{"id":"https://openalex.org/W3134716184","doi":"https://doi.org/10.1155/2021/6697060","title":"Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates","display_name":"Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates","publication_year":2021,"publication_date":"2021-03-04","ids":{"openalex":"https://openalex.org/W3134716184","doi":"https://doi.org/10.1155/2021/6697060","mag":"3134716184"},"language":"en","primary_location":{"id":"doi:10.1155/2021/6697060","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6697060","pdf_url":"https://downloads.hindawi.com/journals/afs/2021/6697060.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/afs/2021/6697060.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103023240","display_name":"Hamiden Abd El-Wahed Khalifa","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]},{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Hamiden Abd El-Wahed Khalifa","raw_affiliation_strings":["Mathematics Department, College of Science and Arts, Al-Badaya, Qassim University, Buraydah, Saudi Arabia","Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, College of Science and Arts, Al-Badaya, Qassim University, Buraydah, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]},{"raw_affiliation_string":"Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012460942","display_name":"Sultan S. Alodhaibi","orcid":"https://orcid.org/0000-0003-4439-1878"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Sultan S. Alodhaibi","raw_affiliation_strings":["Mathematics Department, College of Science and Arts, AL-Rass, Qassim University, Buraydah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, College of Science and Arts, AL-Rass, Qassim University, Buraydah, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101398697","display_name":"Pavan Kumar","orcid":"https://orcid.org/0000-0001-5340-7777"},"institutions":[{"id":"https://openalex.org/I464993","display_name":"Barkatullah University","ror":"https://ror.org/02ax13658","country_code":"IN","type":"education","lineage":["https://openalex.org/I464993"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Pavan Kumar","raw_affiliation_strings":["Mathematics Division, School of Advanced Science and Languages, VIT Bhopal University, Sehore-466114, MP, India"],"raw_orcid":"https://orcid.org/0000-0001-5340-7777","affiliations":[{"raw_affiliation_string":"Mathematics Division, School of Advanced Science and Languages, VIT Bhopal University, Sehore-466114, MP, India","institution_ids":["https://openalex.org/I464993"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101398697"],"corresponding_institution_ids":["https://openalex.org/I464993"],"apc_list":{"value":925,"currency":"USD","value_usd":925},"apc_paid":{"value":925,"currency":"USD","value_usd":925},"fwci":0.8905,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76637153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2021","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","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/T12176","display_name":"Optimization and Packing Problems","score":0.9908999800682068,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6785821914672852},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6759647130966187},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6663241982460022},{"id":"https://openalex.org/keywords/flow-shop-scheduling","display_name":"Flow shop scheduling","score":0.5928058624267578},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5711705684661865},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.5605841279029846},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5319680571556091},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5189428329467773},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5187104344367981},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.47117334604263306},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4642648696899414},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4624803960323334},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4518654942512512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44380098581314087},{"id":"https://openalex.org/keywords/fuzzy-transportation","display_name":"Fuzzy transportation","score":0.4315977692604065},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.41769939661026},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.2876962721347809},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1600814163684845},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.08257114887237549},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06788268685340881}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6785821914672852},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6759647130966187},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6663241982460022},{"id":"https://openalex.org/C158336966","wikidata":"https://www.wikidata.org/wiki/Q3074426","display_name":"Flow shop scheduling","level":4,"score":0.5928058624267578},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5711705684661865},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.5605841279029846},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5319680571556091},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5189428329467773},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5187104344367981},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.47117334604263306},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4642648696899414},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4624803960323334},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4518654942512512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44380098581314087},{"id":"https://openalex.org/C21214244","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy transportation","level":5,"score":0.4315977692604065},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.41769939661026},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2876962721347809},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1600814163684845},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.08257114887237549},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06788268685340881},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2021/6697060","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6697060","pdf_url":"https://downloads.hindawi.com/journals/afs/2021/6697060.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:figshare.com:article/14398262","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/_33_Solving_Constrained_Flow-Shop_Scheduling_Problem_through_Multistage_Fuzzy_Binding_Approach_with_Fuzzy_Due_Dates/14398262","pdf_url":"https://figshare.com/articles/journal_contribution/_33_Solving_Constrained_Flow-Shop_Scheduling_Problem_through_Multistage_Fuzzy_Binding_Approach_with_Fuzzy_Due_Dates/14398262","source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:e2f5dde6be674a0d9769b5a20a5cb019","is_oa":true,"landing_page_url":"https://doaj.org/article/e2f5dde6be674a0d9769b5a20a5cb019","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Fuzzy Systems, Vol 2021 (2021)","raw_type":"article"},{"id":"doi:10.6084/m9.figshare.14398262.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.14398262.v1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"article-journal"}],"best_oa_location":{"id":"doi:10.1155/2021/6697060","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6697060","pdf_url":"https://downloads.hindawi.com/journals/afs/2021/6697060.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324403","display_name":"Qassim University","ror":"https://ror.org/01wsfe280"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3134716184.pdf","grobid_xml":"https://content.openalex.org/works/W3134716184.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1523144401","https://openalex.org/W1580809199","https://openalex.org/W1966446265","https://openalex.org/W1972038524","https://openalex.org/W1976476030","https://openalex.org/W2009054772","https://openalex.org/W2022284352","https://openalex.org/W2042380163","https://openalex.org/W2109864780","https://openalex.org/W2135323982","https://openalex.org/W2199030177","https://openalex.org/W2272734204","https://openalex.org/W2330022088","https://openalex.org/W2412806478","https://openalex.org/W2462427549","https://openalex.org/W2475182701","https://openalex.org/W2514760288","https://openalex.org/W2576740845","https://openalex.org/W2598325871","https://openalex.org/W2606129858","https://openalex.org/W2626429397","https://openalex.org/W2752418289","https://openalex.org/W2765500743","https://openalex.org/W2802476378","https://openalex.org/W2885816989","https://openalex.org/W2905418984","https://openalex.org/W2947984682","https://openalex.org/W3000793732","https://openalex.org/W3015166063","https://openalex.org/W3031333945","https://openalex.org/W3044692478","https://openalex.org/W3116610937","https://openalex.org/W3121335749","https://openalex.org/W3151288796","https://openalex.org/W4211007335","https://openalex.org/W4237286649","https://openalex.org/W6963793368"],"related_works":["https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W2184441312","https://openalex.org/W85606319","https://openalex.org/W2078650680","https://openalex.org/W1889703431","https://openalex.org/W4361984403","https://openalex.org/W2130782655","https://openalex.org/W2989705030","https://openalex.org/W2741782745"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"constrained":[4],"multistage":[5],"machines":[6],"flow-shop":[7],"(FS)":[8],"scheduling":[9],"model":[10,39],"in":[11,33],"which":[12],"processing":[13],"times,":[14],"job":[15],"weights,":[16],"and":[17,67,91],"break-down":[18],"machine":[19],"time":[20,72],"are":[21,27],"characterized":[22],"by":[23],"fuzzy":[24,51,95],"numbers":[25,52],"that":[26],"piecewise":[28,49],"as":[29,31],"well":[30],"quadratic":[32,50],"nature.":[34],"Avoiding":[35],"to":[36,63,82,88],"convert":[37],"the":[38,43,48,64,69,79,93,104,107],"into":[40],"its":[41],"crisp,":[42],"closed":[44],"interval":[45],"approximation":[46],"for":[47,84,103],"is":[53,101],"incorporated.":[54],"The":[55,75],"suggested":[56,108],"method":[57],"leads":[58],"a":[59],"noncrossing":[60],"optimal":[61],"sequence":[62],"considered":[65],"problem":[66],"minimizes":[68,92],"total":[70,94],"elapsed":[71,96],"under":[73],"fuzziness.":[74],"proposed":[76],"approach":[77],"helps":[78],"decision":[80],"maker":[81],"search":[83],"applicable":[85],"solution":[86],"related":[87],"real-world":[89],"problems":[90],"time.":[97],"A":[98],"numerical":[99],"example":[100],"provided":[102],"illustration":[105],"of":[106],"methodology.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
