{"id":"https://openalex.org/W4411468171","doi":"https://doi.org/10.3390/axioms14070480","title":"Integrating Group Setup Time Deterioration Effects and Job Processing Time Learning Effects with Group Technology in Single-Machine Green Scheduling","display_name":"Integrating Group Setup Time Deterioration Effects and Job Processing Time Learning Effects with Group Technology in Single-Machine Green Scheduling","publication_year":2025,"publication_date":"2025-06-20","ids":{"openalex":"https://openalex.org/W4411468171","doi":"https://doi.org/10.3390/axioms14070480"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14070480","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070480","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14070480","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Na Yin","orcid":"https://orcid.org/0000-0001-8072-9405"},"institutions":[{"id":"https://openalex.org/I125904092","display_name":"Shenyang Aerospace University","ror":"https://ror.org/02423gm04","country_code":"CN","type":"education","lineage":["https://openalex.org/I125904092"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Na Yin","raw_affiliation_strings":["School of Science, Shenyang Aerospace University, Shenyang 110136, China"],"raw_orcid":"https://orcid.org/0000-0001-8072-9405","affiliations":[{"raw_affiliation_string":"School of Science, Shenyang Aerospace University, Shenyang 110136, China","institution_ids":["https://openalex.org/I125904092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039461117","display_name":"Hongyu He","orcid":"https://orcid.org/0000-0002-6356-6306"},"institutions":[{"id":"https://openalex.org/I42852656","display_name":"Shenyang University","ror":"https://ror.org/04ddfwm68","country_code":"CN","type":"education","lineage":["https://openalex.org/I42852656"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongyu He","raw_affiliation_strings":["Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","School of Economics, Shenyang University, Shenyang 110096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","institution_ids":["https://openalex.org/I42852656"]},{"raw_affiliation_string":"School of Economics, Shenyang University, Shenyang 110096, China","institution_ids":["https://openalex.org/I42852656"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064317159","display_name":"Yanzhi Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I42852656","display_name":"Shenyang University","ror":"https://ror.org/04ddfwm68","country_code":"CN","type":"education","lineage":["https://openalex.org/I42852656"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanzhi Zhao","raw_affiliation_strings":["Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","School of Economics, Shenyang University, Shenyang 110096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","institution_ids":["https://openalex.org/I42852656"]},{"raw_affiliation_string":"School of Economics, Shenyang University, Shenyang 110096, China","institution_ids":["https://openalex.org/I42852656"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112105812","display_name":"Yu Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I42852656","display_name":"Shenyang University","ror":"https://ror.org/04ddfwm68","country_code":"CN","type":"education","lineage":["https://openalex.org/I42852656"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Chang","raw_affiliation_strings":["Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","School of Economics, Shenyang University, Shenyang 110096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","institution_ids":["https://openalex.org/I42852656"]},{"raw_affiliation_string":"School of Economics, Shenyang University, Shenyang 110096, China","institution_ids":["https://openalex.org/I42852656"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100387111","display_name":"Ning Wang","orcid":"https://orcid.org/0000-0002-0829-8337"},"institutions":[{"id":"https://openalex.org/I42852656","display_name":"Shenyang University","ror":"https://ror.org/04ddfwm68","country_code":"CN","type":"education","lineage":["https://openalex.org/I42852656"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Wang","raw_affiliation_strings":["Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","School of Economics, Shenyang University, Shenyang 110096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","institution_ids":["https://openalex.org/I42852656"]},{"raw_affiliation_string":"School of Economics, Shenyang University, Shenyang 110096, China","institution_ids":["https://openalex.org/I42852656"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5039461117"],"corresponding_institution_ids":["https://openalex.org/I42852656"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":12.5228,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.98670046,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"14","issue":"7","first_page":"480","last_page":"480"},"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/T12288","display_name":"Optimization and Search Problems","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9789999723434448,"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/simulated-annealing","display_name":"Simulated annealing","score":0.7734821438789368},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6063110828399658},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5706110596656799},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.5357982516288757},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.5311238765716553},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5128872394561768},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5092340707778931},{"id":"https://openalex.org/keywords/group-technology","display_name":"Group technology","score":0.4846220910549164},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4746295213699341},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.45789769291877747},{"id":"https://openalex.org/keywords/single-machine-scheduling","display_name":"Single-machine scheduling","score":0.4561746120452881},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4387175738811493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25240135192871094},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2314896583557129},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11527138948440552},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.06133925914764404}],"concepts":[{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.7734821438789368},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6063110828399658},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5706110596656799},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.5357982516288757},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.5311238765716553},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5128872394561768},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5092340707778931},{"id":"https://openalex.org/C2780443747","wikidata":"https://www.wikidata.org/wiki/Q3516922","display_name":"Group technology","level":2,"score":0.4846220910549164},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4746295213699341},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.45789769291877747},{"id":"https://openalex.org/C2780271269","wikidata":"https://www.wikidata.org/wiki/Q19295956","display_name":"Single-machine scheduling","level":4,"score":0.4561746120452881},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4387175738811493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25240135192871094},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2314896583557129},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11527138948440552},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.06133925914764404},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14070480","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070480","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0ac023700f8343728c64d10e13dc982b","is_oa":true,"landing_page_url":"https://doaj.org/article/0ac023700f8343728c64d10e13dc982b","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":"Axioms, Vol 14, Iss 7, p 480 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14070480","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070480","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":90,"referenced_works":["https://openalex.org/W1965607231","https://openalex.org/W1982296945","https://openalex.org/W1986310632","https://openalex.org/W1991437907","https://openalex.org/W1997534484","https://openalex.org/W2041126501","https://openalex.org/W2053222356","https://openalex.org/W2074384335","https://openalex.org/W2076178896","https://openalex.org/W2090069860","https://openalex.org/W2094461653","https://openalex.org/W2137958320","https://openalex.org/W2145419507","https://openalex.org/W2212709080","https://openalex.org/W2238640499","https://openalex.org/W2289848854","https://openalex.org/W2460639974","https://openalex.org/W2620809809","https://openalex.org/W2738004730","https://openalex.org/W2799290350","https://openalex.org/W2804274548","https://openalex.org/W2885878376","https://openalex.org/W2899961595","https://openalex.org/W2913148601","https://openalex.org/W2944309189","https://openalex.org/W2948154299","https://openalex.org/W2969248768","https://openalex.org/W2974201054","https://openalex.org/W3005580261","https://openalex.org/W3034470636","https://openalex.org/W3082099499","https://openalex.org/W3094740768","https://openalex.org/W4206659682","https://openalex.org/W4206816655","https://openalex.org/W4220993045","https://openalex.org/W4224268770","https://openalex.org/W4281917512","https://openalex.org/W4285249210","https://openalex.org/W4286210527","https://openalex.org/W4286268183","https://openalex.org/W4303446722","https://openalex.org/W4312213046","https://openalex.org/W4316881743","https://openalex.org/W4366591017","https://openalex.org/W4367176127","https://openalex.org/W4377089140","https://openalex.org/W4380985601","https://openalex.org/W4385781762","https://openalex.org/W4387663802","https://openalex.org/W4388185672","https://openalex.org/W4389392555","https://openalex.org/W4389871193","https://openalex.org/W4390823926","https://openalex.org/W4391211013","https://openalex.org/W4391305314","https://openalex.org/W4391982349","https://openalex.org/W4392947099","https://openalex.org/W4393352750","https://openalex.org/W4393473660","https://openalex.org/W4393990661","https://openalex.org/W4394725630","https://openalex.org/W4394807473","https://openalex.org/W4394887305","https://openalex.org/W4394995938","https://openalex.org/W4395669177","https://openalex.org/W4396695479","https://openalex.org/W4399322996","https://openalex.org/W4400343140","https://openalex.org/W4401536692","https://openalex.org/W4401544040","https://openalex.org/W4401565937","https://openalex.org/W4401578758","https://openalex.org/W4401610564","https://openalex.org/W4401811134","https://openalex.org/W4402000123","https://openalex.org/W4402716733","https://openalex.org/W4402753137","https://openalex.org/W4403002781","https://openalex.org/W4404832893","https://openalex.org/W4405402625","https://openalex.org/W4405625504","https://openalex.org/W4406738026","https://openalex.org/W4407766395","https://openalex.org/W4408814743","https://openalex.org/W4409411125","https://openalex.org/W4410118627","https://openalex.org/W4410153595","https://openalex.org/W6773720931","https://openalex.org/W6857516847","https://openalex.org/W6875182824"],"related_works":["https://openalex.org/W3172150420","https://openalex.org/W2162001022","https://openalex.org/W2092240563","https://openalex.org/W2074319831","https://openalex.org/W2019435278","https://openalex.org/W2088747571","https://openalex.org/W2094800167","https://openalex.org/W2091026364","https://openalex.org/W2020576236","https://openalex.org/W2027082506"],"abstract_inverted_index":{"We":[0,48],"study":[1],"single-machine":[2],"group":[3,7,23,57,59],"green":[4],"scheduling":[5],"considering":[6],"setup":[8,19,32],"time":[9,14,20,33,37,140],"deterioration":[10,27],"effects":[11],"and":[12,34,58,88,91,97,106,135,141],"job-processing":[13],"learning":[15],"effects,":[16],"where":[17],"the":[18,35,52,63,78,102,117,125,149],"of":[21,38,119,132],"a":[22,25,39,42,94],"is":[24,41,69,74,145],"general":[26],"function":[28,44],"on":[29,45,50],"its":[30,46],"starting":[31],"processing":[36],"job":[40,53],"non-increasing":[43],"position.":[47],"focus":[49],"confirming":[51],"schedule":[54,60],"for":[55,61],"each":[56],"minimizing":[62],"total":[64],"weighted":[65],"completion":[66],"time.":[67],"It":[68],"proved":[70],"that":[71,124,142],"this":[72],"problem":[73],"NP-hard.":[75],"According":[76],"to":[77,115],"problem\u2019s":[79],"NP-hardness,":[80],"we":[81],"present":[82],"some":[83],"optimal":[84],"properties":[85],"(including":[86,101],"lower":[87],"upper":[89],"bounds)":[90],"then":[92],"propose":[93],"branch-and-bound":[95,126],"algorithm":[96,105,127],"two":[98],"heuristic":[99],"algorithms":[100],"modified":[103,150],"Nawaz\u2013Enscore\u2013Ham":[104,151],"simulated":[107,143],"annealing":[108,144],"algorithm).":[109],"Finally,":[110],"numerical":[111],"simulations":[112],"are":[113],"provided":[114],"indicate":[116],"effectiveness":[118],"these":[120],"algorithms,":[121],"which":[122],"demonstrates":[123],"can":[128],"solve":[129],"random":[130],"instances":[131],"100":[133],"jobs":[134],"14":[136],"groups":[137],"within":[138],"reasonable":[139],"more":[146],"accurate":[147],"than":[148],"algorithm.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":6}],"updated_date":"2026-05-28T09:10:13.091523","created_date":"2025-10-10T00:00:00"}
