{"id":"https://openalex.org/W4394908707","doi":"https://doi.org/10.1051/ro/2024087","title":"New approach to solve unconstrained binary quadratic problem","display_name":"New approach to solve unconstrained binary quadratic problem","publication_year":2024,"publication_date":"2024-04-18","ids":{"openalex":"https://openalex.org/W4394908707","doi":"https://doi.org/10.1051/ro/2024087"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2024087","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ro/2024087","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/04/ro230357.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/04/ro230357.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5095767930","display_name":"Battikh Rabih","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Battikh Rabih","raw_affiliation_strings":["Normandie Univ., Univ.Le Havre, LMAH, FR CNRS 3335, 76600 Le Havre, France"],"affiliations":[{"raw_affiliation_string":"Normandie Univ., Univ.Le Havre, LMAH, FR CNRS 3335, 76600 Le Havre, France","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I1294671590","https://openalex.org/I4210105918"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113181076","display_name":"Alabboud Hassan","orcid":null},"institutions":[{"id":"https://openalex.org/I160368002","display_name":"Lebanese University","ror":"https://ror.org/05x6qnc69","country_code":"LB","type":"education","lineage":["https://openalex.org/I160368002"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Alabboud Hassan","raw_affiliation_strings":["Lebanese University, Laboratory of Informatics and Applications LIA, Doctoral School in Science and Technology DSST, Mitein street Tripoli, Lebanon"],"affiliations":[{"raw_affiliation_string":"Lebanese University, Laboratory of Informatics and Applications LIA, Doctoral School in Science and Technology DSST, Mitein street Tripoli, Lebanon","institution_ids":["https://openalex.org/I160368002"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106572308","display_name":"Jida Bassem","orcid":null},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jida Bassem","raw_affiliation_strings":["Universit\u00e9 Toulouse II, 5 All\u00e9e Antonio Machado, 31058 Toulouse, CEDEX 9, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Toulouse II, 5 All\u00e9e Antonio Machado, 31058 Toulouse, CEDEX 9, France","institution_ids":["https://openalex.org/I17866349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104956185","display_name":"Yassine Adnan","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yassine Adnan","raw_affiliation_strings":["Normandie Univ., Univ.Le Havre, ISEL, 76600 Le Havre, France","Normandie Univ., Univ.Le Havre, LMAH, FR CNRS 3335, 76600 Le Havre, France"],"affiliations":[{"raw_affiliation_string":"Normandie Univ., Univ.Le Havre, ISEL, 76600 Le Havre, France","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"raw_affiliation_string":"Normandie Univ., Univ.Le Havre, LMAH, FR CNRS 3335, 76600 Le Havre, France","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I1294671590","https://openalex.org/I4210105918"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5095767930"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I141576021","https://openalex.org/I4210105918"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08885606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"4","first_page":"3241","last_page":"3262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9937999844551086,"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":0.9937999844551086,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9937999844551086,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/binary-number","display_name":"Binary number","score":0.6593652963638306},{"id":"https://openalex.org/keywords/quadratic-unconstrained-binary-optimization","display_name":"Quadratic unconstrained binary optimization","score":0.6190728545188904},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5120134949684143},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4904346168041229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46167469024658203},{"id":"https://openalex.org/keywords/binary-quadratic-form","display_name":"Binary quadratic form","score":0.4259370267391205},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4160650074481964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4031562805175781},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3574233949184418},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.1809999644756317},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1098146140575409},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0684916079044342}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6593652963638306},{"id":"https://openalex.org/C177179195","wikidata":"https://www.wikidata.org/wiki/Q7268372","display_name":"Quadratic unconstrained binary optimization","level":4,"score":0.6190728545188904},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5120134949684143},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4904346168041229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46167469024658203},{"id":"https://openalex.org/C80695182","wikidata":"https://www.wikidata.org/wiki/Q864134","display_name":"Binary quadratic form","level":4,"score":0.4259370267391205},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4160650074481964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4031562805175781},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3574233949184418},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.1809999644756317},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1098146140575409},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0684916079044342},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"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},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2024087","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ro/2024087","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/04/ro230357.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04670418v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04670418","pdf_url":"https://hal.science/hal-04670418/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"RAIRO - Operations Research, 2024, 58 (4), pp.3241-3262. ⟨10.1051/ro/2024087⟩","raw_type":"Journal articles"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2024087","is_oa":true,"landing_page_url":"https://www.rairo-ro.org/10.1051/ro/2024087/pdf","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230357.pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2024087","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2024087","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ro/2024087","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/04/ro230357.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - 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/W4394908707.pdf","grobid_xml":"https://content.openalex.org/works/W4394908707.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1024110","https://openalex.org/W1971496656","https://openalex.org/W1978646367","https://openalex.org/W2003407832","https://openalex.org/W2013520638","https://openalex.org/W2024060531","https://openalex.org/W2056760934","https://openalex.org/W2061607408","https://openalex.org/W2078721614","https://openalex.org/W2086391028","https://openalex.org/W2103054960","https://openalex.org/W2114939271","https://openalex.org/W2115910554","https://openalex.org/W2135879356","https://openalex.org/W2154061444","https://openalex.org/W2277678953","https://openalex.org/W2495457432","https://openalex.org/W2895923985","https://openalex.org/W2913855964","https://openalex.org/W2982852456","https://openalex.org/W3005644271","https://openalex.org/W3020092008","https://openalex.org/W3132951215"],"related_works":["https://openalex.org/W2102679430","https://openalex.org/W2766406577","https://openalex.org/W2370205469","https://openalex.org/W2020990755","https://openalex.org/W3036464408","https://openalex.org/W2377851227","https://openalex.org/W4293088966","https://openalex.org/W2625742927","https://openalex.org/W2366868484","https://openalex.org/W4299819625"],"abstract_inverted_index":{"This":[0,9],"paper":[1],"addresses":[2],"the":[3,72,75,97],"unconstrained":[4],"binary":[5,18],"quadratic":[6,15],"problem":[7,10,59,77],"(UQP).":[8],"consists":[11],"in":[12,25,87,106],"minimizing":[13],"a":[14,17,28,46,88],"function":[16],"variables":[19],"(0":[20],"\u2212":[21],"1":[22],"variables).":[23],"Accordingly,":[24],"this":[26,53,67],"work,":[27],"hybrid":[29],"algorithm":[30,37,54],"called":[31],"(HA),":[32],"based":[33,51],"on":[34,52],"simulated":[35],"annealing":[36],"with":[38],"some":[39,84],"combination":[40],"procedures,":[41],"have":[42],"been":[43,62],"proposed":[44],"and":[45,48,56,78,101,104,108],"branch":[47],"bound":[49],"procedure,":[50],"(HA)":[55],"semidefinite":[57],"programming":[58],"(SDP),":[60],"has":[61],"applied.":[63],"The":[64],"purpose":[65],"of":[66,74,110],"approach":[68],"is":[69],"to":[70,95],"facilitate":[71],"resolution":[73],"initial":[76],"reduce":[79],"its":[80],"dimension":[81],"by":[82],"using":[83],"fixing":[85],"criteria":[86],"repeat":[89],"loop.":[90],"Numerical":[91],"results":[92,100],"are":[93],"presented":[94],"consolidate":[96],"demonstrated":[98],"theoretical":[99],"prove":[102],"effectiveness":[103],"performance":[105],"speed":[107],"quality":[109],"our":[111],"new":[112],"approach.":[113]},"counts_by_year":[],"updated_date":"2026-03-12T06:13:28.667946","created_date":"2025-10-10T00:00:00"}