{"id":"https://openalex.org/W1592067092","doi":"https://doi.org/10.5591/978-1-57735-516-8/ijcai11-122","title":"Heuristic algorithms for balanced multi-way number partitioning","display_name":"Heuristic algorithms for balanced multi-way number partitioning","publication_year":2011,"publication_date":"2011-07-16","ids":{"openalex":"https://openalex.org/W1592067092","doi":"https://doi.org/10.5591/978-1-57735-516-8/ijcai11-122","mag":"1592067092"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.208.1534","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.208.1534","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ink.library.smu.edu.sg/cgi/viewcontent.cgi?article=2358&context=sis_research","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066042962","display_name":"Jilian Zhang","orcid":"https://orcid.org/0000-0001-7117-3951"},"institutions":[{"id":"https://openalex.org/I79891267","display_name":"Singapore Management University","ror":"https://ror.org/050qmg959","country_code":"SG","type":"education","lineage":["https://openalex.org/I79891267"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jilian Zhang","raw_affiliation_strings":["School of Information Systems Singapore Management University"],"raw_orcid":"https://orcid.org/0000-0001-7117-3951","affiliations":[{"raw_affiliation_string":"School of Information Systems Singapore Management University","institution_ids":["https://openalex.org/I79891267"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053720072","display_name":"Kyriakos Mouratidis","orcid":"https://orcid.org/0000-0002-8835-430X"},"institutions":[{"id":"https://openalex.org/I79891267","display_name":"Singapore Management University","ror":"https://ror.org/050qmg959","country_code":"SG","type":"education","lineage":["https://openalex.org/I79891267"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Kyriakos Mouratidis","raw_affiliation_strings":["School of Information Systems Singapore Management University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Systems Singapore Management University","institution_ids":["https://openalex.org/I79891267"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072606049","display_name":"HweeHwa Pang","orcid":"https://orcid.org/0000-0001-7266-5712"},"institutions":[{"id":"https://openalex.org/I79891267","display_name":"Singapore Management University","ror":"https://ror.org/050qmg959","country_code":"SG","type":"education","lineage":["https://openalex.org/I79891267"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"HweeHwa Pang","raw_affiliation_strings":["School of Information Systems Singapore Management University"],"raw_orcid":"https://orcid.org/0000-0001-7266-5712","affiliations":[{"raw_affiliation_string":"School of Information Systems Singapore Management University","institution_ids":["https://openalex.org/I79891267"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I79891267"],"apc_list":null,"apc_paid":null,"fwci":1.2452,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.82973862,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"693","last_page":"698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.998199999332428,"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/T11478","display_name":"Caching and Content Delivery","score":0.9944000244140625,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/cardinality","display_name":"Cardinality (data modeling)","score":0.8142355680465698},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6739702224731445},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6226748824119568},{"id":"https://openalex.org/keywords/subset-sum-problem","display_name":"Subset sum problem","score":0.6094018220901489},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4817069172859192},{"id":"https://openalex.org/keywords/cardinal-number","display_name":"Cardinal number (linguistics)","score":0.44244030117988586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43639451265335083},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34553712606430054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3373602330684662},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32114994525909424},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.16404181718826294}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.8142355680465698},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6739702224731445},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6226748824119568},{"id":"https://openalex.org/C109275537","wikidata":"https://www.wikidata.org/wiki/Q1154420","display_name":"Subset sum problem","level":3,"score":0.6094018220901489},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4817069172859192},{"id":"https://openalex.org/C2778408900","wikidata":"https://www.wikidata.org/wiki/Q1329258","display_name":"Cardinal number (linguistics)","level":2,"score":0.44244030117988586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43639451265335083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34553712606430054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3373602330684662},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32114994525909424},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.16404181718826294},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.208.1534","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.208.1534","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.208.4503","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.208.4503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ijcai.org/papers11/Papers/IJCAI11-122.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.296.3949","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.296.3949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mysmu.edu/faculty/kyriakos/IJCAI11.pdf","raw_type":"text"},{"id":"pmh:oai:ink.library.smu.edu.sg:sis_research-2358","is_oa":true,"landing_page_url":"https://ink.library.smu.edu.sg/cgi/viewcontent.cgi?article=2358&context=sis_research","pdf_url":null,"source":{"id":"https://openalex.org/S4306401925","display_name":"Singapore Management University Institutional Knowledge (InK) (Singapore Management University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79891267","host_organization_name":"Singapore Management University","host_organization_lineage":["https://openalex.org/I79891267"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.5591/978-1-57735-516-8/IJCAI11-122","raw_type":"Conference Proceeding Article"},{"id":"mag:1592067092","is_oa":false,"landing_page_url":"https://ijcai.org/papers11/Papers/IJCAI11-122.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306419999","display_name":"International Joint Conference on Artificial Intelligence","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"International Joint Conference on Artificial Intelligence","raw_type":null}],"best_oa_location":{"id":"pmh:oai:ink.library.smu.edu.sg:sis_research-2358","is_oa":true,"landing_page_url":"https://ink.library.smu.edu.sg/cgi/viewcontent.cgi?article=2358&context=sis_research","pdf_url":null,"source":{"id":"https://openalex.org/S4306401925","display_name":"Singapore Management University Institutional Knowledge (InK) (Singapore Management University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79891267","host_organization_name":"Singapore Management University","host_organization_lineage":["https://openalex.org/I79891267"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.5591/978-1-57735-516-8/IJCAI11-122","raw_type":"Conference Proceeding Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1517687623","https://openalex.org/W1566860901","https://openalex.org/W1909318870","https://openalex.org/W1965586439","https://openalex.org/W2011039300","https://openalex.org/W2040513782","https://openalex.org/W2090865599","https://openalex.org/W2165620838","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1909318870","https://openalex.org/W1517687623","https://openalex.org/W2735816714","https://openalex.org/W2795466116","https://openalex.org/W2461448377","https://openalex.org/W2039672765","https://openalex.org/W2294836371","https://openalex.org/W1936362463","https://openalex.org/W2621978811","https://openalex.org/W2982545082","https://openalex.org/W1506630368","https://openalex.org/W1997630475","https://openalex.org/W3002379878","https://openalex.org/W2962799767","https://openalex.org/W2911494657","https://openalex.org/W2064147138","https://openalex.org/W2162740996","https://openalex.org/W3003823299","https://openalex.org/W2152564789","https://openalex.org/W2950592274"],"abstract_inverted_index":{"Balanced":[0],"multi-way":[1],"number":[2,46,101],"partitioning":[3,47],"(BMNP)":[4],"seeks":[5],"to":[6,78,110],"split":[7],"a":[8,96,111,117],"collection":[9],"of":[10,82,105,120],"numbers":[11,87],"into":[12],"subsets":[13],"with":[14],"(roughly)":[15],"the":[16,42,50,67,72],"same":[17],"cardinality":[18],"and":[19,26,31,88,107],"subset":[20,60,76,90,121],"sum.":[21],"The":[22],"problem":[23],"is":[24],"NP-hard,":[25],"there":[27],"are":[28],"several":[29],"exact":[30,38],"approximate":[32,53],"algorithms":[33,39],"for":[34,84,99],"it.":[35],"However,":[36],"existing":[37],"solve":[40],"only":[41],"simpler,":[43],"balanced":[44],"two-way":[45],"variant,":[48],"whereas":[49],"most":[51],"effective":[52],"algorithm,":[54],"BLDM,":[55],"may":[56],"produce":[57],"widely":[58],"varying":[59],"sums.":[61],"In":[62],"this":[63],"paper,":[64],"we":[65],"introduce":[66],"LRM":[68,106],"algorithm":[69],"that":[70,81,114],"lowers":[71],"expected":[73],"spread":[74,119],"in":[75],"sums":[77,122],"one":[79],"third":[80],"BLDM":[83],"uniformly":[85],"distributed":[86],"odd":[89],"cardinalities.":[91],"We":[92],"also":[93],"propose":[94],"Meld,":[95],"novel":[97],"strategy":[98],"skewed":[100],"distributions.":[102],"A":[103],"combination":[104],"Meld":[108],"leads":[109],"heuristic":[112],"technique":[113],"consistently":[115],"achieves":[116],"narrower":[118],"than":[123],"BLDM.":[124],"1":[125]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}