{"id":"https://openalex.org/W2097607158","doi":"https://doi.org/10.1007/s10898-011-9728-8","title":"On the equivalence of strong formulations for capacitated multi-level lot sizing problems with setup times","display_name":"On the equivalence of strong formulations for capacitated multi-level lot sizing problems with setup times","publication_year":2011,"publication_date":"2011-05-30","ids":{"openalex":"https://openalex.org/W2097607158","doi":"https://doi.org/10.1007/s10898-011-9728-8","mag":"2097607158"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-011-9728-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9728-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","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/A5038300103","display_name":"Tao Wu","orcid":"https://orcid.org/0000-0001-7954-485X"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tao Wu","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101529205","display_name":"Leyuan Shi","orcid":"https://orcid.org/0000-0002-1397-2891"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Leyuan Shi","raw_affiliation_strings":["Department of Industrial Engineering and Management, Peking University, Beijing, 100871, China","Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Peking University, Beijing, 100871, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017968195","display_name":"Joseph Geunes","orcid":"https://orcid.org/0000-0001-5613-8146"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph Geunes","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054669154","display_name":"Kerem Akartunal\u0131","orcid":"https://orcid.org/0000-0003-0169-3833"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kerem Akartunal\u0131","raw_affiliation_strings":["Department of Management Science, University of Strathclyde, Glasgow, G1 1QE, UK"],"affiliations":[{"raw_affiliation_string":"Department of Management Science, University of Strathclyde, Glasgow, G1 1QE, UK","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038300103"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":3.1982,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91616333,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"53","issue":"4","first_page":"615","last_page":"639"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9994999766349792,"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":0.9994999766349792,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9950000047683716,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9929999709129333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sizing","display_name":"Sizing","score":0.7803049683570862},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7608795762062073},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.7365632653236389},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6863700151443481},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.567345380783081},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5533287525177002},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5389180779457092},{"id":"https://openalex.org/keywords/benders-decomposition","display_name":"Benders' decomposition","score":0.4413280487060547},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.43872204422950745}],"concepts":[{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.7803049683570862},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7608795762062073},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7365632653236389},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6863700151443481},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.567345380783081},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5533287525177002},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5389180779457092},{"id":"https://openalex.org/C27665512","wikidata":"https://www.wikidata.org/wiki/Q3042795","display_name":"Benders' decomposition","level":2,"score":0.4413280487060547},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.43872204422950745},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","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/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-011-9728-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9728-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:37400","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/711318.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:RePEc:spr:jglopt:v:53:y:2012:i:4:p:615-639","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-011-9728-8","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":[{"id":"https://metadata.un.org/sdg/16","score":0.7599999904632568,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W568537268","https://openalex.org/W1482298744","https://openalex.org/W1968143987","https://openalex.org/W1980760279","https://openalex.org/W1981551562","https://openalex.org/W1983658576","https://openalex.org/W1987081645","https://openalex.org/W2007885733","https://openalex.org/W2016546361","https://openalex.org/W2018062997","https://openalex.org/W2019590415","https://openalex.org/W2026582326","https://openalex.org/W2034904438","https://openalex.org/W2046204418","https://openalex.org/W2046418760","https://openalex.org/W2061538120","https://openalex.org/W2069633728","https://openalex.org/W2081055047","https://openalex.org/W2083962938","https://openalex.org/W2092387420","https://openalex.org/W2095256378","https://openalex.org/W2097012753","https://openalex.org/W2137435628","https://openalex.org/W2147628804","https://openalex.org/W2148969754","https://openalex.org/W2486748655","https://openalex.org/W2505968561","https://openalex.org/W2526264695","https://openalex.org/W3144842425","https://openalex.org/W3146701131","https://openalex.org/W4213055931"],"related_works":["https://openalex.org/W2375311683","https://openalex.org/W2366062860","https://openalex.org/W2373777250","https://openalex.org/W2353956655","https://openalex.org/W2020653254","https://openalex.org/W2010454064","https://openalex.org/W2352072014","https://openalex.org/W217279133","https://openalex.org/W3024185138","https://openalex.org/W2011675579"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}