{"id":"https://openalex.org/W4414578276","doi":"https://doi.org/10.1016/j.cor.2026.107523","title":"Progressive hedging for multi-stage stochastic lot sizing problems with setup carry-over under uncertain demand","display_name":"Progressive hedging for multi-stage stochastic lot sizing problems with setup carry-over under uncertain demand","publication_year":2026,"publication_date":"2026-05-05","ids":{"openalex":"https://openalex.org/W4414578276","doi":"https://doi.org/10.1016/j.cor.2026.107523"},"language":"en","primary_location":{"id":"doi:10.1016/j.cor.2026.107523","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cor.2026.107523","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cor.2026.107523","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058168938","display_name":"Manuel Schlenkrich","orcid":null},"institutions":[{"id":"https://openalex.org/I102248843","display_name":"Vienna University of Economics and Business","ror":"https://ror.org/03yn8s215","country_code":"AT","type":"education","lineage":["https://openalex.org/I102248843"]},{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Manuel Schlenkrich","raw_affiliation_strings":["Institute for Transport and Logistics Management, WU Vienna University of Economics and Business, Welthandelsplatz 1, Vienna, 1020, Austria","Institute of Production and Logistics Management, Johannes Kepler University Linz, Altenbergerstra\u00dfe 69, Linz, 4040, Austria"],"raw_orcid":"https://orcid.org/0009-0005-5866-2749","affiliations":[{"raw_affiliation_string":"Institute for Transport and Logistics Management, WU Vienna University of Economics and Business, Welthandelsplatz 1, Vienna, 1020, Austria","institution_ids":["https://openalex.org/I102248843"]},{"raw_affiliation_string":"Institute of Production and Logistics Management, Johannes Kepler University Linz, Altenbergerstra\u00dfe 69, Linz, 4040, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110086210","display_name":"Jean-Fran\u00e7ois Cordeau","orcid":null},"institutions":[{"id":"https://openalex.org/I108192572","display_name":"HEC Montr\u00e9al","ror":"https://ror.org/05ww3wq27","country_code":"CA","type":"education","lineage":["https://openalex.org/I108192572"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Cordeau","raw_affiliation_strings":["Department of Logistics and Operations Management, HEC Montr\u00e9al, 3000 chemin de la C\u00f4te-Sainte-Catherine, Montr\u00e9al, H3T 2A7, Canada"],"raw_orcid":"https://orcid.org/0000-0002-4963-1298","affiliations":[{"raw_affiliation_string":"Department of Logistics and Operations Management, HEC Montr\u00e9al, 3000 chemin de la C\u00f4te-Sainte-Catherine, Montr\u00e9al, H3T 2A7, Canada","institution_ids":["https://openalex.org/I108192572"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037046189","display_name":"Sophie N. Parragh","orcid":"https://orcid.org/0000-0002-7428-9770"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Sophie N. Parragh","raw_affiliation_strings":["Institute of Production and Logistics Management, Johannes Kepler University Linz, Altenbergerstra\u00dfe 69, Linz, 4040, Austria"],"raw_orcid":"https://orcid.org/0000-0002-7428-9770","affiliations":[{"raw_affiliation_string":"Institute of Production and Logistics Management, Johannes Kepler University Linz, Altenbergerstra\u00dfe 69, Linz, 4040, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058168938"],"corresponding_institution_ids":["https://openalex.org/I102248843","https://openalex.org/I121883995"],"apc_list":{"value":3210,"currency":"USD","value_usd":3210},"apc_paid":{"value":3210,"currency":"USD","value_usd":3210},"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00401629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"193","issue":null,"first_page":"107523","last_page":"107523"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9674000144004822,"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":0.9674000144004822,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5259000062942505},{"id":"https://openalex.org/keywords/sizing","display_name":"Sizing","score":0.5245000123977661},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.4805000126361847},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4124000072479248},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.4065000116825104},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.37299999594688416}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7484999895095825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5684999823570251},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5259000062942505},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.5245000123977661},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.4805000126361847},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4124000072479248},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.4065000116825104},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.37299999594688416},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.3531000018119812},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.29120001196861267},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.28859999775886536},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C2781468064","wikidata":"https://www.wikidata.org/wiki/Q1267117","display_name":"Lead time","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.2506999969482422}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.cor.2026.107523","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cor.2026.107523","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2503.08477","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.08477","pdf_url":"https://arxiv.org/pdf/2503.08477","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"doi:10.48550/arxiv.2503.08477","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2503.08477","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.cor.2026.107523","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cor.2026.107523","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3030848409","display_name":null,"funder_award_id":"P32954-G","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,186],"investigate":[1,106],"multi-stage":[2,18,40,240],"demand":[3],"uncertainty":[4],"for":[5,73,275],"the":[6,24,60,66,85,109,115,137,153,167,172,193,199,216,226,229,250,255,266],"multi-item":[7],"multi-echelon":[8],"capacitated":[9],"lot":[10,242],"sizing":[11,243],"problem":[12,86,214,244],"with":[13,245],"setup":[14,246],"carry-over.":[15,247],"Considering":[16],"a":[17,74,90,100,156,176,182,204,239],"decision":[19,69,78],"framework":[20],"helps":[21],"to":[22,29,32,45,83,130,151,165,198,221,264],"quantify":[23],"benefits":[25],"of":[26,59,68,77,89,118,139,195,225,228,282],"being":[27],"able":[28],"adapt":[30,147],"decisions":[31,174],"newly":[33],"available":[34],"information.":[35],"The":[36],"drawback":[37],"is":[38,50,175],"that":[39,113],"stochastic":[41,241],"optimization":[42,92,206],"approaches":[43],"lead":[44,129],"very":[46],"challenging":[47],"formulations.":[48],"This":[49],"because":[51],"they":[52],"usually":[53,128],"rely":[54],"on":[55,208],"scenario":[56],"tree":[57],"representations":[58],"uncertainty,":[61],"which":[62],"grow":[63],"exponentially":[64],"in":[65,254],"number":[67,76],"stages.":[70],"Thus,":[71],"even":[72],"moderate":[75],"stages":[79],"it":[80],"becomes":[81],"difficult":[82],"solve":[84],"by":[87,202],"means":[88],"compact":[91,205,230,287],"model.":[93],"To":[94,142],"address":[95],"this":[96,134,144],"issue,":[97],"we":[98,105,146,161,179],"propose":[99],"progressive":[101,196,217,256,284],"hedging":[102,197,218,257,285],"algorithm":[103,154,189,219],"and":[104,107,121,191],"tune":[108],"crucial":[110],"penalty":[111,126,251],"parameter":[112],"influences":[114],"conflicting":[116],"goals":[117],"fast":[119],"convergence":[120,268],"solution":[122],"quality.":[123],"While":[124,170],"low":[125],"parameters":[127],"high":[131],"quality":[132],"solutions,":[133],"comes":[135],"at":[136],"cost":[138,227,291],"slow":[140],"convergence.":[141],"tackle":[143],"problem,":[145],"metaheuristic":[148,262],"adjustment":[149],"strategies":[150,263],"guide":[152],"towards":[155],"consensus":[157,168,277],"more":[158],"efficiently.":[159],"Furthermore,":[160],"consider":[162],"several":[163,213],"options":[164],"compute":[166],"solution.":[169],"averaging":[171],"subproblem":[173],"common":[177],"choice,":[178],"also":[180],"apply":[181],"majority":[183],"voting":[184],"procedure.":[185],"test":[187],"different":[188,276],"configurations":[190],"compare":[192],"results":[194],"solutions":[200,222],"obtained":[201],"solving":[203],"model":[207,288],"well-known":[209],"benchmark":[210],"instances.":[211],"For":[212],"instances":[215],"converges":[220],"within":[223,289],"1%":[224,290],"model\u2019s":[231],"solution,":[232],"while":[233],"requiring":[234],"shorter":[235],"runtimes.":[236],"\u2022":[237,248,260,270,280],"Define":[238],"Analyze":[249],"parameter\u2019s":[252],"role":[253],"method\u2019s":[258],"performance.":[259],"Apply":[261],"enhance":[265],"algorithm\u2019s":[267],"behavior.":[269],"Find":[271],"varying":[272],"algorithmic":[273],"behavior":[274],"calculation":[278],"procedures.":[279],"Runtime":[281],"tuned":[283],"outperforms":[286],"range.":[292]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}
