{"id":"https://openalex.org/W2109557004","doi":"https://doi.org/10.1287/mnsc.35.3.353","title":"Capacitated Lot Sizing with Setup Times","display_name":"Capacitated Lot Sizing with Setup Times","publication_year":1989,"publication_date":"1989-03-01","ids":{"openalex":"https://openalex.org/W2109557004","doi":"https://doi.org/10.1287/mnsc.35.3.353","mag":"2109557004"},"language":"en","primary_location":{"id":"doi:10.1287/mnsc.35.3.353","is_oa":false,"landing_page_url":"https://doi.org/10.1287/mnsc.35.3.353","pdf_url":null,"source":{"id":"https://openalex.org/S33323087","display_name":"Management Science","issn_l":"0025-1909","issn":["0025-1909","1526-5501"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2"],"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Management Science","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/A5035122196","display_name":"William W. Trigeiro","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"William W. Trigeiro","raw_affiliation_strings":["Systems and Technology Research, 10805 Parkridge Boulevard, Reston, Virginia 22091"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Systems and Technology Research, 10805 Parkridge Boulevard, Reston, Virginia 22091","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"L. Joseph Thomas","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Joseph Thomas","raw_affiliation_strings":["Johnson Graduate School of Management, Cornell University, Ithaca, New York 14853"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johnson Graduate School of Management, Cornell University, Ithaca, New York 14853","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005425625","display_name":"John O. McClain","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John O. McClain","raw_affiliation_strings":["Johnson Graduate School of Management, Cornell University, Ithaca, New York 14853"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johnson Graduate School of Management, Cornell University, Ithaca, New York 14853","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.2254,"has_fulltext":false,"cited_by_count":458,"citation_normalized_percentile":{"value":0.97785589,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"35","issue":"3","first_page":"353","last_page":"366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.996399998664856,"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":0.9907000064849854,"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/sizing","display_name":"Sizing","score":0.8538036346435547},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.8010727167129517},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.7962915897369385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7720887660980225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6402574777603149},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5477849245071411},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.49739745259284973},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4640326499938965},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4452468454837799},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.426244854927063},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.3780033588409424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21979162096977234}],"concepts":[{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.8538036346435547},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8010727167129517},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.7962915897369385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7720887660980225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6402574777603149},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5477849245071411},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.49739745259284973},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4640326499938965},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4452468454837799},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.426244854927063},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3780033588409424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21979162096977234},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1287/mnsc.35.3.353","is_oa":false,"landing_page_url":"https://doi.org/10.1287/mnsc.35.3.353","pdf_url":null,"source":{"id":"https://openalex.org/S33323087","display_name":"Management Science","issn_l":"0025-1909","issn":["0025-1909","1526-5501"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2"],"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Management Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"x_sdgs":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W224775207","https://openalex.org/W567516008","https://openalex.org/W1965429644","https://openalex.org/W1971861958","https://openalex.org/W1983449598","https://openalex.org/W1983658576","https://openalex.org/W1985786509","https://openalex.org/W1989449043","https://openalex.org/W2011039300","https://openalex.org/W2017697298","https://openalex.org/W2019590415","https://openalex.org/W2025851401","https://openalex.org/W2032584021","https://openalex.org/W2039500210","https://openalex.org/W2049049702","https://openalex.org/W2060960395","https://openalex.org/W2072643946","https://openalex.org/W2082601865","https://openalex.org/W2105560970","https://openalex.org/W2105845708","https://openalex.org/W2107857629","https://openalex.org/W2129541103","https://openalex.org/W2145614148","https://openalex.org/W2316529277","https://openalex.org/W2335724310"],"related_works":["https://openalex.org/W3183857959","https://openalex.org/W2037613239","https://openalex.org/W4243844638","https://openalex.org/W3032916910","https://openalex.org/W2894990380","https://openalex.org/W195910675","https://openalex.org/W2363143319","https://openalex.org/W2351035339","https://openalex.org/W1980006501","https://openalex.org/W2012703063"],"abstract_inverted_index":{"This":[0,167],"research":[1],"focuses":[2],"on":[3,9],"the":[4,15,36,66,130,133,150,176],"effect":[5],"of":[6,35,39,49,132,140],"setup":[7,30,93,96,146],"time":[8,94,163],"lot":[10,22,53],"sizing.":[11],"The":[12,56,88,123],"setting":[13],"is":[14,136],"Capacitated":[16],"Lot":[17],"Sizing":[18],"Problem":[19],"(the":[20],"single-machine":[21],"sizing":[23,54],"problem)":[24],"with":[25,92,99,145],"nonstationary":[26],"costs,":[27],"demands,":[28],"and":[29,65,148],"times.":[31],"A":[32,74],"Lagrangian":[33,57],"relaxation":[34],"capacity":[37,103,134],"constraints":[38,104],"CLSP":[40],"allows":[41],"it":[42],"to":[43,109,165],"be":[44,119,173],"decomposed":[45],"into":[46],"a":[47,137],"set":[48],"uncapacitated":[50],"single":[51],"product":[52],"problems.":[55],"dual":[58],"costs":[59],"are":[60,69,127,161],"updated":[61],"by":[62,71],"subgradient":[63],"optimization,":[64],"single-item":[67],"problems":[68,91,144,154,171],"solved":[70],"dynamic":[72],"programming.":[73],"heuristic":[75],"smoothing":[76],"procedure":[77],"constructs":[78],"feasible":[79],"solutions":[80],"(production":[81],"plans)":[82],"which":[83],"do":[84],"not":[85,117],"require":[86],"overtime.":[87],"algorithm":[89,151],"solves":[90,152],"or":[95],"cost.":[97],"Problems":[98],"extremely":[100],"tightly":[101],"binding":[102],"were":[105],"much":[106],"more":[107,162],"difficult":[108],"solve":[110],"than":[111,156],"anticipated.":[112],"Solutions":[113],"without":[114],"overtime":[115],"could":[116],"always":[118],"found":[120],"for":[121,143],"them.":[122],"most":[124],"significant":[125],"results":[126],"that":[128,169],"(1)":[129],"tightness":[131],"constraint":[135],"good":[138],"indicator":[139],"problem":[141],"difficulty":[142],"time;":[147],"(2)":[149],"larger":[153,170],"better":[155],"smaller":[157],"problems,":[158],"although":[159],"they":[160,180],"consuming":[164],"solve.":[166],"indicates":[168],"may":[172],"easier":[174],"despite":[175],"greater":[177],"computational":[178],"effort":[179],"require.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":21},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":19}],"updated_date":"2026-09-25T08:18:29.962427","created_date":"2025-10-10T00:00:00"}