{"id":"https://openalex.org/W2991645070","doi":"https://doi.org/10.1080/00207543.2019.1695167","title":"Benders' decomposition for robust travel time-constrained inventory routing problem","display_name":"Benders' decomposition for robust travel time-constrained inventory routing problem","publication_year":2019,"publication_date":"2019-11-27","ids":{"openalex":"https://openalex.org/W2991645070","doi":"https://doi.org/10.1080/00207543.2019.1695167","mag":"2991645070"},"language":"en","primary_location":{"id":"doi:10.1080/00207543.2019.1695167","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2019.1695167","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production 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/A5084987625","display_name":"Wouter Lefever","orcid":"https://orcid.org/0000-0001-8622-4088"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Wouter Lefever","raw_affiliation_strings":["Department of Industrial Systems Engineering and Product Design, Ghent University, Zwijnaarde, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Systems Engineering and Product Design, Ghent University, Zwijnaarde, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075857247","display_name":"Fay\u00e7al A. Touzout","orcid":"https://orcid.org/0000-0003-3079-6356"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I48430043","display_name":"Institut National des Sciences Appliqu\u00e9es de Lyon","ror":"https://ror.org/050jn9y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Faycal A. Touzout","raw_affiliation_strings":["Univ. Lyon, INSA Lyon, DISP, Villeurbanne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Lyon, INSA Lyon, DISP, Villeurbanne, France","institution_ids":["https://openalex.org/I48430043","https://openalex.org/I100532134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090632699","display_name":"Khaled Hadj-Hamou","orcid":"https://orcid.org/0000-0002-1223-3392"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I48430043","display_name":"Institut National des Sciences Appliqu\u00e9es de Lyon","ror":"https://ror.org/050jn9y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Khaled Hadj-Hamou","raw_affiliation_strings":["Univ. Lyon, INSA Lyon, DISP, Villeurbanne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Lyon, INSA Lyon, DISP, Villeurbanne, France","institution_ids":["https://openalex.org/I48430043","https://openalex.org/I100532134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034176707","display_name":"El\u2010Houssaine Aghezzaf","orcid":"https://orcid.org/0000-0003-3849-2218"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]},{"id":"https://openalex.org/I4210116480","display_name":"Flanders Make (Belgium)","ror":"https://ror.org/02ndjfz59","country_code":"BE","type":"company","lineage":["https://openalex.org/I4210116480"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"El-Houssaine Aghezzaf","raw_affiliation_strings":["Department of Industrial Systems Engineering and Product Design, Ghent University, Zwijnaarde, Belgium","Industrial Systems Engineering (ISyE), Flanders Make, Belgium"],"raw_orcid":"https://orcid.org/0000-0003-3849-2218","affiliations":[{"raw_affiliation_string":"Department of Industrial Systems Engineering and Product Design, Ghent University, Zwijnaarde, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Industrial Systems Engineering (ISyE), Flanders Make, Belgium","institution_ids":["https://openalex.org/I4210116480"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090632699"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I48430043"],"apc_list":null,"apc_paid":null,"fwci":1.7663,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.87878099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"59","issue":"2","first_page":"342","last_page":"366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9995999932289124,"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":0.9995999932289124,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/benders-decomposition","display_name":"Benders' decomposition","score":0.8110156059265137},{"id":"https://openalex.org/keywords/arc-routing","display_name":"Arc routing","score":0.7578570246696472},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6628550291061401},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.588922381401062},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5268372893333435},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5173391699790955},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5103749632835388},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.5016331672668457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.444139301776886},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4274149239063263},{"id":"https://openalex.org/keywords/duration","display_name":"Duration (music)","score":0.4265821576118469},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37900394201278687}],"concepts":[{"id":"https://openalex.org/C27665512","wikidata":"https://www.wikidata.org/wiki/Q3042795","display_name":"Benders' decomposition","level":2,"score":0.8110156059265137},{"id":"https://openalex.org/C2778536092","wikidata":"https://www.wikidata.org/wiki/Q4785038","display_name":"Arc routing","level":3,"score":0.7578570246696472},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6628550291061401},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.588922381401062},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5268372893333435},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5173391699790955},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5103749632835388},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.5016331672668457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.444139301776886},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4274149239063263},{"id":"https://openalex.org/C112758219","wikidata":"https://www.wikidata.org/wiki/Q16038819","display_name":"Duration (music)","level":2,"score":0.4265821576118469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37900394201278687},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00207543.2019.1695167","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2019.1695167","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02452673v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02452673","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":"International Journal of Production Research, 2021, 59 (2), pp.342-366. ⟨10.1080/00207543.2019.1695167⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:taf:tprsxx:v:59:y:2021:i:2:p:342-366","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207543.2019.1695167","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"},{"id":"pmh:oai:archive.ugent.be:8637144","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/8637144","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH","raw_type":"journalArticle"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1832376799","https://openalex.org/W1986925696","https://openalex.org/W1989780284","https://openalex.org/W1990275757","https://openalex.org/W1994817915","https://openalex.org/W2010359686","https://openalex.org/W2013140409","https://openalex.org/W2016811480","https://openalex.org/W2020219826","https://openalex.org/W2028562918","https://openalex.org/W2029655305","https://openalex.org/W2050280061","https://openalex.org/W2067948003","https://openalex.org/W2069049565","https://openalex.org/W2086371615","https://openalex.org/W2089105401","https://openalex.org/W2114778474","https://openalex.org/W2115462699","https://openalex.org/W2118578357","https://openalex.org/W2121266360","https://openalex.org/W2127654349","https://openalex.org/W2136871443","https://openalex.org/W2163551942","https://openalex.org/W2165775468","https://openalex.org/W2184627981","https://openalex.org/W2285550679","https://openalex.org/W2321035786","https://openalex.org/W2338230824","https://openalex.org/W2340670618","https://openalex.org/W2398537846","https://openalex.org/W2408928749","https://openalex.org/W2742361935","https://openalex.org/W2762212021","https://openalex.org/W2802765707","https://openalex.org/W2807481151","https://openalex.org/W3124277730","https://openalex.org/W4206323677","https://openalex.org/W4297910279"],"related_works":["https://openalex.org/W1997401436","https://openalex.org/W2154206168","https://openalex.org/W2355937913","https://openalex.org/W2145447445","https://openalex.org/W2257455891","https://openalex.org/W2974075905","https://openalex.org/W2007529666","https://openalex.org/W2403729554","https://openalex.org/W2991645070","https://openalex.org/W2999054582"],"abstract_inverted_index":{"The":[0,150],"time-constrained":[1],"inventory":[2,12],"routing":[3,13],"problem":[4,14,132],"(TCIRP)":[5],"is":[6,63,94,160],"a":[7,25,38,81,89,108],"variant":[8],"of":[9,92,101,152],"the":[10,35,51,54,59,99,102,116,121,128,139,153,157],"standard":[11,144],"(IRP),":[15],"in":[16,40,68,171],"which":[17,41],"each":[18],"vehicle's":[19],"trip":[20],"duration":[21,28],"must":[22],"not":[23,168],"exceed":[24],"predefined":[26],"maximum":[27],"limit.":[29],"In":[30,47],"this":[31,79],"paper,":[32],"we":[33,49,106,113],"consider":[34],"TCIRP":[36],"on":[37,58],"network":[39],"arc":[42,60],"travel":[43,61],"times":[44,62],"are":[45,167],"uncertain.":[46],"particular,":[48],"investigate":[50],"case":[52],"where":[53],"only":[55],"available":[56],"information":[57],"that":[64,85,127,156,166],"they":[65],"take":[66],"values":[67],"symmetric":[69],"and":[70],"bounded":[71],"intervals":[72],"around":[73],"their":[74],"mean":[75],"values.":[76],"To":[77,96],"solve":[78],"problem,":[80],"robust":[82,104,148,164],"optimisation":[83],"approach":[84,141],"generates":[86],"solutions":[87,165],"with":[88,98,142],"controlled":[90],"level":[91],"conservatism":[93],"implemented.":[95],"cope":[97],"complexity":[100],"resulting":[103],"counterpart,":[105],"develop":[107],"Benders'":[109,129],"decomposition-based":[110],"heuristic.":[111],"Furthermore,":[112],"describe":[114],"how":[115],"valid":[117],"inequalities":[118],"developed":[119],"for":[120,146],"IRP":[122],"can":[123,133],"be":[124,134],"strengthened":[125],"so":[126],"decomposition":[130],"master":[131],"solved":[135],"effectively.":[136],"We":[137],"compare":[138],"proposed":[140,158],"two":[143],"approaches":[145],"finding":[147],"solutions.":[149],"analysis":[151],"results":[154],"show":[155],"method":[159],"able":[161],"to":[162],"find":[163],"too":[169],"conservative":[170],"reasonable":[172],"time.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}