{"id":"https://openalex.org/W2963961556","doi":"https://doi.org/10.1007/s12532-018-0148-3","title":"ADMM for the SDP relaxation of the QAP","display_name":"ADMM for the SDP relaxation of the QAP","publication_year":2018,"publication_date":"2018-09-20","ids":{"openalex":"https://openalex.org/W2963961556","doi":"https://doi.org/10.1007/s12532-018-0148-3","mag":"2963961556"},"language":"en","primary_location":{"id":"doi:10.1007/s12532-018-0148-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-018-0148-3","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2949","issn":["1867-2949","1867-2957"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming Computation","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/A5011520659","display_name":"Danilo Elias Oliveira","orcid":"https://orcid.org/0000-0002-2062-369X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Danilo Elias Oliveira","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061777786","display_name":"Henry Wolkowicz","orcid":"https://orcid.org/0000-0003-1572-3060"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Henry Wolkowicz","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055895298","display_name":"Yangyang Xu","orcid":"https://orcid.org/0000-0002-4163-3723"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yangyang Xu","raw_affiliation_strings":["Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055895298"],"corresponding_institution_ids":["https://openalex.org/I165799507"],"apc_list":{"value":2390,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":4.7824,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.95858539,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"4","first_page":"631","last_page":"658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9912999868392944,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9829999804496765,"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/cutting-plane-method","display_name":"Cutting-plane method","score":0.8729296922683716},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7693345546722412},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6672042012214661},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6574617624282837},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6241557002067566},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6199066042900085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5887434482574463},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5579798221588135},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.48505038022994995},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.47878989577293396},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.46366456151008606},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42594775557518005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41914451122283936},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3214903771877289},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.3048690855503082},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13209915161132812}],"concepts":[{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.8729296922683716},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7693345546722412},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6672042012214661},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6574617624282837},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6241557002067566},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6199066042900085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5887434482574463},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5579798221588135},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.48505038022994995},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.47878989577293396},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.46366456151008606},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42594775557518005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41914451122283936},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3214903771877289},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.3048690855503082},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13209915161132812},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12532-018-0148-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-018-0148-3","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2949","issn":["1867-2949","1867-2957"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W34399546","https://openalex.org/W60343698","https://openalex.org/W1503085769","https://openalex.org/W1595903022","https://openalex.org/W1648726702","https://openalex.org/W1861508522","https://openalex.org/W1977397354","https://openalex.org/W1986591158","https://openalex.org/W1987255230","https://openalex.org/W1999913571","https://openalex.org/W2004026774","https://openalex.org/W2009832821","https://openalex.org/W2060488365","https://openalex.org/W2073637342","https://openalex.org/W2083411653","https://openalex.org/W2084512390","https://openalex.org/W2099799470","https://openalex.org/W2108593798","https://openalex.org/W2120091187","https://openalex.org/W2138505091","https://openalex.org/W2142333440","https://openalex.org/W2164278908","https://openalex.org/W2188609405","https://openalex.org/W2401300680","https://openalex.org/W2963742264","https://openalex.org/W2964648808","https://openalex.org/W3121235808","https://openalex.org/W4292363360","https://openalex.org/W6725295990"],"related_works":["https://openalex.org/W2036562274","https://openalex.org/W2048233275","https://openalex.org/W2269291726","https://openalex.org/W2110818895","https://openalex.org/W2362705850","https://openalex.org/W2121045497","https://openalex.org/W2045076853","https://openalex.org/W2128202699","https://openalex.org/W1973064890","https://openalex.org/W2239063252"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}