{"id":"https://openalex.org/W2549915099","doi":"https://doi.org/10.1155/2016/5127253","title":"Robust Parallel Machine Scheduling Problem with Uncertainties and Sequence-Dependent Setup Time","display_name":"Robust Parallel Machine Scheduling Problem with Uncertainties and Sequence-Dependent Setup Time","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2549915099","doi":"https://doi.org/10.1155/2016/5127253","mag":"2549915099"},"language":"en","primary_location":{"id":"doi:10.1155/2016/5127253","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/5127253","pdf_url":"http://downloads.hindawi.com/journals/sp/2016/5127253.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://downloads.hindawi.com/journals/sp/2016/5127253.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101887206","display_name":"Hongtao Hu","orcid":"https://orcid.org/0000-0003-4406-0403"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongtao Hu","raw_affiliation_strings":["Logistics Engineering College, Shanghai Maritime University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-4406-0403","affiliations":[{"raw_affiliation_string":"Logistics Engineering College, Shanghai Maritime University, Shanghai, China","institution_ids":["https://openalex.org/I96733725"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023114656","display_name":"Kam K.H. Ng","orcid":"https://orcid.org/0000-0002-4959-0502"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"K. K. H. Ng","raw_affiliation_strings":["Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-4959-0502","affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025200591","display_name":"Yichen Qin","orcid":"https://orcid.org/0000-0002-7683-0006"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yichen Qin","raw_affiliation_strings":["Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023114656"],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":{"value":2000,"currency":"USD","value_usd":2000},"apc_paid":{"value":2000,"currency":"USD","value_usd":2000},"fwci":3.3568,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.92277218,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"2016","issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":1.0,"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":1.0,"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":0.9973000288009644,"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":0.9955999851226807,"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/regret","display_name":"Regret","score":0.8486132621765137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7036846876144409},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6458974480628967},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.5694290399551392},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5666040778160095},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5281593799591064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.460421085357666},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.4347694516181946},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4132643938064575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.250968873500824},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08020135760307312}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.8486132621765137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7036846876144409},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6458974480628967},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.5694290399551392},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5666040778160095},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5281593799591064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.460421085357666},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.4347694516181946},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4132643938064575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.250968873500824},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08020135760307312},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2016/5127253","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/5127253","pdf_url":"http://downloads.hindawi.com/journals/sp/2016/5127253.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Programming","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b3ed4d7c20b2415fb4ad95cf6aa12057","is_oa":true,"landing_page_url":"https://doaj.org/article/b3ed4d7c20b2415fb4ad95cf6aa12057","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":"Scientific Programming, Vol 2016 (2016)","raw_type":"article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/65712","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/65712","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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":null,"raw_type":"Journal/Magazine Article"}],"best_oa_location":{"id":"doi:10.1155/2016/5127253","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/5127253","pdf_url":"http://downloads.hindawi.com/journals/sp/2016/5127253.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3757199713","display_name":null,"funder_award_id":"QD2015041","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4844264677","display_name":"\u9488\u5bf9\u5927\u89c4\u6a21\u590d\u6742\u5236\u9020\u7cfb\u7edf\u591a\u91cd\u5165\u591a\u74f6\u9888\u7279\u5f81\u7684\u6df7\u5408\u667a\u80fd\u8c03\u5ea6\u4f18\u5316\u65b9\u6cd5\u7814\u7a76","funder_award_id":"71201099","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5356319224","display_name":null,"funder_award_id":"14YZ111","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G585070736","display_name":null,"funder_award_id":"13PJC066","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6463915193","display_name":null,"funder_award_id":"ZZshhs13021","funder_id":"https://openalex.org/F4320335095","funder_display_name":"Department of Industrial and Systems Engineering, Hong Kong Polytechnic University"},{"id":"https://openalex.org/G7134230711","display_name":null,"funder_award_id":"13PJC066","funder_id":"https://openalex.org/F4320335095","funder_display_name":"Department of Industrial and Systems Engineering, Hong Kong Polytechnic University"},{"id":"https://openalex.org/G7138050787","display_name":null,"funder_award_id":"ZZshhs13021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7750527455","display_name":null,"funder_award_id":"71201099","funder_id":"https://openalex.org/F4320335095","funder_display_name":"Department of Industrial and Systems Engineering, Hong Kong Polytechnic University"},{"id":"https://openalex.org/G8237213618","display_name":null,"funder_award_id":"R-U8H","funder_id":"https://openalex.org/F4320335095","funder_display_name":"Department of Industrial and Systems Engineering, Hong Kong Polytechnic University"},{"id":"https://openalex.org/G8367717909","display_name":null,"funder_award_id":"14YZ111","funder_id":"https://openalex.org/F4320335095","funder_display_name":"Department of Industrial and Systems Engineering, Hong Kong Polytechnic University"},{"id":"https://openalex.org/G8512813647","display_name":null,"funder_award_id":"QD2015041","funder_id":"https://openalex.org/F4320335095","funder_display_name":"Department of Industrial and Systems Engineering, Hong Kong Polytechnic University"},{"id":"https://openalex.org/G8984872404","display_name":null,"funder_award_id":"14YZ111","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"},{"id":"https://openalex.org/F4320321881","display_name":"Shanghai Municipal Education Commission","ror":"https://ror.org/05tewj457"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"},{"id":"https://openalex.org/F4320335095","display_name":"Department of Industrial and Systems Engineering, Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2549915099.pdf","grobid_xml":"https://content.openalex.org/works/W2549915099.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1147962567","https://openalex.org/W1569805180","https://openalex.org/W1584428002","https://openalex.org/W1832367579","https://openalex.org/W1965367276","https://openalex.org/W1966028860","https://openalex.org/W1967992532","https://openalex.org/W1971067727","https://openalex.org/W1974384303","https://openalex.org/W1976904891","https://openalex.org/W1977254285","https://openalex.org/W1983527457","https://openalex.org/W1983657685","https://openalex.org/W1983963119","https://openalex.org/W1985978353","https://openalex.org/W1987126439","https://openalex.org/W2008541173","https://openalex.org/W2018085196","https://openalex.org/W2022645694","https://openalex.org/W2023727736","https://openalex.org/W2028589351","https://openalex.org/W2039863186","https://openalex.org/W2040729500","https://openalex.org/W2046840684","https://openalex.org/W2051407192","https://openalex.org/W2053887592","https://openalex.org/W2055423534","https://openalex.org/W2055851110","https://openalex.org/W2059439429","https://openalex.org/W2063143176","https://openalex.org/W2067999800","https://openalex.org/W2071213228","https://openalex.org/W2095003951","https://openalex.org/W2099045674","https://openalex.org/W2160575059","https://openalex.org/W2161704166","https://openalex.org/W2283500179","https://openalex.org/W2399161556","https://openalex.org/W2474005219"],"related_works":["https://openalex.org/W2971351794","https://openalex.org/W4376155396","https://openalex.org/W1947085858","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W2101991911","https://openalex.org/W2155070487","https://openalex.org/W4311589891","https://openalex.org/W3123835761","https://openalex.org/W3204654320"],"abstract_inverted_index":{"A":[0,105],"parallel":[1],"machine":[2],"scheduling":[3],"problem":[4],"in":[5,10,26,101,158],"plastic":[6],"production":[7],"is":[8,57,69,88,128,140],"studied":[9],"this":[11,14],"paper.":[12],"In":[13,30],"problem,":[15],"the":[16,50,91,119,137,147,151,155],"processing":[17],"time":[18,21,54],"and":[19,111,146,163],"arrival":[20],"are":[22,115],"uncertain":[23],"but":[24],"lie":[25],"their":[27],"respective":[28],"intervals.":[29],"addition,":[31],"each":[32,97],"job":[33],"must":[34],"be":[35],"processed":[36],"together":[37],"with":[38],"a":[39,80,122],"mold":[40,56],"while":[41],"jobs":[42,62],"which":[43,68],"belong":[44,64],"to":[45,65,78,117,130],"one":[46],"family":[47],"can":[48],"share":[49],"same":[51],"mold.":[52],"Therefore,":[53],"changing":[55],"required":[58],"for":[59,96],"two":[60],"consecutive":[61],"that":[63,90,150],"different":[66],"families,":[67],"known":[70],"as":[71],"sequence-dependent":[72],"setup":[73],"time.":[74,165],"This":[75],"paper":[76],"aims":[77],"identify":[79],"robust":[81],"schedule":[82],"by":[83],"min\u2013max":[84],"regret":[85,95],"criterion.":[86],"It":[87],"proved":[89],"scenario":[92],"incurring":[93],"maximal":[94],"feasible":[98],"solution":[99],"lies":[100],"finite":[102],"extreme":[103],"scenarios.":[104],"mixed":[106],"integer":[107],"linear":[108],"programming":[109],"formulation":[110],"an":[112],"exact":[113,156],"algorithm":[114,127,139,153],"proposed":[116,152],"solve":[118,131],"problem.":[120],"Moreover,":[121],"modified":[123],"artificial":[124],"bee":[125],"colony":[126],"developed":[129],"large-scale":[132],"problems.":[133],"The":[134],"performance":[135],"of":[136,160],"presented":[138],"evaluated":[141],"through":[142],"extensive":[143],"computational":[144,164],"experiments":[145],"results":[148],"show":[149],"surpasses":[154],"method":[157],"terms":[159],"objective":[161],"value":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
