{"id":"https://openalex.org/W2015231501","doi":"https://doi.org/10.1145/1552285.1552289","title":"A unified approach to scheduling on unrelated parallel machines","display_name":"A unified approach to scheduling on unrelated parallel machines","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2015231501","doi":"https://doi.org/10.1145/1552285.1552289","mag":"2015231501"},"language":"en","primary_location":{"id":"doi:10.1145/1552285.1552289","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1552285.1552289","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","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/A5107858741","display_name":"V. S. Anil Kumar","orcid":"https://orcid.org/0000-0002-4406-8483"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. S. Anil Kumar","raw_affiliation_strings":["Virginia Tech., Blacksburg, Virginia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia Tech., Blacksburg, Virginia","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020293284","display_name":"Madhav Marathe","orcid":"https://orcid.org/0000-0003-1653-0658"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Madhav V. Marathe","raw_affiliation_strings":["Virginia Tech., Blacksburg, Virginia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia Tech., Blacksburg, Virginia","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070578934","display_name":"S Parthasarathy","orcid":"https://orcid.org/0000-0002-3808-6722"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Srinivasan Parthasarathy","raw_affiliation_strings":["IBM T. J. Watson Research Center, Hawthorne, New York","IBM T.J. Watson Research Center. Hawthorne, New York#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM T. J. Watson Research Center, Hawthorne, New York","institution_ids":["https://openalex.org/I4210114115"]},{"raw_affiliation_string":"IBM T.J. Watson Research Center. Hawthorne, New York#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005118312","display_name":"Aravind Srinivasan","orcid":"https://orcid.org/0000-0002-0062-3684"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aravind Srinivasan","raw_affiliation_strings":["University of Maryland, College Park, Maryland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park, Maryland","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.0565,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.95747077,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"56","issue":"5","first_page":"1","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9987000226974487,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/rounding","display_name":"Rounding","score":0.8276937007904053},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.592528223991394},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.5862531661987305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5807507634162903},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5777918100357056},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5580612421035767},{"id":"https://openalex.org/keywords/randomized-rounding","display_name":"Randomized rounding","score":0.5034906268119812},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47852906584739685},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4650358557701111},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.43980279564857483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3181331753730774},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.3051559329032898},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09763407707214355}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.8276937007904053},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.592528223991394},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.5862531661987305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5807507634162903},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5777918100357056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5580612421035767},{"id":"https://openalex.org/C32029473","wikidata":"https://www.wikidata.org/wiki/Q7292010","display_name":"Randomized rounding","level":3,"score":0.5034906268119812},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47852906584739685},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4650358557701111},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.43980279564857483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3181331753730774},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.3051559329032898},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09763407707214355},{"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:10.1145/1552285.1552289","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1552285.1552289","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.152.71","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.152.71","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.umd.edu/~srin/PDF/2009/upm-jou.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1183819926","display_name":null,"funder_award_id":"U01 GM070694-05","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G1594896353","display_name":null,"funder_award_id":"HDTRA1-07-C-0113","funder_id":"https://openalex.org/F4320332186","funder_display_name":"Defense Threat Reduction Agency"},{"id":"https://openalex.org/G1968433000","display_name":null,"funder_award_id":"CNS-0626864CNS-0831633","funder_id":"https://openalex.org/F4320337388","funder_display_name":"Division of Computer and Network Systems"},{"id":"https://openalex.org/G3927160917","display_name":null,"funder_award_id":"2506055-01","funder_id":"https://openalex.org/F4320332162","funder_display_name":"Centers for Disease Control and Prevention"},{"id":"https://openalex.org/G4260180623","display_name":null,"funder_award_id":"SES-0729441","funder_id":"https://openalex.org/F4320337366","funder_display_name":"Division of Social and Economic Sciences"},{"id":"https://openalex.org/G5865140263","display_name":null,"funder_award_id":"CNS-0426683","funder_id":"https://openalex.org/F4320337388","funder_display_name":"Division of Computer and Network Systems"},{"id":"https://openalex.org/G6589402161","display_name":null,"funder_award_id":"CNS-0845700CCR-0208005CNS-0626636","funder_id":"https://openalex.org/F4320337388","funder_display_name":"Division of Computer and Network Systems"},{"id":"https://openalex.org/G7282866800","display_name":null,"funder_award_id":"CNS-0845700CCR-0208005CNS-0626636","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332162","display_name":"Centers for Disease Control and Prevention","ror":"https://ror.org/042twtr12"},{"id":"https://openalex.org/F4320332186","display_name":"Defense Threat Reduction Agency","ror":"https://ror.org/04tz64554"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"},{"id":"https://openalex.org/F4320337366","display_name":"Division of Social and Economic Sciences","ror":"https://ror.org/02dz2hb46"},{"id":"https://openalex.org/F4320337388","display_name":"Division of Computer and Network Systems","ror":"https://ror.org/02rdzmk74"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W964861289","https://openalex.org/W1495834223","https://openalex.org/W1563703481","https://openalex.org/W1886525356","https://openalex.org/W1980375431","https://openalex.org/W1985123706","https://openalex.org/W1988328380","https://openalex.org/W1999370138","https://openalex.org/W2001016215","https://openalex.org/W2006905044","https://openalex.org/W2007604989","https://openalex.org/W2014369282","https://openalex.org/W2022191808","https://openalex.org/W2024806294","https://openalex.org/W2064779029","https://openalex.org/W2070226247","https://openalex.org/W2081269878","https://openalex.org/W2087746279","https://openalex.org/W2101937070","https://openalex.org/W2102201348","https://openalex.org/W2102588682","https://openalex.org/W2104144451","https://openalex.org/W2141663593","https://openalex.org/W2144110390","https://openalex.org/W2574678133","https://openalex.org/W2576116471","https://openalex.org/W2808376720"],"related_works":["https://openalex.org/W1581948717","https://openalex.org/W1941111399","https://openalex.org/W2268207117","https://openalex.org/W4300488607","https://openalex.org/W2951095575","https://openalex.org/W2105543801","https://openalex.org/W1916943706","https://openalex.org/W2002272911","https://openalex.org/W2561769964","https://openalex.org/W2543175834"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,54,58,124,128,140],"single":[3],"rounding":[4,144],"algorithm":[5,13,39,56,122],"for":[6,26,45,57,71,78,91,163],"scheduling":[7,27,79,167],"on":[8],"unrelated":[9,50],"parallel":[10,51],"machines;":[11],"this":[12,136],"works":[14],"well":[15],"with":[16,168],"the":[17,42,46,67,82,87,100,109,164],"known":[18],"linear":[19],"programming-,":[20,22],"quadratic":[21],"and":[23,33,63,98,112,132,152,157],"convex":[24],"programming-relaxations":[25],"to":[28,41,80,147,159],"minimize":[29,81],"completion":[30],"time,":[31],"makespan,":[32],"other":[34],"well-studied":[35],"objective":[36],"functions.":[37],"This":[38],"leads":[40,158],"following":[43],"applications":[44],"general":[47],"setting":[48],"of":[49,86,89,116,130,143,166],"machines:":[52],"(i)":[53],"bicriteria":[55],"schedule":[59],"whose":[60],"weighted":[61,110],"completion-time":[62,111],"makespan":[64],"simultaneously":[65],"exhibit":[66],"current-best":[68],"individual":[69],"approximations":[70],"these":[72],"criteria;":[73],"(ii)":[74],"better-than-two":[75],"approximation":[76,104,161],"guarantees":[77],"L":[83,118],"p":[84,95,119],"norm":[85],"vector":[88],"machine-loads,":[90],"all":[92],"1":[93],"&lt;":[94,96],"\u221e;":[97],"(iii)":[99],"first":[101],"constant-factor":[102],"multicriteria":[103],"algorithms":[105,162],"that":[106],"can":[107],"handle":[108],"any":[113],"given":[114],"collection":[115],"integer":[117],"norms.":[120],"Our":[121],"has":[123],"natural":[125],"interpretation":[126],"as":[127],"melding":[129],"linear-algebraic":[131],"probabilistic":[133],"approaches.":[134],"Via":[135],"view,":[137],"it":[138],"yields":[139],"common":[141],"generalization":[142],"theorems":[145],"due":[146],"Karp":[148],"et":[149,175],"al.":[150,176],"[1987]":[151],"Shmoys":[153],"&amp;":[154],"Tardos":[155],"[1993],":[156],"improved":[160],"problem":[165],"resource-dependent":[169],"processing":[170],"times":[171],"introduced":[172],"by":[173],"Grigoriev":[174],"[2007].":[177]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
