{"id":"https://openalex.org/W3025562615","doi":"https://doi.org/10.1109/access.2020.2993857","title":"Dynamic Programming Algorithms for Two-Machine Hybrid Flow-Shop Scheduling With a Given Job Sequence and Deadline","display_name":"Dynamic Programming Algorithms for Two-Machine Hybrid Flow-Shop Scheduling With a Given Job Sequence and Deadline","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3025562615","doi":"https://doi.org/10.1109/access.2020.2993857","mag":"3025562615"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2993857","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2993857","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09091166.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/ielx7/6287639/8948470/09091166.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101612612","display_name":"Qi Wei","orcid":"https://orcid.org/0000-0001-9852-5902"},"institutions":[{"id":"https://openalex.org/I4210153915","display_name":"Ningbo University Affiliated Hospital","ror":"https://ror.org/045rymn14","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210153915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi Wei","raw_affiliation_strings":["Ningbo University of Finance and Economics, Ningbo, China"],"raw_orcid":"https://orcid.org/0000-0001-9852-5902","affiliations":[{"raw_affiliation_string":"Ningbo University of Finance and Economics, Ningbo, China","institution_ids":["https://openalex.org/I4210153915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101832977","display_name":"Yong Wu","orcid":"https://orcid.org/0000-0001-8515-708X"},"institutions":[{"id":"https://openalex.org/I4210153915","display_name":"Ningbo University Affiliated Hospital","ror":"https://ror.org/045rymn14","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210153915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wu","raw_affiliation_strings":["Ningbo University of Finance and Economics, Ningbo, China"],"raw_orcid":"https://orcid.org/0000-0001-8515-708X","affiliations":[{"raw_affiliation_string":"Ningbo University of Finance and Economics, Ningbo, China","institution_ids":["https://openalex.org/I4210153915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101612612"],"corresponding_institution_ids":["https://openalex.org/I4210153915"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.9031,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79469884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"8","issue":null,"first_page":"89964","last_page":"89975"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9958999752998352,"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/T12288","display_name":"Optimization and Search Problems","score":0.9951000213623047,"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/computer-science","display_name":"Computer science","score":0.7723037004470825},{"id":"https://openalex.org/keywords/flow-shop-scheduling","display_name":"Flow shop scheduling","score":0.7189668416976929},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5163984894752502},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4812019169330597},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.4696924686431885},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.4521428048610687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.426408588886261},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3688134551048279},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23041662573814392},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.14863669872283936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09605690836906433},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.09525319933891296}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7723037004470825},{"id":"https://openalex.org/C158336966","wikidata":"https://www.wikidata.org/wiki/Q3074426","display_name":"Flow shop scheduling","level":4,"score":0.7189668416976929},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5163984894752502},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4812019169330597},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.4696924686431885},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.4521428048610687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.426408588886261},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3688134551048279},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23041662573814392},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.14863669872283936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09605690836906433},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.09525319933891296},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2993857","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2993857","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09091166.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4d29e078f9904a009040011c7973aa5e","is_oa":true,"landing_page_url":"https://doaj.org/article/4d29e078f9904a009040011c7973aa5e","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 8, Pp 89964-89975 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2993857","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2993857","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09091166.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/8","display_name":"Decent work and economic growth","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G1828429593","display_name":null,"funder_award_id":"2019A610095","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2432726868","display_name":null,"funder_award_id":"LY19A010002","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G4062283647","display_name":null,"funder_award_id":"2019A610048","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4580875912","display_name":null,"funder_award_id":"19BGL001","funder_id":"https://openalex.org/F4320327557","funder_display_name":"National Office for Philosophy and Social Sciences"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327557","display_name":"National Office for Philosophy and Social Sciences","ror":"https://ror.org/04m0ms912"},{"id":"https://openalex.org/F4320332587","display_name":"Natural Science Foundation of Ningbo","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335869","display_name":"National Social Science Fund of China","ror":null},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3025562615.pdf","grobid_xml":"https://content.openalex.org/works/W3025562615.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1997014519","https://openalex.org/W2032285979","https://openalex.org/W2045841722","https://openalex.org/W2072542613","https://openalex.org/W2081580328","https://openalex.org/W2084230876","https://openalex.org/W2147198753","https://openalex.org/W2167913800","https://openalex.org/W2330133435","https://openalex.org/W2331972953","https://openalex.org/W2461394630","https://openalex.org/W2475182701","https://openalex.org/W2626058839","https://openalex.org/W2736936875","https://openalex.org/W2754885645","https://openalex.org/W2797844366","https://openalex.org/W2800210057","https://openalex.org/W2811008753","https://openalex.org/W2911802154","https://openalex.org/W2922269467","https://openalex.org/W2941381154","https://openalex.org/W2951537749","https://openalex.org/W2974310361","https://openalex.org/W2998765444","https://openalex.org/W3007225577","https://openalex.org/W6758692329"],"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":{"In":[0],"\u201cShared":[1],"Manufacturing\u201d":[2],"environment,":[3],"orders":[4],"are":[5,110],"processed":[6,68,87],"in":[7,31,45,173],"a":[8,25,32,38,62,80,101,130],"given":[9,39],"job":[10,40,54,99],"sequence":[11,41],"which":[12,42,65,83],"is":[13,43,61,79,96,124,135,147],"based":[14],"on":[15,69,88],"the":[16,58,72,76,89,93,116,141,155,158,164,169],"time":[17,142,160],"of":[18,20,27,47,71,115,120,144,151,161,171],"receipt":[19],"orders.":[21],"This":[22],"paper":[23],"studies":[24],"problem":[26,117,177],"scheduling":[28],"two-task":[29],"jobs":[30],"two-machine":[33],"hybrid":[34],"flow-shop":[35],"subject":[36],"to":[37,108,126],"used":[44],"production":[46],"electronic":[48],"circuits":[49],"under":[50],"shared":[51],"manufacturing.":[52],"Each":[53,98],"has":[55,100],"two":[56,73],"tasks:":[57],"first":[59,94],"one":[60,78],"flexible":[63],"task,":[64,82],"can":[66,84],"be":[67,86,127],"either":[70],"machines,":[74],"and":[75,140,163,166,182],"second":[77,90],"preassigned":[81],"only":[85],"machine":[91],"after":[92],"task":[95],"finished.":[97],"processing":[102],"deadline.":[103],"Three":[104],"objective":[105,122],"functions":[106,123],"related":[107],"deadlines":[109],"considered.":[111],"The":[112,149],"computational":[113,152],"complexity":[114,143],"for":[118,137],"any":[119],"three":[121],"showed":[125],"ordinary":[128],"NP-hard,":[129],"dynamic":[131],"programming":[132],"algorithm":[133,146,181],"(DPA)":[134],"presented":[136],"each":[138,145],"case":[139],"given.":[148],"results":[150],"experiments":[153],"show":[154,168],"relationship":[156],"between":[157],"running":[159],"DPA":[162,172],"parameters,":[165],"also":[167],"advantages":[170],"dealing":[174],"with":[175,179],"this":[176],"compared":[178],"branch-and-bound":[180],"iterated":[183],"greedy":[184],"algorithm.":[185]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}