{"id":"https://openalex.org/W4393340594","doi":"https://doi.org/10.1080/00207543.2024.2334419","title":"A Benders decomposition algorithm for resource allocation with multi-resource operations","display_name":"A Benders decomposition algorithm for resource allocation with multi-resource operations","publication_year":2024,"publication_date":"2024-03-30","ids":{"openalex":"https://openalex.org/W4393340594","doi":"https://doi.org/10.1080/00207543.2024.2334419"},"language":"en","primary_location":{"id":"doi:10.1080/00207543.2024.2334419","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2024.2334419","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/A5006365566","display_name":"Wuyan Weng","orcid":null},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wuyan Weng","raw_affiliation_strings":["School of Economics and Management, Fuzhou University, Fuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Fuzhou University, Fuzhou, People's Republic of China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100741513","display_name":"Chengbin Chu","orcid":"https://orcid.org/0000-0002-1837-4380"},"institutions":[{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4387154752","display_name":"ESIEE Paris","ror":"https://ror.org/04x383a88","country_code":"FR","type":"education","lineage":["https://openalex.org/I2801673036","https://openalex.org/I4210154111","https://openalex.org/I4387154752"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Chengbin Chu","raw_affiliation_strings":["Univ Gustave Eiffel, ESIEE Paris & COSYS-GRETTIA, Marne-la-Vall\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Gustave Eiffel, ESIEE Paris & COSYS-GRETTIA, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210154111","https://openalex.org/I4387154752"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046523454","display_name":"Peng Wu","orcid":"https://orcid.org/0000-0001-6259-4703"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Wu","raw_affiliation_strings":["School of Economics and Management, Fuzhou University, Fuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Fuzhou University, Fuzhou, People's Republic of China","institution_ids":["https://openalex.org/I80947539"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100741513"],"corresponding_institution_ids":["https://openalex.org/I4210154111","https://openalex.org/I4387154752"],"apc_list":null,"apc_paid":null,"fwci":1.1257,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79104838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"62","issue":"21","first_page":"7981","last_page":"7997"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","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/T10551","display_name":"Scheduling and Optimization Algorithms","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/T12288","display_name":"Optimization and Search Problems","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9922999739646912,"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/benders-decomposition","display_name":"Benders' decomposition","score":0.6157853007316589},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6066322326660156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5916448831558228},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.5577973127365112},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.5457070469856262},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4692442715167999},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3972508907318115},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.383213609457016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1993786096572876},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.136184424161911}],"concepts":[{"id":"https://openalex.org/C27665512","wikidata":"https://www.wikidata.org/wiki/Q3042795","display_name":"Benders' decomposition","level":2,"score":0.6157853007316589},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6066322326660156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5916448831558228},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.5577973127365112},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.5457070469856262},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4692442715167999},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3972508907318115},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.383213609457016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1993786096572876},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.136184424161911},{"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":2,"locations":[{"id":"doi:10.1080/00207543.2024.2334419","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2024.2334419","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:RePEc:taf:tprsxx:v:62:y:2024:i:21:p:7981-7997","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207543.2024.2334419","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":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G7224934658","display_name":null,"funder_award_id":"71871159, 71701049, 71901069","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W48246096","https://openalex.org/W1931616235","https://openalex.org/W1970176495","https://openalex.org/W1979691295","https://openalex.org/W1986415048","https://openalex.org/W1990248249","https://openalex.org/W2015067034","https://openalex.org/W2019270990","https://openalex.org/W2020766844","https://openalex.org/W2029314916","https://openalex.org/W2030086529","https://openalex.org/W2039844430","https://openalex.org/W2044121814","https://openalex.org/W2048135710","https://openalex.org/W2051592714","https://openalex.org/W2052457629","https://openalex.org/W2052693123","https://openalex.org/W2053246277","https://openalex.org/W2057295499","https://openalex.org/W2059180678","https://openalex.org/W2061200067","https://openalex.org/W2061929703","https://openalex.org/W2076716919","https://openalex.org/W2077153562","https://openalex.org/W2089465700","https://openalex.org/W2093118612","https://openalex.org/W2095044751","https://openalex.org/W2096302562","https://openalex.org/W2147278026","https://openalex.org/W2149667054","https://openalex.org/W2157158960","https://openalex.org/W2196306096","https://openalex.org/W2229920647","https://openalex.org/W2263946527","https://openalex.org/W2469165122","https://openalex.org/W2514685108","https://openalex.org/W2577909561","https://openalex.org/W2901931945","https://openalex.org/W2908690890","https://openalex.org/W2919801092","https://openalex.org/W2936240487","https://openalex.org/W2948098966","https://openalex.org/W2970875053","https://openalex.org/W3042781239","https://openalex.org/W3082377584","https://openalex.org/W3191976825","https://openalex.org/W4253510685","https://openalex.org/W4290999010","https://openalex.org/W4297106221","https://openalex.org/W4319320939"],"related_works":["https://openalex.org/W2053778299","https://openalex.org/W1999075162","https://openalex.org/W2157084626","https://openalex.org/W2064783481","https://openalex.org/W2349839433","https://openalex.org/W2803135057","https://openalex.org/W2047747388","https://openalex.org/W4236859340","https://openalex.org/W2625545162","https://openalex.org/W2033726889"],"abstract_inverted_index":{"This":[0,97],"paper":[1,98],"addresses":[2],"a":[3,40,48,52,121,130,160,208,246],"real":[4],"life":[5],"scheduling":[6,108],"problem":[7,41,158,188,198],"characterised":[8],"by":[9,241,285,314],"multi-resource":[10],"operations":[11,93],"whose":[12],"completion":[13,118],"simultaneously":[14],"requires":[15,77],"more":[16,56,304],"than":[17,57],"one":[18,58],"(renewable)":[19],"resource":[20,59,90,141],"of":[21,69,83,112,140,150,223,236,307,317,322],"different":[22],"types.":[23,64],"Such":[24],"problems":[25,109],"arise":[26],"in":[27,32,36,62,87,170,207,230,267,290,328],"various":[28],"companies":[29],"not":[30],"only":[31,189],"manufacturing":[33],"but":[34],"also":[35,296],"services.":[37],"Solving":[38],"such":[39],"needs":[42],"to":[43,71,95,252],"address":[44],"two":[45],"interconnected":[46],"subproblems:":[47],"sequencing":[49,80],"subproblem":[50,54,67,81],"and":[51,143,210,270,282,287,309,319],"resource-allocation":[53,66,102],"if":[55],"is":[60,183,239,325],"available":[61],"some":[63],"The":[65,234,258,294],"consists":[68,82],"allocating":[70],"each":[72,89],"operation":[73],"the":[74,79,85,92,101,106,114,136,138,144,148,151,157,186,196,204,216,221,224,231,237,255,280],"resources":[75,149,308],"it":[76,243,275],"while":[78],"determining":[84,113],"order":[86],"which":[88,110,324],"performs":[91],"assigned":[94],"it.":[96],"focuses":[99],"on":[100],"subproblem.":[103],"It":[104],"generalises":[105],"basic":[107],"consist":[111],"operations'":[115],"starting":[116],"or":[117],"times":[119],"for":[120,125],"given":[122],"processing":[123],"sequence":[124],"every":[126],"resource.":[127],"We":[128,154,193],"consider":[129],"cost":[131,139],"function":[132],"taking":[133],"into":[134,159,202],"account":[135],"makespan,":[137],"utilisation,":[142],"load":[145,300],"imbalance":[146],"among":[147],"same":[152],"type.":[153],"first":[155],"formulate":[156],"mixed-integer":[161],"linear":[162],"program":[163],"(MILP).":[164],"To":[165,219],"efficiently":[166],"solve":[167,254],"it,":[168],"even":[169],"practical-sized":[171,292],"instances,":[172],"an":[173],"exact":[174],"algorithm":[175],"called":[176],"BD":[177,263],"(Benders":[178],"decomposition":[179],"with":[180,215,278],"enhancing":[181],"cuts)":[182],"developed":[184],"where":[185],"master":[187,232],"considers":[190],"integer":[191],"variables.":[192],"prove":[194],"that":[195,262,298],"slave":[197],"can":[199,212,302],"be":[200,213],"transformed":[201],"finding":[203],"longest":[205],"paths":[206],"digraph":[209],"therefore":[211],"solved":[214],"Bellman\u2013Ford":[217],"algorithm.":[218],"enhance":[220],"efficiency":[222],"method,":[225],"equivalent":[226],"solutions":[227,266],"are":[228],"limited":[229],"problem.":[233],"performance":[235],"approach":[238],"evaluated":[240],"comparing":[242],"against":[244],"CPLEX,":[245,279],"state-of-the-art":[247],"commonplace":[248],"MILP":[249],"solver,":[250],"used":[251],"directly":[253],"initial":[256],"MILP.":[257],"computational":[259],"results":[260],"demonstrate":[261],"provides":[264],"competitive":[265],"all":[268],"upper":[269,281],"lower":[271,283],"bounds.":[272],"In":[273],"particular,":[274],"improves,":[276],"compared":[277],"bounds":[284],"5.07%":[286],"4.63%,":[288],"respectively,":[289],"solving":[291],"instances.":[293],"experiment":[295],"shows":[297],"considering":[299],"balancing":[301],"make":[303],"rational":[305],"use":[306,321],"avoid":[310],"adverse":[311],"effects":[312],"caused":[313],"excessive":[315],"workload":[316],"staff":[318],"imbalanced":[320],"equipment,":[323],"very":[326],"important":[327],"real-world":[329],"production.":[330]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}