{"id":"https://openalex.org/W4387129580","doi":"https://doi.org/10.1109/tase.2023.3313565","title":"Problem Formulation and Solution Methodology of Energy Consumption Optimization for Two-Machine Geometric Serial Lines","display_name":"Problem Formulation and Solution Methodology of Energy Consumption Optimization for Two-Machine Geometric Serial Lines","publication_year":2023,"publication_date":"2023-09-28","ids":{"openalex":"https://openalex.org/W4387129580","doi":"https://doi.org/10.1109/tase.2023.3313565"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2023.3313565","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3313565","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Automation Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043647130","display_name":"Chao-Bo Yan","orcid":"https://orcid.org/0000-0002-6396-0610"},"institutions":[{"id":"https://openalex.org/I4210141776","display_name":"China XD Group (China)","ror":"https://ror.org/04ceqst84","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210141776"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao-Bo Yan","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering, Xi&#x2019;an, Shaanxi, China","State Key Laboratory for Manufacturing Systems Engineering, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-6396-0610","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi&#x2019;an, Shaanxi, China","institution_ids":["https://openalex.org/I4210141776"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi&#x2019;an, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029698503","display_name":"Lingchen Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141776","display_name":"China XD Group (China)","ror":"https://ror.org/04ceqst84","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210141776"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lingchen Liu","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering, Xi&#x2019;an, Shaanxi, China","State Key Laboratory for Manufacturing Systems Engineering, Xi&#x2019;an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi&#x2019;an, Shaanxi, China","institution_ids":["https://openalex.org/I4210141776"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi&#x2019;an, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210141776"],"apc_list":null,"apc_paid":null,"fwci":1.1366,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79560569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"22","issue":null,"first_page":"18088","last_page":"18101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9940000176429749,"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":0.9940000176429749,"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/T11954","display_name":"Energy Efficiency and Management","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9664000272750854,"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/energy-consumption","display_name":"Energy consumption","score":0.7488439083099365},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6832597255706787},{"id":"https://openalex.org/keywords/production-line","display_name":"Production line","score":0.5911505818367004},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5300682783126831},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5297982096672058},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5165690183639526},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5025472640991211},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4696865379810333},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.4537631571292877},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.4483095109462738},{"id":"https://openalex.org/keywords/geometric-programming","display_name":"Geometric programming","score":0.44443479180336},{"id":"https://openalex.org/keywords/energy-accounting","display_name":"Energy accounting","score":0.420244038105011},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.41133207082748413},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.26191017031669617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21710562705993652},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.11099356412887573}],"concepts":[{"id":"https://openalex.org/C2780165032","wikidata":"https://www.wikidata.org/wiki/Q16869822","display_name":"Energy consumption","level":2,"score":0.7488439083099365},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6832597255706787},{"id":"https://openalex.org/C99862985","wikidata":"https://www.wikidata.org/wiki/Q10858068","display_name":"Production line","level":2,"score":0.5911505818367004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5300682783126831},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5297982096672058},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5165690183639526},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5025472640991211},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4696865379810333},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.4537631571292877},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.4483095109462738},{"id":"https://openalex.org/C20729856","wikidata":"https://www.wikidata.org/wiki/Q2078279","display_name":"Geometric programming","level":2,"score":0.44443479180336},{"id":"https://openalex.org/C132853815","wikidata":"https://www.wikidata.org/wiki/Q1341254","display_name":"Energy accounting","level":3,"score":0.420244038105011},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.41133207082748413},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26191017031669617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21710562705993652},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.11099356412887573},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2023.3313565","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3313565","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.800000011920929}],"awards":[{"id":"https://openalex.org/G5507755593","display_name":null,"funder_award_id":"72250710683","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W588098693","https://openalex.org/W1564303924","https://openalex.org/W1970636741","https://openalex.org/W1976994634","https://openalex.org/W1988260686","https://openalex.org/W1991831291","https://openalex.org/W1996246189","https://openalex.org/W2005785149","https://openalex.org/W2025057740","https://openalex.org/W2025195315","https://openalex.org/W2025491981","https://openalex.org/W2025966011","https://openalex.org/W2026535404","https://openalex.org/W2065425745","https://openalex.org/W2197280888","https://openalex.org/W2328836704","https://openalex.org/W2553965176","https://openalex.org/W2621738278","https://openalex.org/W2734493020","https://openalex.org/W2799418757","https://openalex.org/W2883289752","https://openalex.org/W2889055700","https://openalex.org/W2900034157","https://openalex.org/W2905022744","https://openalex.org/W2921163314","https://openalex.org/W3003255885","https://openalex.org/W3009258024","https://openalex.org/W3009840077","https://openalex.org/W3092039478","https://openalex.org/W3093043750","https://openalex.org/W3110880574","https://openalex.org/W3153210659","https://openalex.org/W3167455511","https://openalex.org/W3169851086","https://openalex.org/W3190662310","https://openalex.org/W3217700622","https://openalex.org/W4280607894","https://openalex.org/W4285228291","https://openalex.org/W4296019323","https://openalex.org/W4296550357","https://openalex.org/W4311271746"],"related_works":["https://openalex.org/W1982340762","https://openalex.org/W4245144035","https://openalex.org/W4288489476","https://openalex.org/W2787752029","https://openalex.org/W4247266553","https://openalex.org/W2782026925","https://openalex.org/W4239270252","https://openalex.org/W1636746500","https://openalex.org/W2376537495","https://openalex.org/W2303389871"],"abstract_inverted_index":{"Manufacturing":[0],"systems":[1],"consume":[2],"a":[3,11,52,63,76,267],"tremendous":[4],"amount":[5],"of":[6,13,36,71,115,125,139,169],"energy":[7,29,34,47,69,117,161,166,245],"and":[8,31,92,104,146,163,172,208,252,279,287],"contribute":[9],"about":[10],"quarter":[12],"greenhouse":[14],"gas":[15],"emissions.":[16],"To":[17],"achieve":[18],"the":[19,27,33,46,68,72,112,116,123,126,140,160,165,176,187,205,212,232,244,256,261],"sustainable":[20],"production,":[21],"it":[22,59,237],"is":[23,56,60,108,134,192,234,238,264],"vital":[24],"to":[25,110,131,154,219,242,275],"reduce":[26],"total":[28],"consumption":[30,48,70,118,162,246],"improve":[32],"efficiency":[35,167],"manufacturing":[37,41,157],"systems,":[38,158],"especially":[39],"energy-intensive":[40,156],"systems.":[42,230],"In":[43,121,175,200],"this":[44,81,201,270],"paper,":[45,202],"optimization":[49,119,247],"problem":[50,141,206,248],"for":[51,195,211,249],"two-machine":[53,213],"geometric":[54,222,250,277],"line":[55,214,262],"investigated.":[57],"Specifically,":[58],"formulated":[61],"as":[62,152,266],"nonlinear":[64,82],"programming":[65,83],"which":[66,191,224],"minimizes":[67],"system":[73,132],"while":[74],"maintaining":[75],"required":[77],"production":[78,198,280],"rate.":[79],"For":[80],"with":[84,129,142,215,221,282],"complex":[85],"constraints,":[86],"two":[87],"optimality":[88],"equations":[89],"are":[90,96,150,168,258],"explored":[91],"their":[93],"mathematical":[94],"properties":[95],"analyzed.":[97,135],"Based":[98],"on":[99,255],"these":[100],"properties,":[101],"an":[102,143],"effective":[103],"computationally":[105],"efficient":[106],"algorithm":[107],"developed":[109],"solve":[111,243],"optimal":[113,127],"solution":[114,128,209],"problem.":[120],"addition,":[122],"sensitivity":[124],"respect":[130],"parameters":[133],"Finally,":[136],"several":[137],"extensions":[138],"alternative":[144],"objective":[145],"more":[147,240,253,283],"practical":[148,229],"considerations,":[149],"addressed":[151],"well.Note":[153],"Practitioners\u2014For":[155],"reducing":[159],"improving":[164],"both":[170],"economic":[171],"ecological":[173],"significance.":[174],"literature,":[177],"almost":[178],"all":[179],"existing":[180],"related":[181],"researches":[182],"assume":[183],"that":[184,220],"machines":[185],"obey":[186],"Bernoulli":[188,216],"reliability":[189,217,289],"model,":[190,223],"not":[193],"applicable":[194],"modeling":[196],"some":[197],"lines.":[199],"we":[203],"extend":[204],"formulation":[207],"methodology":[210],"model":[218],"has":[225],"wider":[226],"applications":[227],"in":[228],"However,":[231],"extension":[233],"non-trivial":[235],"since":[236],"much":[239],"complicated":[241],"lines":[251,278,281],"insights":[254],"results":[257],"gained.":[259],"Although":[260],"studied":[263],"short,":[265],"step":[268],"stone,":[269],"research":[271],"will":[272],"be":[273],"extended":[274],"long":[276],"practical,":[284],"e.g.,":[285],"exponential":[286],"non-exponential,":[288],"models.":[290]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
