{"id":"https://openalex.org/W4382629136","doi":"https://doi.org/10.1109/access.2023.3275533","title":"Permutation Flow Shop Scheduling Optimization Method Based on Cooperative Games","display_name":"Permutation Flow Shop Scheduling Optimization Method Based on Cooperative Games","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4382629136","doi":"https://doi.org/10.1109/access.2023.3275533"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3275533","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3275533","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/10005208/10122967.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/10005208/10122967.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049783684","display_name":"Tingyi Zhang","orcid":"https://orcid.org/0009-0005-6786-0720"},"institutions":[{"id":"https://openalex.org/I83791580","display_name":"Fujian University of Technology","ror":"https://ror.org/03c8fdb16","country_code":"CN","type":"education","lineage":["https://openalex.org/I83791580"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingyi Zhang","raw_affiliation_strings":["School of Management, Fujian University of Technology, Fuzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, Fujian University of Technology, Fuzhou, China","institution_ids":["https://openalex.org/I83791580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101637017","display_name":"Xiaopeng Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I83791580","display_name":"Fujian University of Technology","ror":"https://ror.org/03c8fdb16","country_code":"CN","type":"education","lineage":["https://openalex.org/I83791580"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaopeng Guo","raw_affiliation_strings":["School of Transportation, Fujian University of Technology, Fuzhou, China"],"raw_orcid":"https://orcid.org/0009-0004-9363-4260","affiliations":[{"raw_affiliation_string":"School of Transportation, Fujian University of Technology, Fuzhou, China","institution_ids":["https://openalex.org/I83791580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040335549","display_name":"Guojun Ji","orcid":"https://orcid.org/0000-0001-8882-9777"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guojun Ji","raw_affiliation_strings":["School of Management, Xiamen University, Xiamen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.5643,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7226825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":null,"first_page":"47377","last_page":"47389"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.995199978351593,"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/T12288","display_name":"Optimization and Search Problems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7028928399085999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.635744035243988},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6201043725013733},{"id":"https://openalex.org/keywords/flow-shop-scheduling","display_name":"Flow shop scheduling","score":0.5564838647842407},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5306771397590637},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5132367610931396},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.4757556617259979},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.46078646183013916},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.4376455843448639},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24968373775482178},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18223556876182556},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.15303373336791992}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7028928399085999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.635744035243988},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6201043725013733},{"id":"https://openalex.org/C158336966","wikidata":"https://www.wikidata.org/wiki/Q3074426","display_name":"Flow shop scheduling","level":4,"score":0.5564838647842407},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5306771397590637},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5132367610931396},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.4757556617259979},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.46078646183013916},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.4376455843448639},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24968373775482178},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18223556876182556},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.15303373336791992},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2023.3275533","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3275533","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/10005208/10122967.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9d59142182294b368b02bdba9db0ab24","is_oa":true,"landing_page_url":"https://doaj.org/article/9d59142182294b368b02bdba9db0ab24","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":"IEEE Access, Vol 11, Pp 47377-47389 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3275533","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3275533","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/10005208/10122967.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.5400000214576721}],"awards":[{"id":"https://openalex.org/G246261435","display_name":"\u65b0\u96f6\u552e\u6a21\u5f0f\u4e0b\u8d4b\u80fd\u7269\u6d41\u670d\u52a1\u4f9b\u5e94\u94fe\u6574\u5408\u673a\u5236\u7814\u7a76","funder_award_id":"71871197","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G285641945","display_name":"\u57fa\u4e8e\u987e\u5ba2\u4f53\u9a8c\u8dc3\u8fc1\u7684\u5168\u6e20\u9053\u9000\u8d27\u673a\u5236\u7814\u7a76","funder_award_id":"71872158","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2917642849","display_name":"\u57fa\u4e8e\u5927\u6570\u636e\u7684\u5168\u6e20\u9053\u4f9b\u5e94\u94fe\u670d\u52a1\u521b\u65b0\u673a\u5236\u7814\u7a76","funder_award_id":"71571151","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382629136.pdf","grobid_xml":"https://content.openalex.org/works/W4382629136.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1551623997","https://openalex.org/W1966315227","https://openalex.org/W1969738587","https://openalex.org/W1980086813","https://openalex.org/W1986184589","https://openalex.org/W1987126275","https://openalex.org/W2008877891","https://openalex.org/W2029355323","https://openalex.org/W2058944795","https://openalex.org/W2071639205","https://openalex.org/W2120982537","https://openalex.org/W2121584100","https://openalex.org/W2134081531","https://openalex.org/W2143359650","https://openalex.org/W2249951986","https://openalex.org/W2371931488","https://openalex.org/W2385137616","https://openalex.org/W2513678011","https://openalex.org/W2569217334","https://openalex.org/W2573137292","https://openalex.org/W2743873557","https://openalex.org/W2790763152","https://openalex.org/W2890578992","https://openalex.org/W2972061566","https://openalex.org/W3023755323","https://openalex.org/W3035047433","https://openalex.org/W3092589133","https://openalex.org/W3123886177","https://openalex.org/W3184078521","https://openalex.org/W3201176035","https://openalex.org/W4242143449","https://openalex.org/W6801820233"],"related_works":["https://openalex.org/W2967782293","https://openalex.org/W2185192838","https://openalex.org/W2069961172","https://openalex.org/W2955323683","https://openalex.org/W1564838499","https://openalex.org/W2559484340","https://openalex.org/W26892725","https://openalex.org/W2165758382","https://openalex.org/W1971939018","https://openalex.org/W3155166764"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,87,114],"cooperative":[4,93,182],"games":[5,183],"model":[6,184],"for":[7,162,175],"the":[8,26,38,62,65,78,91,105,118,122,132,135,139,143,146,149,166,176,194,198],"permutation":[9],"flow":[10],"shop":[11],"scheduling":[12,107,168,178],"problem":[13],"(PFSP)":[14],"with":[15],"multiple":[16],"customer":[17],"tasks.":[18,72],"Here,":[19],"customers":[20,164],"create":[21],"alliances":[22],"through":[23],"cooperation":[24],"in":[25,37,64],"case":[27],"of":[28,69,90,108,124,127,142,148,197],"delayed":[29],"and":[30,35,137,152,200],"early":[31],"delivery":[32],"penalty":[33,67],"constraints,":[34],"tasks":[36],"alliance":[39],"are":[40],"rescheduled":[41],"to":[42,103,173,188,191],"seek":[43],"maximum":[44],"cost":[45,161],"savings.":[46],"A":[47,95],"new":[48],"<inline-formula":[49],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[51],"<tex-math":[52],"notation=\"LaTeX\">$\\beta":[53],"$":[54],"</tex-math></inline-formula>":[55],"rule":[56],"allocation":[57,80,84,89,153],"method":[58,85,154],"is":[59,75,86,101,155,170],"proposed":[60,102,181],"considering":[61],"variability":[63],"delay":[66],"factor":[68],"different":[70],"ordered":[71],"Additionally,":[73],"it":[74],"proven":[76],"that":[77],"cost-saving":[79],"resulting":[81],"from":[82],"this":[83],"core":[88],"PFSP":[92],"games.":[94],"hybrid":[96],"particle":[97,115,128],"swarm":[98,116,129],"optimization":[99,140],"algorithm":[100,112],"obtain":[104],"optimal":[106,167],"each":[109],"coalition.":[110],"The":[111,159,180],"uses":[113],"as":[117],"main":[119],"body,":[120],"maintains":[121],"advantage":[123],"fast":[125],"convergence":[126],"optimization,":[130],"increases":[131],"diversity":[133],"among":[134],"population,":[136],"improves":[138],"performance":[141],"algorithm.":[144],"Finally,":[145],"effectiveness":[147],"algorithm,":[150],"model,":[151],"verified":[156],"via":[157],"experiments.":[158],"total":[160],"all":[163],"under":[165],"sequence":[169],"5595.8,":[171],"compared":[172],"6689.8":[174],"initial":[177],"order.":[179],"can":[185],"be":[186],"applied":[187],"various":[189],"enterprises":[190],"better":[192],"satisfy":[193],"diverse":[195],"needs":[196],"market":[199],"customers.":[201]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}