{"id":"https://openalex.org/W4402763083","doi":"https://doi.org/10.1007/s12190-024-02244-8","title":"A novel global algorithm for solving linear multiplicative problem by integrating linear combination rule and branch-and-bound framework","display_name":"A novel global algorithm for solving linear multiplicative problem by integrating linear combination rule and branch-and-bound framework","publication_year":2024,"publication_date":"2024-09-23","ids":{"openalex":"https://openalex.org/W4402763083","doi":"https://doi.org/10.1007/s12190-024-02244-8"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02244-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02244-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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/A5032715621","display_name":"Y Zhang","orcid":"https://orcid.org/0000-0003-0696-2289"},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanzhen Zhang","raw_affiliation_strings":["College of Mathematics and Information Science,  Henan Normal University, Xinxiang, 453007, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science,  Henan Normal University, Xinxiang, 453007, China","institution_ids":["https://openalex.org/I75955062"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075432093","display_name":"Peiping Shen","orcid":"https://orcid.org/0000-0003-0956-4892"},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]},{"id":"https://openalex.org/I198645480","display_name":"North China University of Water Resources and Electric Power","ror":"https://ror.org/03acrzv41","country_code":"CN","type":"education","lineage":["https://openalex.org/I198645480"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peiping Shen","raw_affiliation_strings":["College of Mathematics and Information Science,  Henan Normal University, Xinxiang, 453007, China","School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science,  Henan Normal University, Xinxiang, 453007, China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China","institution_ids":["https://openalex.org/I198645480"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032715621"],"corresponding_institution_ids":["https://openalex.org/I75955062"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5095,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.81722246,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"71","issue":"1","first_page":"365","last_page":"386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9976000189781189,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.989300012588501,"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/multiplicative-function","display_name":"Multiplicative function","score":0.8347774744033813},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7837209105491638},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.7614865303039551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7563527822494507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5234562754631042},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.4844667911529541},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4302394688129425},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38094764947891235},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05540928244590759}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.8347774744033813},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7837209105491638},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.7614865303039551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7563527822494507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5234562754631042},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.4844667911529541},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4302394688129425},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38094764947891235},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05540928244590759}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02244-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02244-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5469264415","display_name":null,"funder_award_id":"12071133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1540673015","https://openalex.org/W1563945042","https://openalex.org/W1974288696","https://openalex.org/W1975788803","https://openalex.org/W1989218402","https://openalex.org/W2017990047","https://openalex.org/W2025321126","https://openalex.org/W2030656924","https://openalex.org/W2042413420","https://openalex.org/W2057427500","https://openalex.org/W2072194701","https://openalex.org/W2077306527","https://openalex.org/W2113622401","https://openalex.org/W2115855742","https://openalex.org/W2127331687","https://openalex.org/W2185733783","https://openalex.org/W2346374866","https://openalex.org/W2509864001","https://openalex.org/W2568448495","https://openalex.org/W2606801465","https://openalex.org/W2741201096","https://openalex.org/W2888026831","https://openalex.org/W2906903862","https://openalex.org/W2927591717","https://openalex.org/W2985623611","https://openalex.org/W3010536279","https://openalex.org/W3037338687","https://openalex.org/W3083412729","https://openalex.org/W3167349343","https://openalex.org/W3205109251","https://openalex.org/W4206476771","https://openalex.org/W4249840661","https://openalex.org/W4293832943","https://openalex.org/W4319072617","https://openalex.org/W4323304624","https://openalex.org/W4386253401","https://openalex.org/W4399258868"],"related_works":["https://openalex.org/W2084616826","https://openalex.org/W1983294952","https://openalex.org/W2009796757","https://openalex.org/W2568448495","https://openalex.org/W2008600006","https://openalex.org/W1972259521","https://openalex.org/W4249573192","https://openalex.org/W2941986668","https://openalex.org/W2089185195","https://openalex.org/W4255223395"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}