{"id":"https://openalex.org/W2469608726","doi":"https://doi.org/10.1051/ro/2016048","title":"Solving the bi-objective Robust Vehicle Routing Problem with uncertain costs and demands","display_name":"Solving the bi-objective Robust Vehicle Routing Problem with uncertain costs and demands","publication_year":2016,"publication_date":"2016-07-06","ids":{"openalex":"https://openalex.org/W2469608726","doi":"https://doi.org/10.1051/ro/2016048","mag":"2469608726"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2016048","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2016048","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.numdam.org/item/10.1051/ro/2016048.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087395856","display_name":"Elyn L. Solano\u2010Charris","orcid":"https://orcid.org/0000-0002-0549-7058"},"institutions":[{"id":"https://openalex.org/I157650460","display_name":"Universidad de La Sabana","ror":"https://ror.org/02sqgkj21","country_code":"CO","type":"education","lineage":["https://openalex.org/I157650460"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Elyn L. Solano-Charris","raw_affiliation_strings":["Escuela de Ciencias Econ\u00f3micas y Administrativas, Universidad de La Sabana, Km. 7, Autopista Norte, Ch\u00eda (Cundinamarca), Colombia","Universidad de La Sabana"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela de Ciencias Econ\u00f3micas y Administrativas, Universidad de La Sabana, Km. 7, Autopista Norte, Ch\u00eda (Cundinamarca), Colombia","institution_ids":["https://openalex.org/I157650460"]},{"raw_affiliation_string":"Universidad de La Sabana","institution_ids":["https://openalex.org/I157650460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017877687","display_name":"Christian Prins","orcid":"https://orcid.org/0000-0002-0184-0357"},"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/I140494188","display_name":"Universit\u00e9 de Technologie de Troyes","ror":"https://ror.org/01qhqcj41","country_code":"FR","type":"education","lineage":["https://openalex.org/I140494188"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christian Prins","raw_affiliation_strings":["ICD-LOSI, UMR CNRS 6281, Universit\u00e9 de Technologie de Troyes, 12 rue Marie Curie, CS 42060, 10004 Troyes cedex, France","Laboratoire d'Optimisation des Syst\u00e8mes Industriels"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICD-LOSI, UMR CNRS 6281, Universit\u00e9 de Technologie de Troyes, 12 rue Marie Curie, CS 42060, 10004 Troyes cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I140494188"]},{"raw_affiliation_string":"Laboratoire d'Optimisation des Syst\u00e8mes Industriels","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043894517","display_name":"Andr\u00e9a Cynthia Santos","orcid":"https://orcid.org/0000-0003-2497-4072"},"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/I140494188","display_name":"Universit\u00e9 de Technologie de Troyes","ror":"https://ror.org/01qhqcj41","country_code":"FR","type":"education","lineage":["https://openalex.org/I140494188"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andr\u00e9a Cynthia Santos","raw_affiliation_strings":["ICD-LOSI, UMR CNRS 6281, Universit\u00e9 de Technologie de Troyes, 12 rue Marie Curie, CS 42060, 10004 Troyes cedex, France","Laboratoire d'Optimisation des Syst\u00e8mes Industriels"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICD-LOSI, UMR CNRS 6281, Universit\u00e9 de Technologie de Troyes, 12 rue Marie Curie, CS 42060, 10004 Troyes cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I140494188"]},{"raw_affiliation_string":"Laboratoire d'Optimisation des Syst\u00e8mes Industriels","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"EUR","value_usd":0},"apc_paid":null,"fwci":1.515,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.84729711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"50","issue":"4-5","first_page":"689","last_page":"714"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11942","display_name":"Transportation and Mobility Innovations","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.7463874220848083},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7139439582824707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6000528335571289},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.5689383745193481},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5471639633178711},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5217072367668152},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5176549553871155},{"id":"https://openalex.org/keywords/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.47756630182266235},{"id":"https://openalex.org/keywords/arc-routing","display_name":"Arc routing","score":0.4369507431983948},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3595835268497467},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21547988057136536},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11258479952812195},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.091271311044693},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.07892212271690369}],"concepts":[{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.7463874220848083},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7139439582824707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6000528335571289},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.5689383745193481},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5471639633178711},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5217072367668152},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5176549553871155},{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.47756630182266235},{"id":"https://openalex.org/C2778536092","wikidata":"https://www.wikidata.org/wiki/Q4785038","display_name":"Arc routing","level":3,"score":0.4369507431983948},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3595835268497467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21547988057136536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11258479952812195},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.091271311044693},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.07892212271690369},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1051/ro/2016048","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2016048","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2016__50_4-5_689_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2016048/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2016048.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"},{"id":"pmh:oai:HAL:hal-02291632v1","is_oa":false,"landing_page_url":"https://utt.hal.science/hal-02291632","pdf_url":null,"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":"RAIRO - Operations Research, 2016, 50 (4-5), pp.689-714. ⟨10.1051/ro/2016048⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:intellectum.unisabana.edu.co:10818/37441","is_oa":true,"landing_page_url":"https://hdl.handle.net/10818/37441","pdf_url":null,"source":{"id":"https://openalex.org/S4306401748","display_name":"Intellectum (Universidad de La Sabana)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157650460","host_organization_name":"Universidad de La Sabana","host_organization_lineage":["https://openalex.org/I157650460"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Intellectum Repositorio Universidad de La Sabana","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":{"id":"pmh:oai:numdam.org:RO_2016__50_4-5_689_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2016048/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2016048.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2469608726.pdf","grobid_xml":"https://content.openalex.org/works/W2469608726.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W318545319","https://openalex.org/W1541527977","https://openalex.org/W1542437639","https://openalex.org/W1675674055","https://openalex.org/W1734628397","https://openalex.org/W1963888335","https://openalex.org/W1967547901","https://openalex.org/W1975378161","https://openalex.org/W1992108490","https://openalex.org/W2007208809","https://openalex.org/W2011116939","https://openalex.org/W2023964406","https://openalex.org/W2026220041","https://openalex.org/W2030293819","https://openalex.org/W2031901413","https://openalex.org/W2047175837","https://openalex.org/W2055424670","https://openalex.org/W2080032131","https://openalex.org/W2082809580","https://openalex.org/W2089105401","https://openalex.org/W2096305430","https://openalex.org/W2098907614","https://openalex.org/W2118666439","https://openalex.org/W2126105956","https://openalex.org/W2145847830","https://openalex.org/W2165775468","https://openalex.org/W2166364496","https://openalex.org/W2171328669","https://openalex.org/W2496394318","https://openalex.org/W2904250082","https://openalex.org/W4253347690","https://openalex.org/W6605492526"],"related_works":["https://openalex.org/W1822681810","https://openalex.org/W2737096452","https://openalex.org/W2473635752","https://openalex.org/W2355014420","https://openalex.org/W3006936859","https://openalex.org/W1987040457","https://openalex.org/W2378502887","https://openalex.org/W2184492720","https://openalex.org/W2365217312","https://openalex.org/W3215808204"],"abstract_inverted_index":{"In":[0],"this":[1,96],"paper,":[2],"a":[3,31,127],"bi-objective":[4],"Vehicle":[5],"Routing":[6],"Problem":[7],"(bi-RVRP)":[8],"with":[9,126],"uncertainty":[10],"in":[11,108],"both":[12],"demands":[13,25],"and":[14,81,138],"travel":[15,45],"times":[16,46],"is":[17,97],"studied":[18],"by":[19,30],"means":[20],"of":[21,34,64,78,122,161],"robust":[22],"optimization.":[23],"Uncertain":[24],"per":[26],"customer":[27,50],"are":[28,47,55,131,147],"modeled":[29],"discrete":[32,59],"set":[33],"scenarios":[35,60],"representing":[36],"the":[37,65,69,74,83,98,102,118,133,139,151,154,159,164],"deviations":[38],"from":[39,49],"an":[40],"expected":[41],"demand,":[42],"while":[43],"uncertain":[44],"independent":[48],"demands.":[51],"Then,":[52],"traffic":[53],"records":[54],"considered":[56],"to":[57,61,149],"get":[58],"each":[62],"arc":[63],"transportation":[66],"network.":[67],"Here,":[68],"bi-RVRP":[70,103],"aims":[71],"at":[72],"minimizing":[73,82],"worst":[75],"total":[76,85],"cost":[77],"traversed":[79],"arcs":[80],"maximum":[84],"unmet":[86],"demand":[87],"over":[88],"all":[89],"scenarios.":[90],"As":[91],"far":[92],"as":[93,156,158],"we":[94],"know,":[95],"first":[99],"study":[100],"for":[101,163],"which":[104],"finds":[105],"practical":[106],"applications":[107],"urban":[109],"transportation,":[110],"e.g.,":[111],"serving":[112],"small":[113],"retail":[114],"stores.":[115],"To":[116],"solve":[117],"problem,":[119],"different":[120,165],"variations":[121],"solution":[123],"approaches,":[124],"coupled":[125],"local":[128],"search":[129],"procedure":[130],"proposed:":[132],"Multiobjective":[134],"Evolutionary":[135],"Algorithm":[136,143],"(MOEA)":[137],"Non-dominated":[140],"Sorting":[141],"Genetic":[142],"(NSGAII).":[144],"Different":[145],"metrics":[146],"used":[148],"measure":[150],"algorithmic":[152],"performance,":[153],"convergence,":[155],"well":[157],"diversity":[160],"solutions":[162],"methods.":[166]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}