{"id":"https://openalex.org/W4412873087","doi":"https://doi.org/10.1007/s10589-025-00713-9","title":"The Capacitated Vehicle Routing Problem with Planned Downtime","display_name":"The Capacitated Vehicle Routing Problem with Planned Downtime","publication_year":2025,"publication_date":"2025-07-19","ids":{"openalex":"https://openalex.org/W4412873087","doi":"https://doi.org/10.1007/s10589-025-00713-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-025-00713-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00713-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00713-9.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00713-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054879934","display_name":"Mercedes Landete","orcid":null},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mercedes Landete","raw_affiliation_strings":["University Miguel Hern\u00e1ndez, Elche, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Miguel Hern\u00e1ndez, Elche, Spain","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068781128","display_name":"Marina Leal","orcid":null},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Marina Leal","raw_affiliation_strings":["University Miguel Hern\u00e1ndez, Elche, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Miguel Hern\u00e1ndez, Elche, Spain","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016301623","display_name":"Juan F. Monge","orcid":"https://orcid.org/0000-0003-1224-1867"},"institutions":[{"id":"https://openalex.org/I111262870","display_name":"Universitat de Miguel Hern\u00e1ndez d'Elx","ror":"https://ror.org/01azzms13","country_code":"ES","type":"education","lineage":["https://openalex.org/I111262870"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan Francisco Monge","raw_affiliation_strings":["University Miguel Hern\u00e1ndez, Elche, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Miguel Hern\u00e1ndez, Elche, Spain","institution_ids":["https://openalex.org/I111262870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010165929","display_name":"Inmaculada Rodr\u0131\u0301guez-Mart\u0131\u0301n","orcid":"https://orcid.org/0000-0003-4877-733X"},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Inmaculada Rodr\u00edguez-Mart\u00edn","raw_affiliation_strings":["Faculty of Science, IMAULL, University of La Laguna, P.O. box 456, 38200, Tenerife, La Laguna, Spain"],"raw_orcid":"https://orcid.org/0000-0003-4877-733X","affiliations":[{"raw_affiliation_string":"Faculty of Science, IMAULL, University of La Laguna, P.O. box 456, 38200, Tenerife, La Laguna, Spain","institution_ids":["https://openalex.org/I158438070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010165929"],"corresponding_institution_ids":["https://openalex.org/I158438070"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.0417,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.80666817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"92","issue":"2","first_page":"655","last_page":"681"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9984999895095825,"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/T12288","display_name":"Optimization and Search Problems","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/downtime","display_name":"Downtime","score":0.8602724075317383},{"id":"https://openalex.org/keywords/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.8357220888137817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6909773349761963},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5285574197769165},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.4887787997722626},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.37227851152420044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1788080930709839},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.13511845469474792}],"concepts":[{"id":"https://openalex.org/C180591934","wikidata":"https://www.wikidata.org/wiki/Q1253369","display_name":"Downtime","level":2,"score":0.8602724075317383},{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.8357220888137817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6909773349761963},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5285574197769165},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.4887787997722626},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.37227851152420044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1788080930709839},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.13511845469474792},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10589-025-00713-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00713-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00713-9.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10589-025-00713-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-025-00713-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-025-00713-9.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G190121446","display_name":null,"funder_award_id":"PID2021-122344NB-I00","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G3690828678","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320315877","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25"},{"id":"https://openalex.org/F4320321864","display_name":"Generalitat Valenciana","ror":"https://ror.org/0097mvx21"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412873087.pdf","grobid_xml":"https://content.openalex.org/works/W4412873087.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1663519530","https://openalex.org/W1969966185","https://openalex.org/W1970224963","https://openalex.org/W1983945124","https://openalex.org/W1984974506","https://openalex.org/W2017070898","https://openalex.org/W2029242918","https://openalex.org/W2031236641","https://openalex.org/W2062512894","https://openalex.org/W2111563176","https://openalex.org/W2112686410","https://openalex.org/W2129302043","https://openalex.org/W2492891489","https://openalex.org/W2538943139","https://openalex.org/W2786238202","https://openalex.org/W3010138084","https://openalex.org/W3157498319","https://openalex.org/W3187269752","https://openalex.org/W4252801674","https://openalex.org/W4256246856","https://openalex.org/W4310273242"],"related_works":["https://openalex.org/W2046276983","https://openalex.org/W2954002293","https://openalex.org/W2892741875","https://openalex.org/W2164372000","https://openalex.org/W2078264086","https://openalex.org/W2109143577","https://openalex.org/W1985537075","https://openalex.org/W2161582432","https://openalex.org/W1972812226","https://openalex.org/W1966197055"],"abstract_inverted_index":{"Abstract":[0],"The":[1,127],"Capacitated":[2],"Vehicle":[3],"Routing":[4],"Problem":[5],"with":[6,144],"Planned":[7],"Downtime":[8],"introduced":[9],"in":[10,22,86],"this":[11,96],"work":[12],"is":[13,61,79,138],"a":[14,54],"generalization":[15],"of":[16,26,40,53,112],"the":[17,38,41,50,65,68,90,93,101,134],"classical":[18],"vehicle":[19],"routing":[20,57],"problem":[21],"which":[23],"two":[24,69,104],"sets":[25],"routes":[27,66],"have":[28],"to":[29,88,146],"be":[30],"jointly":[31],"designed:":[32],"one":[33,78,111,137],"set":[34,47],"considering":[35],"that":[36,48,64],"all":[37,72],"vehicles":[39,73],"fleet":[42],"are":[43,74,81,129],"available,":[44],"and":[45,76,118,132,149],"another":[46],"considers":[49],"scheduled":[51],"unavailability":[52],"vehicle.":[55],"Besides":[56],"cost":[58],"minimization,":[59],"it":[60],"also":[62],"intended":[63],"for":[67,109],"cases":[70],"(when":[71],"available":[75],"when":[77],"missing)":[80],"as":[82,84],"similar":[83],"possible":[85],"order":[87],"reduce":[89],"impact":[91],"on":[92,115,124,140],"customers.":[94],"In":[95],"paper,":[97],"we":[98],"formally":[99],"define":[100],"problem,":[102],"propose":[103],"mixed":[105],"integer":[106],"programming":[107],"models":[108],"it,":[110],"them":[113],"based":[114,123],"bilevel":[116],"programming,":[117],"devise":[119],"exact":[120],"branch-and-cut":[121],"algorithms":[122,128],"those":[125],"models.":[126],"first":[130],"compared,":[131],"then":[133],"most":[135],"efficient":[136],"tested":[139],"different":[141],"benchmark":[142],"instances":[143],"up":[145],"40":[147],"nodes":[148],"5":[150],"vehicles.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-11T08:15:01.531666","created_date":"2025-10-10T00:00:00"}