{"id":"https://openalex.org/W3187441634","doi":"https://doi.org/10.1142/s0219622021500504","title":"Solving Clique Partitioning Problems: A Comparison of Models and Commercial Solvers","display_name":"Solving Clique Partitioning Problems: A Comparison of Models and Commercial Solvers","publication_year":2021,"publication_date":"2021-08-11","ids":{"openalex":"https://openalex.org/W3187441634","doi":"https://doi.org/10.1142/s0219622021500504","mag":"3187441634"},"language":"en","primary_location":{"id":"doi:10.1142/s0219622021500504","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622021500504","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Technology & Decision Making","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/A5032577340","display_name":"Yu Du","orcid":"https://orcid.org/0000-0001-6286-4814"},"institutions":[{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Du","raw_affiliation_strings":["University of Colorado at Denver, USA"],"raw_orcid":"https://orcid.org/0000-0001-6286-4814","affiliations":[{"raw_affiliation_string":"University of Colorado at Denver, USA","institution_ids":["https://openalex.org/I921990950"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059123284","display_name":"Gary Kochenberger","orcid":null},"institutions":[{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary Kochenberger","raw_affiliation_strings":["University of Colorado at Denver, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Colorado at Denver, USA","institution_ids":["https://openalex.org/I921990950"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068174754","display_name":"Fred Glover","orcid":"https://orcid.org/0000-0001-6945-0438"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fred Glover","raw_affiliation_strings":["University of Colorado at Boulder, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Colorado at Boulder, USA","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100328796","display_name":"Haibo Wang","orcid":"https://orcid.org/0000-0002-8580-829X"},"institutions":[{"id":"https://openalex.org/I131740757","display_name":"Texas A&M International University","ror":"https://ror.org/028861t28","country_code":"US","type":"education","lineage":["https://openalex.org/I131740757"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haibo Wang","raw_affiliation_strings":["Texas A&M International University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&M International University, USA","institution_ids":["https://openalex.org/I131740757"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071012704","display_name":"Mark Lewis","orcid":"https://orcid.org/0000-0002-8506-7380"},"institutions":[{"id":"https://openalex.org/I119942284","display_name":"Missouri State University","ror":"https://ror.org/01d2sez20","country_code":"US","type":"education","lineage":["https://openalex.org/I119942284"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark Lewis","raw_affiliation_strings":["Missouri State University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Missouri State University, USA","institution_ids":["https://openalex.org/I119942284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101320282","display_name":"Weihong Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihong Xie","raw_affiliation_strings":["Guangdong University of Technology, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangdong University of Technology, P. R. China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051064006","display_name":"Takeshi Tsuyuguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I131740757","display_name":"Texas A&M International University","ror":"https://ror.org/028861t28","country_code":"US","type":"education","lineage":["https://openalex.org/I131740757"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Takeshi Tsuyuguchi","raw_affiliation_strings":["Texas A&M International University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&M International University, USA","institution_ids":["https://openalex.org/I131740757"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3221,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.80176505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"01","first_page":"59","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9927999973297119,"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"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.8273149728775024},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.8207201957702637},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7054623365402222},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6178522706031799},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.612769603729248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2624911069869995},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06700378656387329}],"concepts":[{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.8273149728775024},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.8207201957702637},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7054623365402222},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6178522706031799},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.612769603729248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2624911069869995},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06700378656387329},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219622021500504","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622021500504","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Technology & Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:21:y:2022:i:01:n:s0219622021500504","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219622021500504","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":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W57095562","https://openalex.org/W1440788545","https://openalex.org/W1974418688","https://openalex.org/W1986827871","https://openalex.org/W1993052292","https://openalex.org/W1999729220","https://openalex.org/W2006239936","https://openalex.org/W2007033386","https://openalex.org/W2018490604","https://openalex.org/W2033863375","https://openalex.org/W2033954061","https://openalex.org/W2045387243","https://openalex.org/W2047766788","https://openalex.org/W2051440091","https://openalex.org/W2055747219","https://openalex.org/W2057504236","https://openalex.org/W2063326106","https://openalex.org/W2070630478","https://openalex.org/W2079941265","https://openalex.org/W2091858563","https://openalex.org/W2095293504","https://openalex.org/W2129013148","https://openalex.org/W2137457258","https://openalex.org/W2161455936","https://openalex.org/W2165813135","https://openalex.org/W2340280848","https://openalex.org/W2430322353","https://openalex.org/W2725030995","https://openalex.org/W2735109702","https://openalex.org/W2770673730","https://openalex.org/W2801463174","https://openalex.org/W2803950999","https://openalex.org/W2984768329","https://openalex.org/W3111337479","https://openalex.org/W3139896449","https://openalex.org/W4246113444"],"related_works":["https://openalex.org/W2080076943","https://openalex.org/W4285891591","https://openalex.org/W2407573993","https://openalex.org/W2491820882","https://openalex.org/W1545049768","https://openalex.org/W3045011555","https://openalex.org/W4220670643","https://openalex.org/W1985028263","https://openalex.org/W3187441634","https://openalex.org/W4286209950"],"abstract_inverted_index":{"Finding":[0],"good":[1],"solutions":[2,16,81],"to":[3,42,78,82],"clique":[4,111],"partitioning":[5],"problems":[6,84,109],"remains":[7],"a":[8,35,48,117,125],"computational":[9,133],"challenge.":[10],"With":[11],"rare":[12],"exceptions,":[13],"finding":[14],"optimal":[15],"for":[17,110],"all":[18],"but":[19],"small":[20],"instances":[21],"is":[22,40],"not":[23],"practically":[24],"possible.":[25],"However,":[26],"choosing":[27],"the":[28,63,66,70,99,122,137,141],"most":[29],"appropriate":[30],"modeling":[31],"structure":[32],"can":[33,73],"have":[34,56],"huge":[36],"impact":[37],"on":[38,105],"what":[39],"practical":[41],"obtain":[43],"from":[44,121],"exact":[45],"solvers":[46,55,86,104],"within":[47],"reasonable":[49],"amount":[50],"of":[51,65,101],"run":[52],"time.":[53],"Commercial":[54],"improved":[57],"tremendously":[58],"in":[59],"recent":[60],"years":[61],"and":[62,69,90,97,124],"combination":[64],"right":[67,71],"solver":[68],"model":[72,120,129,139,144],"significantly":[74],"increase":[75],"our":[76],"ability":[77],"compute":[79],"acceptable":[80],"modest-sized":[83],"with":[85],"like":[87],"CPLEX,":[88],"GUROBI":[89],"XPRESS.":[91],"In":[92],"this":[93],"paper,":[94],"we":[95],"explore":[96],"compare":[98],"use":[100],"three":[102],"commercial":[103],"modest":[106],"sized":[107],"test":[108],"partitioning.":[112],"For":[113],"each":[114],"problem":[115,146],"instance,":[116],"conventional":[118],"linear":[119,143],"literature":[123],"relatively":[126],"new":[127],"quadratic":[128,138],"are":[130],"compared.":[131],"Extensive":[132],"experience":[134],"indicates":[135],"that":[136],"outperforms":[140],"classic":[142],"as":[145],"size":[147],"grows.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}