{"id":"https://openalex.org/W3200189330","doi":"https://doi.org/10.1007/s10479-021-04310-x","title":"The linearization problem of a binary quadratic problem and its applications","display_name":"The linearization problem of a binary quadratic problem and its applications","publication_year":2021,"publication_date":"2021-10-09","ids":{"openalex":"https://openalex.org/W3200189330","doi":"https://doi.org/10.1007/s10479-021-04310-x","mag":"3200189330"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-021-04310-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-021-04310-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-021-04310-x.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10479-021-04310-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100652565","display_name":"Hao Hu","orcid":"https://orcid.org/0000-0003-1738-6977"},"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":"Hao Hu","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"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/A5082314475","display_name":"Renata Sotirov","orcid":"https://orcid.org/0000-0002-3298-7255"},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Renata Sotirov","raw_affiliation_strings":["Department of Econometrics and OR, Tilburg University, Tilburg, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-3298-7255","affiliations":[{"raw_affiliation_string":"Department of Econometrics and OR, Tilburg University, Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082314475"],"corresponding_institution_ids":["https://openalex.org/I193700539"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.3588,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84087008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"307","issue":"1-2","first_page":"229","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9962000250816345,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9962000250816345,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958000183105469,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9853000044822693,"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/linearization","display_name":"Linearization","score":0.8123124837875366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6916506886482239},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.5662621259689331},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5326730012893677},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49171191453933716},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.45609864592552185},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.452923446893692},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3547242283821106},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18242383003234863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1748456060886383},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06195959448814392}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.8123124837875366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6916506886482239},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.5662621259689331},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5326730012893677},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49171191453933716},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.45609864592552185},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.452923446893692},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3547242283821106},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18242383003234863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1748456060886383},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06195959448814392},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10479-021-04310-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-021-04310-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-021-04310-x.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:307:y:2021:i:1:d:10.1007_s10479-021-04310-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-021-04310-x","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"},{"id":"pmh:uvt:oai:tilburguniversity.edu:publications/b4736bd0-6b1b-4426-9787-1d2ec0c192e9","is_oa":true,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/b4736bd0-6b1b-4426-9787-1d2ec0c192e9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"Annals of Operations Research, 307(1-2), 229 - 249. Springer","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10479-021-04310-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-021-04310-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-021-04310-x.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3200189330.pdf","grobid_xml":"https://content.openalex.org/works/W3200189330.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W569517619","https://openalex.org/W1964265873","https://openalex.org/W1964357023","https://openalex.org/W1967344706","https://openalex.org/W1972445234","https://openalex.org/W1980190773","https://openalex.org/W1985792422","https://openalex.org/W2033564834","https://openalex.org/W2034432217","https://openalex.org/W2038681403","https://openalex.org/W2049299385","https://openalex.org/W2049345634","https://openalex.org/W2061796216","https://openalex.org/W2067417069","https://openalex.org/W2083449425","https://openalex.org/W2084512390","https://openalex.org/W2086953038","https://openalex.org/W2128971018","https://openalex.org/W2138244558","https://openalex.org/W2146361854","https://openalex.org/W2150239570","https://openalex.org/W2165281529","https://openalex.org/W2403054319","https://openalex.org/W2476974423","https://openalex.org/W2523565621","https://openalex.org/W2554728250","https://openalex.org/W2602684069","https://openalex.org/W2735780559","https://openalex.org/W2747878638","https://openalex.org/W2786497549","https://openalex.org/W2887569018","https://openalex.org/W2889336547","https://openalex.org/W2923556723","https://openalex.org/W2962852463","https://openalex.org/W2964025765","https://openalex.org/W2964131403","https://openalex.org/W2968238625","https://openalex.org/W3007817717","https://openalex.org/W3121235808","https://openalex.org/W4253864964","https://openalex.org/W4401338609","https://openalex.org/W6743031451"],"related_works":["https://openalex.org/W2146351753","https://openalex.org/W269925151","https://openalex.org/W3036464408","https://openalex.org/W2020990755","https://openalex.org/W3096788047","https://openalex.org/W2377851227","https://openalex.org/W4293088966","https://openalex.org/W4386731488","https://openalex.org/W2366868484","https://openalex.org/W2101513891"],"abstract_inverted_index":{"Abstract":[0],"We":[1,14,55,120],"provide":[2,95],"several":[3],"applications":[4],"of":[5,9,49,88,114,117,130,146,149],"the":[6,22,40,58,74,78,102,107,111,115,127,131,147,153],"linearization":[7,82,128],"problem":[8,129,135],"a":[10,16,29,33,47,86,96,123,143],"binary":[11,64],"quadratic":[12,34,65,132,154],"problem.":[13,157],"propose":[15],"new":[17],"lower":[18],"bounding":[19,61],"strategy,":[20],"called":[21],"linearization-based":[23,44,68,89,104],"scheme,":[24],"that":[25,57,73,109],"is":[26,84,106],"based":[27],"on":[28,39,136],"simple":[30],"certificate":[31],"for":[32,63,126,152],"function":[35],"to":[36,94],"be":[37],"non-negative":[38],"feasible":[41],"set.":[42],"Each":[43],"bound":[45,75,105],"requires":[46],"set":[48,116,148],"linearizable":[50,118,150],"matrices":[51,151],"as":[52],"an":[53],"input.":[54],"prove":[56],"Generalized":[59],"Gilmore\u2013Lawler":[60],"scheme":[62],"problems":[66],"provides":[67],"bounds.":[69,100],"Moreover,":[70],"we":[71],"show":[72],"obtained":[76],"from":[77],"first":[79],"level":[80],"reformulation":[81],"technique":[83],"also":[85,121],"type":[87],"bound,":[90],"which":[91],"enables":[92],"us":[93],"comparison":[97],"among":[98],"mentioned":[99],"However,":[101],"strongest":[103],"one":[108],"uses":[110],"full":[112],"characterization":[113,145],"matrices.":[119],"present":[122],"polynomial-time":[124],"algorithm":[125,141],"shortest":[133,155],"path":[134,156],"directed":[137],"acyclic":[138],"graphs.":[139],"Our":[140],"gives":[142],"complete":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}