{"id":"https://openalex.org/W2804781695","doi":"https://doi.org/10.1080/00207543.2018.1470341","title":"Minimising total weighted completion time on batch and unary machines with incompatible job families","display_name":"Minimising total weighted completion time on batch and unary machines with incompatible job families","publication_year":2018,"publication_date":"2018-05-23","ids":{"openalex":"https://openalex.org/W2804781695","doi":"https://doi.org/10.1080/00207543.2018.1470341","mag":"2804781695"},"language":"en","primary_location":{"id":"doi:10.1080/00207543.2018.1470341","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2018.1470341","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","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/A5008575214","display_name":"Zewen Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zewen Huang","raw_affiliation_strings":["Department of Industrial Engineering & Management, Peking University , Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering & Management, Peking University , Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070777072","display_name":"Zhongshun Shi","orcid":"https://orcid.org/0000-0003-3719-7321"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhongshun Shi","raw_affiliation_strings":["Department of Industrial & Systems Engineering, University of Wisconsin-Madison , Madison, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial & Systems Engineering, University of Wisconsin-Madison , Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101529205","display_name":"Leyuan Shi","orcid":"https://orcid.org/0000-0002-1397-2891"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Leyuan Shi","raw_affiliation_strings":["Department of Industrial & Systems Engineering, University of Wisconsin-Madison , Madison, WI, USA","Department of Industrial Engineering & Management, Peking University , Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial & Systems Engineering, University of Wisconsin-Madison , Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Department of Industrial Engineering & Management, Peking University , Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070777072"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":0.7299,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76719025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"57","issue":"2","first_page":"567","last_page":"581"},"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/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9887999892234802,"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":0.9876999855041504,"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/unary-operation","display_name":"Unary operation","score":0.9024986028671265},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.692973792552948},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.562584638595581},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.5619971752166748},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5031856894493103},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.4720110595226288},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45128753781318665},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.43701547384262085},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.43554627895355225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43542414903640747},{"id":"https://openalex.org/keywords/constraint-programming","display_name":"Constraint programming","score":0.43093040585517883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37001776695251465},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11958733201026917},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.09566497802734375},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07370570302009583}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.9024986028671265},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.692973792552948},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.562584638595581},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.5619971752166748},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5031856894493103},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.4720110595226288},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45128753781318665},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.43701547384262085},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.43554627895355225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43542414903640747},{"id":"https://openalex.org/C173404611","wikidata":"https://www.wikidata.org/wiki/Q528588","display_name":"Constraint programming","level":3,"score":0.43093040585517883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37001776695251465},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11958733201026917},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.09566497802734375},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07370570302009583},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207543.2018.1470341","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2018.1470341","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tprsxx:v:57:y:2019:i:2:p:567-581","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207543.2018.1470341","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.7099999785423279,"id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G3927471138","display_name":null,"funder_award_id":"CMMI-1536978","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5643598659","display_name":null,"funder_award_id":"71690232","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W966697043","https://openalex.org/W1965643790","https://openalex.org/W1966303191","https://openalex.org/W1966523365","https://openalex.org/W1984396063","https://openalex.org/W1988328380","https://openalex.org/W1995270512","https://openalex.org/W1996628037","https://openalex.org/W2014723306","https://openalex.org/W2015329117","https://openalex.org/W2056273707","https://openalex.org/W2059198064","https://openalex.org/W2074055219","https://openalex.org/W2074693286","https://openalex.org/W2092068825","https://openalex.org/W2092438148","https://openalex.org/W2126707169","https://openalex.org/W2133826558","https://openalex.org/W2548055351","https://openalex.org/W2554758994","https://openalex.org/W2557368223","https://openalex.org/W2567428193","https://openalex.org/W2609642187","https://openalex.org/W2913661964"],"related_works":["https://openalex.org/W2951976120","https://openalex.org/W2983685817","https://openalex.org/W4285278887","https://openalex.org/W2995925505","https://openalex.org/W134783735","https://openalex.org/W2365237642","https://openalex.org/W2147600044","https://openalex.org/W3116484972","https://openalex.org/W2014328192","https://openalex.org/W4232431455"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,18,34,61,78,81],"problem":[4,35,89],"of":[5,80],"scheduling":[6],"on":[7,87],"batch":[8],"and":[9,44,69],"unary":[10],"machines":[11],"with":[12],"incompatible":[13],"job":[14],"families":[15],"such":[16],"that":[17,60,77],"total":[19],"weighted":[20],"completion":[21],"time":[22],"is":[23,30,54,84],"minimised.":[24],"A":[25,50],"mixed-integer":[26],"linear":[27],"programming":[28],"model":[29],"proposed":[31,62,82],"to":[32,36],"solve":[33],"optimality":[37],"for":[38],"small":[39],"instances.":[40],"Tight":[41],"lower":[42],"bounds":[43],"a":[45,71],"4-approximation":[46],"algorithm":[47],"are":[48],"developed.":[49],"constraint":[51],"programming-based":[52],"method":[53],"also":[55,85],"proposed.":[56],"Numerical":[57],"results":[58],"demonstrate":[59],"algorithms":[63,83],"can":[64],"obtain":[65],"high":[66],"quality":[67],"solutions":[68],"have":[70],"competitive":[72],"performance.":[73],"Sensitivity":[74],"analysis":[75],"indicates":[76],"performance":[79],"robust":[86],"different":[88],"structures.":[90]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}