{"id":"https://openalex.org/W2141800752","doi":"https://doi.org/10.1007/s10732-015-9295-0","title":"A relax-and-fix with fix-and-optimize heuristic applied to multi-level lot-sizing problems","display_name":"A relax-and-fix with fix-and-optimize heuristic applied to multi-level lot-sizing problems","publication_year":2015,"publication_date":"2015-07-02","ids":{"openalex":"https://openalex.org/W2141800752","doi":"https://doi.org/10.1007/s10732-015-9295-0","mag":"2141800752"},"language":"en","primary_location":{"id":"doi:10.1007/s10732-015-9295-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10732-015-9295-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10732-015-9295-0.pdf","source":{"id":"https://openalex.org/S111418578","display_name":"Journal of Heuristics","issn_l":"1381-1231","issn":["1381-1231","1572-9397"],"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 Heuristics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s10732-015-9295-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037695680","display_name":"Cl\u00e1udio Fabiano Motta Toledo","orcid":"https://orcid.org/0000-0003-4776-8052"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Claudio Fabiano Motta Toledo","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, Avenida trabalhador s\u00e3o-carlense, 400, Centro, S\u00e3o Carlos, SP, 13566-590, Brazil","Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil 13566-590#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, Avenida trabalhador s\u00e3o-carlense, 400, Centro, S\u00e3o Carlos, SP, 13566-590, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil 13566-590#TAB#","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039202034","display_name":"M\u00e1rcio da Silva Arantes","orcid":"https://orcid.org/0000-0002-9309-7678"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"M\u00e1rcio da Silva Arantes","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, Avenida trabalhador s\u00e3o-carlense, 400, Centro, S\u00e3o Carlos, SP, 13566-590, Brazil","Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil 13566-590#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, Avenida trabalhador s\u00e3o-carlense, 400, Centro, S\u00e3o Carlos, SP, 13566-590, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil 13566-590#TAB#","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024027559","display_name":"Marcelo Yukio Bressan Hossomi","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcelo Yukio Bressan Hossomi","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, Avenida trabalhador s\u00e3o-carlense, 400, Centro, S\u00e3o Carlos, SP, 13566-590, Brazil","Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil 13566-590#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, Avenida trabalhador s\u00e3o-carlense, 400, Centro, S\u00e3o Carlos, SP, 13566-590, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil 13566-590#TAB#","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113667991","display_name":"Paulo Morelato Fran\u00e7a","orcid":null},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Paulo Morelato Fran\u00e7a","raw_affiliation_strings":["Department of Mathematics and Computer Science, UNESP, R. Roberto Simonsen, 305, CP 266, Presidente Prudente, SP, 19060-080, Brazil","Department of Mathematics and Computer Science, UNESP, Presidente Prudente, Brazil 19060-080#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, UNESP, R. Roberto Simonsen, 305, CP 266, Presidente Prudente, SP, 19060-080, Brazil","institution_ids":["https://openalex.org/I879563668"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, UNESP, Presidente Prudente, Brazil 19060-080#TAB#","institution_ids":["https://openalex.org/I879563668"]}]},{"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, 40 George Street, Glasgow, G1 1QE, UK","Department of Management Science, University of Strathclyde, Glasgow, UK G1 1QE#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Science, University of Strathclyde, 40 George Street, Glasgow, G1 1QE, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"Department of Management Science, University of Strathclyde, Glasgow, UK G1 1QE#TAB#","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5037695680"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":12.6693,"has_fulltext":true,"cited_by_count":100,"citation_normalized_percentile":{"value":0.98669891,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"21","issue":"5","first_page":"687","last_page":"717"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9983999729156494,"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":0.9983999729156494,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9973999857902527,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9957000017166138,"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/heuristics","display_name":"Heuristics","score":0.8258762359619141},{"id":"https://openalex.org/keywords/sizing","display_name":"Sizing","score":0.8114398717880249},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7556429505348206},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.715237557888031},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6748482584953308},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.65297931432724},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5131934285163879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2245228886604309}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.8258762359619141},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.8114398717880249},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7556429505348206},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.715237557888031},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6748482584953308},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.65297931432724},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5131934285163879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2245228886604309},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10732-015-9295-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10732-015-9295-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10732-015-9295-0.pdf","source":{"id":"https://openalex.org/S111418578","display_name":"Journal of Heuristics","issn_l":"1381-1231","issn":["1381-1231","1572-9397"],"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 Heuristics","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:53600","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/711318.html>","pdf_url":"https://strathprints.strath.ac.uk/53600/1/Toledo_etal_JOH_2015_A_relax_and_fix_with_fix_and_optimize_heuristic_applied_to_multi_level.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:002804143","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10732-015-9295-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:americanae.aecid.es:1793300","is_oa":true,"landing_page_url":"http://hdl.handle.net/11449/168046","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da UNESP","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorio.unesp.br:11449/168046","is_oa":true,"landing_page_url":"http://doi.org/10.1007/s10732-015-9295-0","pdf_url":null,"source":{"id":"https://openalex.org/S4377196277","display_name":"UNESP Institutional Repository (S\u00e3o Paulo State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I879563668","host_organization_name":"Universidade Estadual Paulista (Unesp)","host_organization_lineage":["https://openalex.org/I879563668"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UNESP","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10732-015-9295-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10732-015-9295-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10732-015-9295-0.pdf","source":{"id":"https://openalex.org/S111418578","display_name":"Journal of Heuristics","issn_l":"1381-1231","issn":["1381-1231","1572-9397"],"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 Heuristics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.5199999809265137}],"awards":[{"id":"https://openalex.org/G1619449512","display_name":null,"funder_award_id":"483474/2013-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G1724689878","display_name":null,"funder_award_id":"2010/10133-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G3094158859","display_name":null,"funder_award_id":"312967/2014-4","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G5135139487","display_name":null,"funder_award_id":"483474/2013-4","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G6527665788","display_name":null,"funder_award_id":"2013-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G6549679978","display_name":null,"funder_award_id":"2014-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7390140555","display_name":null,"funder_award_id":"2011/15581-3","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G8615336571","display_name":null,"funder_award_id":"2011/15534-5","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2141800752.pdf","grobid_xml":"https://content.openalex.org/works/W2141800752.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W113308545","https://openalex.org/W1696146724","https://openalex.org/W1985835923","https://openalex.org/W1988303826","https://openalex.org/W1998373250","https://openalex.org/W2001891144","https://openalex.org/W2006004042","https://openalex.org/W2016749569","https://openalex.org/W2018062997","https://openalex.org/W2026582326","https://openalex.org/W2039342074","https://openalex.org/W2040143800","https://openalex.org/W2061538120","https://openalex.org/W2069633728","https://openalex.org/W2071865101","https://openalex.org/W2072670223","https://openalex.org/W2074989399","https://openalex.org/W2078956529","https://openalex.org/W2081055047","https://openalex.org/W2092387420","https://openalex.org/W2093182489","https://openalex.org/W2093412055","https://openalex.org/W2095256378","https://openalex.org/W2106773972","https://openalex.org/W2107474910","https://openalex.org/W2145130933","https://openalex.org/W2147628804","https://openalex.org/W2160350284","https://openalex.org/W2166270692","https://openalex.org/W2790035849","https://openalex.org/W6942676425"],"related_works":["https://openalex.org/W2131215816","https://openalex.org/W3177062893","https://openalex.org/W3125143773","https://openalex.org/W2007032764","https://openalex.org/W803550684","https://openalex.org/W2483226803","https://openalex.org/W4352977312","https://openalex.org/W4312926500","https://openalex.org/W2067280619","https://openalex.org/W4251343851"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3}],"updated_date":"2026-05-13T08:25:38.343686","created_date":"2016-06-24T00:00:00"}
