{"id":"https://openalex.org/W3097627130","doi":"https://doi.org/10.1007/s10288-020-00461-y","title":"Mixed integer programming formulations for the generalized traveling salesman problem with time windows","display_name":"Mixed integer programming formulations for the generalized traveling salesman problem with time windows","publication_year":2020,"publication_date":"2020-10-31","ids":{"openalex":"https://openalex.org/W3097627130","doi":"https://doi.org/10.1007/s10288-020-00461-y","mag":"3097627130"},"language":"en","primary_location":{"id":"doi:10.1007/s10288-020-00461-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-020-00461-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"4OR","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/A5007259430","display_name":"Yuan Yuan","orcid":"https://orcid.org/0000-0002-5072-2672"},"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/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Yuan Yuan","raw_affiliation_strings":["CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","Integrated Optimization with Complex Structure"],"raw_orcid":"https://orcid.org/0000-0002-5072-2672","affiliations":[{"raw_affiliation_string":"CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I7454413","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Integrated Optimization with Complex Structure","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012150281","display_name":"Diego Cattaruzza","orcid":"https://orcid.org/0000-0002-1814-2547"},"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/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Diego Cattaruzza","raw_affiliation_strings":["CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","Integrated Optimization with Complex Structure"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I7454413","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Integrated Optimization with Complex Structure","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000672543","display_name":"Maxime Ogier","orcid":"https://orcid.org/0000-0002-8503-7632"},"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/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Maxime Ogier","raw_affiliation_strings":["CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","Integrated Optimization with Complex Structure"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I7454413","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Integrated Optimization with Complex Structure","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058327606","display_name":"Cyriaque Rousselot","orcid":null},"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/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cyriaque Rousselot","raw_affiliation_strings":["CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","Integrated Optimization with Complex Structure"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I7454413","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Integrated Optimization with Complex Structure","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079769970","display_name":"Fr\u00e9d\u00e9ric Semet","orcid":"https://orcid.org/0000-0002-1334-5417"},"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/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Semet","raw_affiliation_strings":["CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","Integrated Optimization with Complex Structure"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL Lille, Univ. Lille, Lille, France","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I7454413","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Integrated Optimization with Complex Structure","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5007259430"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I7454413"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9032,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80471199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"4","first_page":"571","last_page":"592"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9754999876022339,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.8600049614906311},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7294164896011353},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6738488674163818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5761286616325378},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.568792462348938},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.559573769569397},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.502964198589325},{"id":"https://openalex.org/keywords/window","display_name":"Window (computing)","score":0.4751075208187103},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.46225422620773315},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4544329047203064},{"id":"https://openalex.org/keywords/bottleneck-traveling-salesman-problem","display_name":"Bottleneck traveling salesman problem","score":0.4510931968688965},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.4215843975543976},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40547817945480347},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3830382823944092},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3199501931667328}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.8600049614906311},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7294164896011353},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6738488674163818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5761286616325378},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.568792462348938},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.559573769569397},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.502964198589325},{"id":"https://openalex.org/C2778751112","wikidata":"https://www.wikidata.org/wiki/Q835016","display_name":"Window (computing)","level":2,"score":0.4751075208187103},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.46225422620773315},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4544329047203064},{"id":"https://openalex.org/C7668213","wikidata":"https://www.wikidata.org/wiki/Q4949085","display_name":"Bottleneck traveling salesman problem","level":3,"score":0.4510931968688965},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.4215843975543976},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40547817945480347},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3830382823944092},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3199501931667328},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10288-020-00461-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-020-00461-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"4OR","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03116606v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03116606","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"4OR: A Quarterly Journal of Operations Research, 2021, 19, pp.571-592. ⟨10.1007/s10288-020-00461-y⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:aqjoor:v:19:y:2021:i:4:d:10.1007_s10288-020-00461-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10288-020-00461-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6600000262260437,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G6587238779","display_name":null,"funder_award_id":"201604490024","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W18604930","https://openalex.org/W1977129671","https://openalex.org/W1998126277","https://openalex.org/W2018269848","https://openalex.org/W2040678783","https://openalex.org/W2049287714","https://openalex.org/W2059768321","https://openalex.org/W2093517413","https://openalex.org/W2158762372","https://openalex.org/W2566897969","https://openalex.org/W2587833580","https://openalex.org/W2930154544","https://openalex.org/W3005757297"],"related_works":["https://openalex.org/W4376138746","https://openalex.org/W4389782626","https://openalex.org/W2361554335","https://openalex.org/W2171568915","https://openalex.org/W2125126715","https://openalex.org/W3144226417","https://openalex.org/W4365506312","https://openalex.org/W2105006450","https://openalex.org/W2018269848","https://openalex.org/W2392203420"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}