{"id":"https://openalex.org/W2898306420","doi":"https://doi.org/10.1109/access.2018.2877791","title":"A Differential-Based Harmony Search Algorithm With Variable Neighborhood Search for Job Shop Scheduling Problem and Its Runtime Analysis","display_name":"A Differential-Based Harmony Search Algorithm With Variable Neighborhood Search for Job Shop Scheduling Problem and Its Runtime Analysis","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2898306420","doi":"https://doi.org/10.1109/access.2018.2877791","mag":"2898306420"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2877791","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2877791","pdf_url":null,"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://doi.org/10.1109/access.2018.2877791","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005435119","display_name":"Fuqing Zhao","orcid":"https://orcid.org/0000-0002-7336-9699"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fuqing Zhao","raw_affiliation_strings":["School of Computer and Communication Technology, Lanzhou University of Technology, Lanzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-7336-9699","affiliations":[{"raw_affiliation_string":"School of Computer and Communication Technology, Lanzhou University of Technology, Lanzhou, China","institution_ids":["https://openalex.org/I22716506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087820845","display_name":"Shuo Qin","orcid":"https://orcid.org/0000-0003-1751-9821"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuo Qin","raw_affiliation_strings":["School of Computer and Communication Technology, Lanzhou University of Technology, Lanzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Technology, Lanzhou University of Technology, Lanzhou, China","institution_ids":["https://openalex.org/I22716506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007413500","display_name":"Guoqiang Yang","orcid":"https://orcid.org/0000-0002-9260-7365"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoqiang Yang","raw_affiliation_strings":["School of Computer and Communication Technology, Lanzhou University of Technology, Lanzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Technology, Lanzhou University of Technology, Lanzhou, China","institution_ids":["https://openalex.org/I22716506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103257513","display_name":"Weimin Ma","orcid":"https://orcid.org/0000-0003-1334-0250"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weimin Ma","raw_affiliation_strings":["School of Economics and Management, Tongji University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067712887","display_name":"Chuck Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chuck Zhang","raw_affiliation_strings":["H. Milton Stewart School of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045507812","display_name":"Houbin Song","orcid":"https://orcid.org/0000-0002-3084-8526"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Houbin Song","raw_affiliation_strings":["School of Computer and Communication Technology, Lanzhou University of Technology, Lanzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Technology, Lanzhou University of Technology, Lanzhou, China","institution_ids":["https://openalex.org/I22716506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5005435119"],"corresponding_institution_ids":["https://openalex.org/I22716506"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":3.0286,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.92582997,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"76313","last_page":"76330"},"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":0.9975000023841858,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/harmony-search","display_name":"Harmony search","score":0.9185104370117188},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.6859948635101318},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.6104978919029236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5980471968650818},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5504565834999084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5004124641418457},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.46455734968185425},{"id":"https://openalex.org/keywords/variable-neighborhood-search","display_name":"Variable neighborhood search","score":0.4187059700489044},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.3975904881954193},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.270599901676178},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.2693555951118469},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25273454189300537}],"concepts":[{"id":"https://openalex.org/C33099171","wikidata":"https://www.wikidata.org/wiki/Q26208718","display_name":"Harmony search","level":2,"score":0.9185104370117188},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.6859948635101318},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.6104978919029236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5980471968650818},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5504565834999084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5004124641418457},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.46455734968185425},{"id":"https://openalex.org/C2776435737","wikidata":"https://www.wikidata.org/wiki/Q7915703","display_name":"Variable neighborhood search","level":3,"score":0.4187059700489044},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.3975904881954193},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.270599901676178},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.2693555951118469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25273454189300537},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/access.2018.2877791","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2877791","pdf_url":null,"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:ir.lzu.edu.cn/:262010/292326","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/292326","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:b66b13dc04d64cb5bb6edd11925a35b8","is_oa":true,"landing_page_url":"https://doaj.org/article/b66b13dc04d64cb5bb6edd11925a35b8","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 6, Pp 76313-76330 (2018)","raw_type":"article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/268704","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/268704","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"\u671f\u520a\u8bba\u6587"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2877791","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2877791","pdf_url":null,"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/8","score":0.6499999761581421,"display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G5790887168","display_name":null,"funder_award_id":"2013T60889","funder_id":"https://openalex.org/F4320325188","funder_display_name":"Lanzhou University of Technology"},{"id":"https://openalex.org/G5984330133","display_name":null,"funder_award_id":"2012M521802","funder_id":"https://openalex.org/F4320325188","funder_display_name":"Lanzhou University of Technology"},{"id":"https://openalex.org/G773880377","display_name":"\u590d\u6742\u52a8\u6001\u6267\u884c\u73af\u5883\u4e0bHMS\u7cfb\u7edf\u7684\u91cd\u6784\u673a\u5236\u4e0e\u8c03\u5ea6\u7406\u8bba\u7814\u7a76","funder_award_id":"61663023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8213925019","display_name":null,"funder_award_id":"J201405","funder_id":"https://openalex.org/F4320325188","funder_display_name":"Lanzhou University of Technology"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320325188","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W414834736","https://openalex.org/W641032154","https://openalex.org/W977212209","https://openalex.org/W1147614125","https://openalex.org/W1188900263","https://openalex.org/W1969590301","https://openalex.org/W1970867026","https://openalex.org/W1987552402","https://openalex.org/W1991791873","https://openalex.org/W1993885071","https://openalex.org/W1999284878","https://openalex.org/W2003092855","https://openalex.org/W2006389447","https://openalex.org/W2010890795","https://openalex.org/W2013252181","https://openalex.org/W2021560378","https://openalex.org/W2029630854","https://openalex.org/W2031409887","https://openalex.org/W2035982916","https://openalex.org/W2048687263","https://openalex.org/W2049967755","https://openalex.org/W2069721696","https://openalex.org/W2070389897","https://openalex.org/W2071315752","https://openalex.org/W2078020766","https://openalex.org/W2087138863","https://openalex.org/W2089907543","https://openalex.org/W2092085279","https://openalex.org/W2099239187","https://openalex.org/W2122967269","https://openalex.org/W2133865390","https://openalex.org/W2137340504","https://openalex.org/W2156391157","https://openalex.org/W2156773695","https://openalex.org/W2157846217","https://openalex.org/W2261066338","https://openalex.org/W2288712476","https://openalex.org/W2310612427","https://openalex.org/W2321699079","https://openalex.org/W2460536002","https://openalex.org/W2510957045","https://openalex.org/W2516767931","https://openalex.org/W2592507883","https://openalex.org/W2598303025","https://openalex.org/W2747755509","https://openalex.org/W2754679757","https://openalex.org/W2790438432","https://openalex.org/W2796901248","https://openalex.org/W2809169054","https://openalex.org/W2897929222","https://openalex.org/W3036035835","https://openalex.org/W4229668875","https://openalex.org/W4246603859","https://openalex.org/W4252732074","https://openalex.org/W6779748562"],"related_works":["https://openalex.org/W2163159199","https://openalex.org/W101238908","https://openalex.org/W2103576719","https://openalex.org/W2947560935","https://openalex.org/W1967142828","https://openalex.org/W2156819531","https://openalex.org/W2945196329","https://openalex.org/W2568166236","https://openalex.org/W1975572806","https://openalex.org/W2759139055"],"abstract_inverted_index":{"Job":[0],"shop":[1],"scheduling":[2],"problem":[3],"(JSSP)":[4],"has":[5],"drawn":[6],"a":[7,27,69,145,175,201],"lot":[8],"of":[9,15,46,87,96,122,156,177,191,208],"attention":[10],"as":[11],"it":[12],"is":[13,38,55,65,80,101,116,129,138,158,183],"one":[14],"the":[16,44,50,61,84,90,93,97,105,109,112,120,123,132,135,149,154,162,181,186],"vital":[17],"combinational":[18],"optimization":[19,59,206],"problems":[20,207],"in":[21,189],"manufacturing":[22],"systems.":[23,212],"In":[24,89],"this":[25],"paper,":[26],"differential-based":[28,113],"harmony":[29,52,70,99,151],"search":[30,36,53,85,143],"(DHS)":[31],"algorithm":[32,54],"with":[33,43,166],"variable":[34],"neighborhood":[35],"(VNS)":[37],"proposed":[39],"for":[40,57,144,204],"solving":[41,205],"JSSP":[42],"objective":[45],"minimized":[47],"makespan.":[48],"Since":[49],"standard":[51],"constructed":[56],"global":[58],"problems,":[60],"smallest":[62],"position":[63],"value":[64],"introduced":[66],"to":[67,72,82,103,118,142,161,185],"map":[68],"vector":[71],"an":[73],"active":[74,77],"schedule.":[75],"The":[76,125,198],"decoding":[78],"scheme":[79],"employed":[81,102],"improve":[83],"efficiency":[86],"DHS.":[88],"pitch-adjustment":[91,110],"process,":[92,111],"best":[94],"individual":[95],"current":[98,150],"memory":[100],"accelerate":[104],"convergence":[106,194],"speed.":[107],"After":[108],"enhanced":[114],"mechanism":[115],"designed":[117],"maintain":[119],"diversity":[121],"population.":[124],"modified":[126],"VNS,":[127],"which":[128],"based":[130],"on":[131,134,174],"blocks":[133],"critical":[136],"path,":[137],"embedded":[139],"into":[140],"DHS":[141,157,182,199],"better":[146],"solution":[147,192],"around":[148],"vector.":[152],"Besides,":[153],"runtime":[155],"analyzed":[159],"according":[160],"level-based":[163],"theorem.":[164],"Compared":[165],"various":[167],"HSbased":[168],"algorithms":[169,173,188],"and":[170,196,210],"other":[171],"state-of-the-art":[172],"set":[176],"typical":[178],"benchmark":[179],"instances,":[180],"superior":[184],"compared":[187],"terms":[190],"quality,":[193],"speed,":[195],"stability.":[197],"lays":[200],"solid":[202],"foundation":[203],"expert":[209],"intelligent":[211]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2018-11-02T00:00:00"}
