{"id":"https://openalex.org/W2068265913","doi":"https://doi.org/10.1016/s0377-2217(98)00136-2","title":"A column generation based decomposition algorithm for a parallel machine just-in-time scheduling problem","display_name":"A column generation based decomposition algorithm for a parallel machine just-in-time scheduling problem","publication_year":1999,"publication_date":"1999-07-01","ids":{"openalex":"https://openalex.org/W2068265913","doi":"https://doi.org/10.1016/s0377-2217(98)00136-2","mag":"2068265913"},"language":"en","primary_location":{"id":"doi:10.1016/s0377-2217(98)00136-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0377-2217(98)00136-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0377221798001362/pdf","source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.sciencedirect.com/science/article/pii/S0377221798001362/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110132198","display_name":"Zhilong Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhi-Long Chen","raw_affiliation_strings":["Department of Systems Engineering, University of Pennsylvania, Philadelphia, PA 19104-6315, USA","Department of Systems Engineering, University of Pennsylvania Philadelphia, PA 19104-6315, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering, University of Pennsylvania, Philadelphia, PA 19104-6315, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Systems Engineering, University of Pennsylvania Philadelphia, PA 19104-6315, USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054833334","display_name":"Warren B. Powell","orcid":"https://orcid.org/0000-0002-4364-7555"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Warren B. Powell","raw_affiliation_strings":["Department of Civil Engineering and Operations Research, Princeton University, Princeton, NJ 08544, USA","Department of Civil Engineering and Operations Research,    Princeton University, Princeton, NJ 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering and Operations Research, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Civil Engineering and Operations Research,    Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110132198"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":{"value":3290,"currency":"USD","value_usd":3290},"fwci":4.9406,"has_fulltext":true,"cited_by_count":88,"citation_normalized_percentile":{"value":0.94611749,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"116","issue":"1","first_page":"220","last_page":"232"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9972000122070312,"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":0.9969000220298767,"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/column-generation","display_name":"Column generation","score":0.8664442300796509},{"id":"https://openalex.org/keywords/tardiness","display_name":"Tardiness","score":0.7785478830337524},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6086560487747192},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5843784213066101},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.5650264024734497},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5590744614601135},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5059778094291687},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4974065124988556},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.48198384046554565},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4732269048690796},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.4663735032081604},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4383329451084137},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4341229796409607},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.41580528020858765},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36593252420425415},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.11011254787445068}],"concepts":[{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.8664442300796509},{"id":"https://openalex.org/C2778047078","wikidata":"https://www.wikidata.org/wiki/Q82299449","display_name":"Tardiness","level":4,"score":0.7785478830337524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6086560487747192},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5843784213066101},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.5650264024734497},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5590744614601135},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5059778094291687},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4974065124988556},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.48198384046554565},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4732269048690796},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.4663735032081604},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4383329451084137},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4341229796409607},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.41580528020858765},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36593252420425415},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.11011254787445068},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"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":4,"locations":[{"id":"doi:10.1016/s0377-2217(98)00136-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0377-2217(98)00136-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0377221798001362/pdf","source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.30.6450","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.6450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.seas.upenn.edu:8080/~zlchen/papers/pjit.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.46.8223","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.8223","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.castlelab.princeton.edu/Resources/pjit.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:eee:ejores:v:116:y:1999:i:1:p:220-232","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0377-2217(98)00136-2","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":{"id":"doi:10.1016/s0377-2217(98)00136-2","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0377-2217(98)00136-2","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0377221798001362/pdf","source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G177218894","display_name":null,"funder_award_id":"F49620","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320309370","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2068265913.pdf","grobid_xml":"https://content.openalex.org/works/W2068265913.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1481747975","https://openalex.org/W1968143987","https://openalex.org/W2001386238","https://openalex.org/W2004096713","https://openalex.org/W2005694644","https://openalex.org/W2005926129","https://openalex.org/W2006188511","https://openalex.org/W2035086169","https://openalex.org/W2040678783","https://openalex.org/W2045527118","https://openalex.org/W2054065841","https://openalex.org/W2059381031","https://openalex.org/W2067436380","https://openalex.org/W2067480095","https://openalex.org/W2077724649","https://openalex.org/W2087117752","https://openalex.org/W2093563804","https://openalex.org/W2105560970","https://openalex.org/W2107205433","https://openalex.org/W2120350145","https://openalex.org/W2163712127","https://openalex.org/W2167580124","https://openalex.org/W2503156051","https://openalex.org/W2505968561"],"related_works":["https://openalex.org/W3097192092","https://openalex.org/W3029619930","https://openalex.org/W2061005265","https://openalex.org/W2171830873","https://openalex.org/W4230716854","https://openalex.org/W2167580124","https://openalex.org/W2024604250","https://openalex.org/W2002220688","https://openalex.org/W2243328125","https://openalex.org/W2051889693"],"abstract_inverted_index":{"We":[0,35],"propose":[1],"a":[2,51,64,90],"column":[3,104],"generation":[4,105],"based":[5],"exact":[6,68],"decomposition":[7,130],"algorithm":[8,70,131],"for":[9,73],"the":[10,38,74,77,85],"problem":[11,39,54,88,93,100],"of":[12,89,134],"scheduling":[13],"n":[14],"jobs":[15,141],"with":[16,55,94,137],"an":[17,41],"unrestrictively":[18],"large":[19],"common":[20],"due":[21],"date":[22],"on":[23,59,112],"m":[24],"identical":[25],"parallel":[26],"machines":[27,114],"to":[28,139],"minimize":[29],"total":[30],"weighted":[31],"earliness":[32],"and":[33,66,79,115],"tardiness.":[34],"first":[36],"formulate":[37],"as":[40,50],"integer":[42],"program,":[43],"then":[44],"reformulate":[45],"it,":[46],"using":[47],"Dantzig\u2013Wolfe":[48],"decomposition,":[49],"set":[52,61,91],"partitioning":[53,62,92],"side":[56,95],"constraints.":[57,96],"Based":[58],"this":[60,129],"formulation,":[63],"branch":[65,78],"bound":[67,80],"solution":[69],"is":[71,84,101,132],"developed":[72],"problem.":[75],"In":[76],"tree,":[81],"each":[82],"node":[83],"linear":[86,98],"relaxation":[87,99],"This":[97],"solved":[102],"by":[103,118],"approach":[106],"where":[107],"columns":[108],"represent":[109],"partial":[110],"schedules":[111],"single":[113,121],"are":[116],"generated":[117],"solving":[119,135],"two":[120],"machine":[122],"subproblems.":[123],"Our":[124],"computational":[125],"results":[126],"show":[127],"that":[128],"capable":[133],"problems":[136],"up":[138],"60":[140],"in":[142],"reasonable":[143],"cpu":[144],"time.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-10T00:00:00"}
