalex.org/W3126942265","https://openalex.org/W3130612522","https://openalex.org/W3193644409","https://openalex.org/W3215148040","https://openalex.org/W4213318779","https://openalex.org/W4226314371","https://openalex.org/W4312059606","https://openalex.org/W4313593040","https://openalex.org/W4321487121","https://openalex.org/W4386906053","https://openalex.org/W4391180110","https://openalex.org/W6600411756","https://openalex.org/W6629144528","https://openalex.org/W6678547830","https://openalex.org/W6746623898","https://openalex.org/W6768609892"],"related_works":["https://openalex.org/W2769220156","https://openalex.org/W2009796757","https://openalex.org/W4210880521","https://openalex.org/W4302819359","https://openalex.org/W2941114593","https://openalex.org/W4252122881","https://openalex.org/W3006617646","https://openalex.org/W2769538987","https://openalex.org/W4300803591","https://openalex.org/W1968202374"],"abstract_inverted_index":{"We":[0,47],"present":[1],"a":[2,40,113],"new":[3,138],"set-partitioning":[4,139],"model":[5,38],"for":[6,43,159],"the":[7,37,44,53,72,85,92,99,105,120,123,160],"two-echelon":[8],"vehicle":[9],"routing":[10],"problem":[11,162],"with":[12,132],"drones":[13],"(2E-VRP-D).":[14],"In":[15,75],"this":[16,62],"model,":[17],"partial":[18],"routes":[19],"corresponding":[20],"to":[21,60,70,118],"drone":[22],"movements":[23],"are":[24,180],"enumerated":[25],"by":[26],"an":[27,50,79],"efficient":[28],"dynamic":[29],"program.":[30],"A":[31,137,144],"state-of-the-art":[32],"exact":[33,86,93,167],"branch-cut-and-price":[34,82],"algorithm":[35,42,94,168],"solves":[36,95,169],"using":[39],"labeling":[41],"pricing":[45],"problems.":[46],"further":[48],"propose":[49,78],"adaptation":[51,155],"of":[52,107,122,156,176],"well-known":[54],"rounded":[55],"capacity":[56],"cuts,":[57],"specifically":[58],"tailored":[59],"address":[61],"problem,":[63],"as":[64,66],"well":[65],"pre-processing":[67],"methods":[68],"designed":[69],"enhance":[71],"algorithm\u2019s":[73],"efficiency.":[74],"addition,":[76],"we":[77],"effective":[80],"heuristic":[81,145],"based":[83,147],"on":[84,148],"algorithm.":[87],"Computational":[88],"experiments":[89],"demonstrate":[90],"that":[91],"all":[96,170],"instances":[97,179],"from":[98],"2E-VRP-D":[100],"literature":[101,171],"and":[102],"significantly":[103],"increases":[104],"size":[106,178],"optimally":[108],"solved":[109],"clustered":[110],"instances.":[111,172],"Finally,":[112],"sensitivity":[114],"analysis":[115],"is":[116,134,141,151,163],"conducted":[117],"assess":[119],"impact":[121],"proposed":[124],"enhancements.":[125],"\u2022":[126,136,143,153,165,173],"The":[127,166],"Two-Echelon":[128],"Vehicle":[129],"Routing":[130],"Problem":[131],"Drones":[133],"considered.":[135],"formulation":[140],"proposed.":[142,152,164],"procedure":[146],"graph":[149],"shrinking":[150],"An":[154],"cutting":[157],"planes":[158],"specific":[161],"New":[174],"datasets":[175],"larger":[177],"presented.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}
