{"id":"https://openalex.org/W3163053511","doi":"https://doi.org/10.1080/00207543.2021.1924408","title":"Scheduling of steelmaking-continuous casting process with different processing routes using effective surrogate Lagrangian relaxation approach and improved concave\u2013convex procedure","display_name":"Scheduling of steelmaking-continuous casting process with different processing routes using effective surrogate Lagrangian relaxation approach and improved concave\u2013convex procedure","publication_year":2021,"publication_date":"2021-05-15","ids":{"openalex":"https://openalex.org/W3163053511","doi":"https://doi.org/10.1080/00207543.2021.1924408","mag":"3163053511"},"language":"en","primary_location":{"id":"doi:10.1080/00207543.2021.1924408","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2021.1924408","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","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/A5039802735","display_name":"Haijuan Cui","orcid":"https://orcid.org/0000-0002-7770-6306"},"institutions":[{"id":"https://openalex.org/I4391767858","display_name":"State Key Laboratory of Synthetical Automation for Process Industries","ror":"https://ror.org/0380ng272","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767858","https://openalex.org/I9224756"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haijuan Cui","raw_affiliation_strings":["State Key Laboratory of Synthetical Automation for Process industries Northeastern University, Shenyang, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process industries Northeastern University, Shenyang, People's Republic of China","institution_ids":["https://openalex.org/I9224756","https://openalex.org/I4391767858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103060588","display_name":"Xiaochuan Luo","orcid":"https://orcid.org/0000-0001-6886-1649"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]},{"id":"https://openalex.org/I4391767858","display_name":"State Key Laboratory of Synthetical Automation for Process Industries","ror":"https://ror.org/0380ng272","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767858","https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaochuan Luo","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, People's Republic of China","State Key Laboratory of Synthetical Automation for Process industries Northeastern University, Shenyang, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, People's Republic of China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process industries Northeastern University, Shenyang, People's Republic of China","institution_ids":["https://openalex.org/I9224756","https://openalex.org/I4391767858"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005713681","display_name":"Yuan Wang","orcid":"https://orcid.org/0000-0002-7247-0058"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Wang","raw_affiliation_strings":["School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, People's Republic of China","University of Science and Technology of China, Hefei, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, People's Republic of China","institution_ids":["https://openalex.org/I4210116924"]},{"raw_affiliation_string":"University of Science and Technology of China, Hefei, People's Republic of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103060588"],"corresponding_institution_ids":["https://openalex.org/I4391767858","https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":2.485,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.87514035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"60","issue":"11","first_page":"3435","last_page":"3460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.996999979019165,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.9630740880966187},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.9171037673950195},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7562063932418823},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5495603680610657},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.5043824911117554},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4597568213939667},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4545605778694153},{"id":"https://openalex.org/keywords/continuous-casting","display_name":"Continuous casting","score":0.4264088273048401},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.42332392930984497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4216497540473938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37484210729599},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.0987263023853302}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9630740880966187},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.9171037673950195},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7562063932418823},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5495603680610657},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.5043824911117554},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4597568213939667},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4545605778694153},{"id":"https://openalex.org/C2779684419","wikidata":"https://www.wikidata.org/wiki/Q1506832","display_name":"Continuous casting","level":2,"score":0.4264088273048401},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.42332392930984497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4216497540473938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37484210729599},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.0987263023853302},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207543.2021.1924408","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2021.1924408","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tprsxx:v:60:y:2022:i:11:p:3435-3460","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207543.2021.1924408","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":[],"awards":[{"id":"https://openalex.org/G8704776090","display_name":null,"funder_award_id":"2019YFB1705002, 2017YFB0304100","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W224775207","https://openalex.org/W633089856","https://openalex.org/W1758381552","https://openalex.org/W1984417583","https://openalex.org/W1984909291","https://openalex.org/W1989730763","https://openalex.org/W1992177170","https://openalex.org/W2000341292","https://openalex.org/W2012586594","https://openalex.org/W2017979853","https://openalex.org/W2050968963","https://openalex.org/W2053300744","https://openalex.org/W2057679687","https://openalex.org/W2057967912","https://openalex.org/W2060539563","https://openalex.org/W2064327494","https://openalex.org/W2069770680","https://openalex.org/W2078214107","https://openalex.org/W2096118674","https://openalex.org/W2128375806","https://openalex.org/W2152028815","https://openalex.org/W2159434603","https://openalex.org/W2172228337","https://openalex.org/W2402736019","https://openalex.org/W2520892588","https://openalex.org/W2566740087","https://openalex.org/W2624202938","https://openalex.org/W2784638391","https://openalex.org/W2806938942","https://openalex.org/W2885667420","https://openalex.org/W2978304898","https://openalex.org/W3000345416","https://openalex.org/W4385738287","https://openalex.org/W6603474794","https://openalex.org/W6680293426"],"related_works":["https://openalex.org/W2037613239","https://openalex.org/W3183857959","https://openalex.org/W4243844638","https://openalex.org/W2894990380","https://openalex.org/W195910675","https://openalex.org/W3032916910","https://openalex.org/W2363143319","https://openalex.org/W2351035339","https://openalex.org/W1980006501","https://openalex.org/W2138760184"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"a":[3,17],"steelmaking-continuous":[4,109],"casting":[5,110],"scheduling":[6,111],"problem":[7,15,31,55],"with":[8,80],"different":[9],"processing":[10],"routes.":[11],"We":[12],"model":[13],"this":[14,30,108],"as":[16],"mixed-integer":[18],"nonlinear":[19],"programming":[20],"problem.":[21,88,112],"Next,":[22],"Lagrangian":[23,42,53,86],"relaxation":[24,54],"approach":[25],"is":[26],"introduced":[27],"to":[28,38,50,83],"solve":[29,84],"by":[32],"relaxing":[33],"the":[34,39,52,62,65,85,93,98,101],"coupling":[35],"constraints.":[36],"Due":[37],"nonseparability":[40],"in":[41],"functions,":[43],"we":[44,73],"design":[45],"an":[46,75],"improved":[47,66],"concave\u2013convex":[48,67],"procedure":[49,68],"decompose":[51],"into":[56],"three":[57],"tractable":[58],"subproblems":[59],"and":[60],"analyse":[61],"convergence":[63,82],"of":[64,100],"under":[69],"some":[70],"assumptions.":[71],"Furthermore,":[72],"present":[74],"effective":[76],"surrogate":[77,103],"subgradient":[78,104],"algorithm":[79],"global":[81],"dual":[87],"Lastly,":[89],"computational":[90],"experiments":[91],"on":[92],"practical":[94],"production":[95],"data":[96],"show":[97],"effectiveness":[99],"proposed":[102],"method":[105],"for":[106],"solving":[107]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
