{"id":"https://openalex.org/W2329354063","doi":"https://doi.org/10.1109/tase.2015.2495328","title":"Parallel Machine Scheduling Under Time-of-Use Electricity Prices: New Models and Optimization Approaches","display_name":"Parallel Machine Scheduling Under Time-of-Use Electricity Prices: New Models and Optimization Approaches","publication_year":2015,"publication_date":"2015-12-09","ids":{"openalex":"https://openalex.org/W2329354063","doi":"https://doi.org/10.1109/tase.2015.2495328","mag":"2329354063"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2015.2495328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2015.2495328","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/A5059629167","display_name":"Jian-Ya Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian-Ya Ding","raw_affiliation_strings":["Department of Automation, Tsinghua University, Beijing, PR China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Tsinghua University, Beijing, PR China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068624597","display_name":"Shiji Song","orcid":"https://orcid.org/0000-0001-7361-9283"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiji Song","raw_affiliation_strings":["Xiamen University of Technology, School of Management, Xiamen, PR China"],"affiliations":[{"raw_affiliation_string":"Xiamen University of Technology, School of Management, Xiamen, PR China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100422055","display_name":"Rui Zhang","orcid":"https://orcid.org/0000-0002-5339-6454"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Rui Zhang","raw_affiliation_strings":["The University of Newcastle, School of Design, Communication and Information Technology, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"The University of Newcastle, School of Design, Communication and Information Technology, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027845071","display_name":"Raymond Chiong","orcid":"https://orcid.org/0000-0002-8285-1903"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Raymond Chiong","raw_affiliation_strings":["The University of Newcastle, School of Design, Communication and Information Technology, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"The University of Newcastle, School of Design, Communication and Information Technology, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100752413","display_name":"Cheng Wu","orcid":"https://orcid.org/0000-0002-8611-2665"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Wu","raw_affiliation_strings":["Xiamen University of Technology, School of Management, Xiamen, PR China"],"affiliations":[{"raw_affiliation_string":"Xiamen University of Technology, School of Management, Xiamen, PR China","institution_ids":["https://openalex.org/I75867142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5059629167"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":23.5997,"has_fulltext":false,"cited_by_count":181,"citation_normalized_percentile":{"value":0.99651734,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"13","issue":"2","first_page":"1138","last_page":"1154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9954000115394592,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6782163977622986},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.6707909107208252},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.6380350589752197},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6276847124099731},{"id":"https://openalex.org/keywords/electricity-pricing","display_name":"Electricity pricing","score":0.6193311810493469},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.6173635125160217},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5836812853813171},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4866357743740082},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4669218063354492},{"id":"https://openalex.org/keywords/electricity-generation","display_name":"Electricity generation","score":0.4400866627693176},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4040692150592804},{"id":"https://openalex.org/keywords/electricity-market","display_name":"Electricity market","score":0.3468923270702362},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16786643862724304},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.15704241394996643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1413259506225586}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6782163977622986},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.6707909107208252},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.6380350589752197},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6276847124099731},{"id":"https://openalex.org/C2779280359","wikidata":"https://www.wikidata.org/wiki/Q870344","display_name":"Electricity pricing","level":4,"score":0.6193311810493469},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6173635125160217},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5836812853813171},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4866357743740082},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4669218063354492},{"id":"https://openalex.org/C423512","wikidata":"https://www.wikidata.org/wiki/Q383973","display_name":"Electricity generation","level":3,"score":0.4400866627693176},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4040692150592804},{"id":"https://openalex.org/C146733006","wikidata":"https://www.wikidata.org/wiki/Q676081","display_name":"Electricity market","level":3,"score":0.3468923270702362},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16786643862724304},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.15704241394996643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1413259506225586},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tase.2015.2495328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2015.2495328","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"},{"id":"pmh:uon:24641","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1322731","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W32729003","https://openalex.org/W826685547","https://openalex.org/W1520003103","https://openalex.org/W1546279261","https://openalex.org/W1696146724","https://openalex.org/W1968115262","https://openalex.org/W1970355999","https://openalex.org/W1971949801","https://openalex.org/W1978633301","https://openalex.org/W1984560471","https://openalex.org/W1997898472","https://openalex.org/W2002815701","https://openalex.org/W2006057314","https://openalex.org/W2009990213","https://openalex.org/W2011039300","https://openalex.org/W2012456746","https://openalex.org/W2015368683","https://openalex.org/W2018826517","https://openalex.org/W2021589634","https://openalex.org/W2021712663","https://openalex.org/W2025966011","https://openalex.org/W2028934327","https://openalex.org/W2036163215","https://openalex.org/W2048881595","https://openalex.org/W2060552317","https://openalex.org/W2070907972","https://openalex.org/W2076115766","https://openalex.org/W2080314777","https://openalex.org/W2084576452","https://openalex.org/W2087544904","https://openalex.org/W2092234783","https://openalex.org/W2094051112","https://openalex.org/W2097012753","https://openalex.org/W2105560970","https://openalex.org/W2113957471","https://openalex.org/W2115700971","https://openalex.org/W2118756165","https://openalex.org/W2120350145","https://openalex.org/W2122967269","https://openalex.org/W2125214211","https://openalex.org/W2139242502","https://openalex.org/W2159152246","https://openalex.org/W2161148179","https://openalex.org/W2162009963","https://openalex.org/W2167580124","https://openalex.org/W2170410391","https://openalex.org/W2182596440","https://openalex.org/W4255654664","https://openalex.org/W6601391973","https://openalex.org/W6623295089","https://openalex.org/W6686442239"],"related_works":["https://openalex.org/W2911906655","https://openalex.org/W1556053881","https://openalex.org/W1974421881","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W3116484972","https://openalex.org/W2941986668","https://openalex.org/W1578117578","https://openalex.org/W4232431455"],"abstract_inverted_index":{"The":[0,64,100],"industrial":[1],"sector":[2],"is":[3,66],"one":[4],"of":[5,149],"the":[6,11,15,32,53,69,76,80,104,116,121,144,147,150,155,175,179],"largest":[7],"energy":[8,180],"consumers":[9],"in":[10,28,169],"world.":[12],"To":[13,91],"alleviate":[14],"grid's":[16],"burden":[17],"during":[18],"peak":[19,43],"hours,":[20],"time-of-use":[21],"(TOU)":[22],"electricity":[23,40,71],"pricing":[24,62],"has":[25],"been":[26],"implemented":[27],"many":[29],"countries":[30],"around":[31],"globe":[33],"to":[34,37,45,67,132,166],"encourage":[35],"manufacturers":[36],"shift":[38],"their":[39],"usage":[41],"from":[42],"periods":[44],"off-peak":[46],"periods.":[47],"In":[48,115],"this":[49,93],"paper,":[50],"we":[51,119,158],"study":[52],"unrelated":[54],"parallel":[55],"machine":[56],"scheduling":[57,75],"problem":[58,105,122],"under":[59,139],"a":[60,87,107,128,171],"TOU":[61,141],"scheme.":[63],"objective":[65,177],"minimize":[68],"total":[70],"cost":[72,181],"by":[73],"appropriately":[74],"jobs":[77],"such":[78],"that":[79],"overall":[81],"completion":[82],"time":[83],"does":[84],"not":[85],"exceed":[86],"predetermined":[88],"production":[89],"deadline.":[90],"solve":[92,133],"problem,":[94],"two":[95],"solution":[96],"approaches":[97],"are":[98,137],"presented.":[99],"first":[101],"approach":[102],"models":[103],"with":[106],"new":[108],"time-interval-based":[109],"mixed":[110],"integer":[111],"linear":[112],"programming":[113],"formulation.":[114],"second":[117],"approach,":[118],"reformulate":[120],"using":[123],"Dantzig-Wolfe":[124],"decomposition":[125],"and":[126,143,178],"propose":[127],"column":[129],"generation":[130],"heuristic":[131],"it.":[134],"Computational":[135],"experiments":[136],"conducted":[138],"different":[140],"settings":[142],"results":[145],"confirm":[146],"effectiveness":[148],"proposed":[151],"methods.":[152],"Based":[153],"on":[154],"numerical":[156],"results,":[157],"provide":[159],"some":[160],"practical":[161],"suggestions":[162],"for":[163],"decision":[164],"makers":[165],"help":[167],"them":[168],"achieving":[170],"good":[172],"balance":[173],"between":[174],"productivity":[176],"objective.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":26},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":22},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
