{"id":"https://openalex.org/W3034727577","doi":"https://doi.org/10.1007/s10951-022-00721-1","title":"Exact and meta-heuristic approaches for the production leveling problem","display_name":"Exact and meta-heuristic approaches for the production leveling problem","publication_year":2022,"publication_date":"2022-04-05","ids":{"openalex":"https://openalex.org/W3034727577","doi":"https://doi.org/10.1007/s10951-022-00721-1","mag":"3034727577"},"language":"en","primary_location":{"id":"doi:10.1007/s10951-022-00721-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10951-022-00721-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10951-022-00721-1.pdf","source":{"id":"https://openalex.org/S91278097","display_name":"Journal of Scheduling","issn_l":"1094-6136","issn":["1094-6136","1099-1425"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scheduling","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10951-022-00721-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043052457","display_name":"Johannes Vass","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Johannes Vass","raw_affiliation_strings":["Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, DBAI, TU Wien, Karlsplatz 13, 1040, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, DBAI, TU Wien, Karlsplatz 13, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065059879","display_name":"Marie-Louise Lackner","orcid":"https://orcid.org/0000-0002-9916-9011"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Marie-Louise Lackner","raw_affiliation_strings":["Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, DBAI, TU Wien, Karlsplatz 13, 1040, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-9916-9011","affiliations":[{"raw_affiliation_string":"Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, DBAI, TU Wien, Karlsplatz 13, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011356559","display_name":"Christoph Mrkvicka","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christoph Mrkvicka","raw_affiliation_strings":["MCP GMBH, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MCP GMBH, Vienna, Austria","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084546772","display_name":"Nysret Musliu","orcid":"https://orcid.org/0000-0002-3992-8637"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Nysret Musliu","raw_affiliation_strings":["Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, DBAI, TU Wien, Karlsplatz 13, 1040, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-3992-8637","affiliations":[{"raw_affiliation_string":"Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, DBAI, TU Wien, Karlsplatz 13, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040141169","display_name":"Felix Winter","orcid":"https://orcid.org/0000-0002-1012-1258"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Felix Winter","raw_affiliation_strings":["Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, DBAI, TU Wien, Karlsplatz 13, 1040, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-1012-1258","affiliations":[{"raw_affiliation_string":"Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, DBAI, TU Wien, Karlsplatz 13, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065059879"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.6894,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71558772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"3","first_page":"339","last_page":"370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9994999766349792,"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/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9994999766349792,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.998199999332428,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9879999756813049,"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/simulated-annealing","display_name":"Simulated annealing","score":0.7904508709907532},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6424309015274048},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5997729301452637},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.594438374042511},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5795719027519226},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.5391725301742554},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5214037895202637},{"id":"https://openalex.org/keywords/production-planning","display_name":"Production planning","score":0.5041879415512085},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.48995891213417053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4209124445915222},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.35922759771347046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29798758029937744}],"concepts":[{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.7904508709907532},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6424309015274048},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5997729301452637},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.594438374042511},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5795719027519226},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.5391725301742554},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5214037895202637},{"id":"https://openalex.org/C2777909354","wikidata":"https://www.wikidata.org/wiki/Q1386523","display_name":"Production planning","level":3,"score":0.5041879415512085},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.48995891213417053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4209124445915222},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.35922759771347046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29798758029937744},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10951-022-00721-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10951-022-00721-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10951-022-00721-1.pdf","source":{"id":"https://openalex.org/S91278097","display_name":"Journal of Scheduling","issn_l":"1094-6136","issn":["1094-6136","1099-1425"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scheduling","raw_type":"journal-article"},{"id":"pmh:oai:repositum.tuwien.ac.at:4557402","is_oa":true,"landing_page_url":"https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-131589","pdf_url":"https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-131589","source":{"id":"https://openalex.org/S4306400493","display_name":"reposiTUm (TU Wien)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145847075","host_organization_name":"TU Wien","host_organization_lineage":["https://openalex.org/I145847075"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},{"id":"pmh:oai:RePEc:spr:jsched:v:25:y:2022:i:3:d:10.1007_s10951-022-00721-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10951-022-00721-1","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":{"id":"doi:10.1007/s10951-022-00721-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10951-022-00721-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10951-022-00721-1.pdf","source":{"id":"https://openalex.org/S91278097","display_name":"Journal of Scheduling","issn_l":"1094-6136","issn":["1094-6136","1099-1425"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scheduling","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320311813","display_name":"\u00d6sterreichische Nationalstiftung f\u00fcr Forschung, Technologie und Entwicklung","ror":"https://ror.org/04hb33h70"},{"id":"https://openalex.org/F4320322839","display_name":"Technische Universit\u00e4t Wien","ror":"https://ror.org/04d836q62"},{"id":"https://openalex.org/F4320323591","display_name":"Christian Doppler Forschungsgesellschaft","ror":"https://ror.org/00mv8h305"},{"id":"https://openalex.org/F4320327593","display_name":"Bundesministerium f\u00fcr Digitalisierung und Wirtschaftsstandort","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3034727577.pdf","grobid_xml":"https://content.openalex.org/works/W3034727577.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W186403072","https://openalex.org/W1571178781","https://openalex.org/W1572315980","https://openalex.org/W1609511324","https://openalex.org/W1715825269","https://openalex.org/W1724692745","https://openalex.org/W1744734666","https://openalex.org/W1964554277","https://openalex.org/W1965219379","https://openalex.org/W1977276352","https://openalex.org/W1987471748","https://openalex.org/W1988234364","https://openalex.org/W2014734902","https://openalex.org/W2022883048","https://openalex.org/W2024060531","https://openalex.org/W2059835775","https://openalex.org/W2073608039","https://openalex.org/W2075062325","https://openalex.org/W2099796355","https://openalex.org/W2127823468","https://openalex.org/W2133671908","https://openalex.org/W2198098822","https://openalex.org/W2339787033","https://openalex.org/W2611804663","https://openalex.org/W2748823108","https://openalex.org/W2902620155","https://openalex.org/W3034727577","https://openalex.org/W4247550992","https://openalex.org/W4300550233","https://openalex.org/W6600688948","https://openalex.org/W6839964580"],"related_works":["https://openalex.org/W2789681586","https://openalex.org/W2794361564","https://openalex.org/W4243392960","https://openalex.org/W3156820950","https://openalex.org/W4232791346","https://openalex.org/W1939200287","https://openalex.org/W2082305040","https://openalex.org/W4381955380","https://openalex.org/W1980833393","https://openalex.org/W1967228184"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,114],"introduce":[5,115],"a":[6,73,94,116,180],"new":[7],"problem":[8,99,125,184],"in":[9,33,144,161,261],"the":[10,16,31,49,67,98,159,169,187,205,262],"field":[11],"of":[12,70,84,97,182,242,246],"production":[13,17,27,74],"planning,":[14],"called":[15],"leveling":[18,57],"problem.":[19],"The":[20,196,251],"task":[21],"is":[22,41,58,78,130,209,256],"to":[23,26,86,146,217,240],"assign":[24],"orders":[25,71,85,243],"periods":[28,247],"such":[29],"that":[30,156,204],"load":[32],"each":[34,38,90],"period":[35],"and":[36,48,66,100,135,165,172,236,244,248],"for":[37,80,109,139,212],"product":[39,249],"type":[40],"balanced,":[42],"capacity":[43],"limits":[44],"are":[45,52,142,163],"not":[46],"exceeded,":[47],"orders\u2019":[50],"priorities":[51],"taken":[53],"into":[54],"account.":[55],"Production":[56],"an":[59,106],"important":[60],"intermediate":[61],"step":[62],"between":[63],"long-term":[64],"planning":[65],"final":[68],"scheduling":[69],"within":[72,89,168,173],"period,":[75],"as":[76,189,191],"it":[77],"responsible":[79],"selecting":[81],"good":[82],"subsets":[83],"be":[87],"scheduled":[88],"period.":[91],"We":[92,176],"provide":[93],"formal":[95],"model":[96,171,208],"study":[101],"its":[102],"computational":[103],"complexity.":[104],"As":[105],"exact":[107],"method":[108,253],"solving":[110,123,213],"moderately":[111],"sized":[112],"instances,":[113,126,235],"mixed":[117],"integer":[118],"programming":[119],"(MIP)":[120],"formulation.":[121],"For":[122],"large":[124],"metaheuristic":[127,252],"local":[128,140],"search":[129,141],"investigated.":[131],"A":[132],"greedy":[133],"heuristic":[134],"two":[136],"neighborhood":[137],"structures":[138],"proposed":[143,206],"order":[145],"apply":[147],"them":[148],"using":[149],"simulated":[150,174],"annealing.":[151,175],"Furthermore,":[152],"three":[153],"possible":[154],"extensions":[155],"arise":[157],"from":[158,186,192],"application":[160],"practice":[162],"described":[164],"implemented,":[166],"both":[167],"MIP":[170,207],"make":[177],"publicly":[178],"available":[179],"set":[181],"realistic":[183],"instances":[185,214],"industry":[188],"well":[190,210,238],"random":[193],"instance":[194],"generators.":[195],"experimental":[197],"evaluation":[198],"on":[199,233],"our":[200],"test":[201],"sets":[202],"shows":[203],"suited":[211],"with":[215,224],"up":[216,239],"250":[218],"orders.":[219],"Simulated":[220],"annealing":[221],"produces":[222],"solutions":[223],"less":[225],"than":[226],"$$3\\%$$":[227],"3":[228],"%":[229],"average":[230],"optimality":[231],"gap":[232],"small":[234],"scales":[237],"thousands":[241],"dozens":[245],"types.":[250],"presented":[254],"herein":[255],"already":[257],"being":[258],"successfully":[259],"used":[260],"industry.":[263]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
