{"id":"https://openalex.org/W4404447551","doi":"https://doi.org/10.1007/s10589-024-00622-3","title":"A New branch-and-cut algorithm for linear sum-of-ratios problem based on SLO method and LO relaxation","display_name":"A New branch-and-cut algorithm for linear sum-of-ratios problem based on SLO method and LO relaxation","publication_year":2024,"publication_date":"2024-11-17","ids":{"openalex":"https://openalex.org/W4404447551","doi":"https://doi.org/10.1007/s10589-024-00622-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-024-00622-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-024-00622-3","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5025452128","display_name":"Hezhi Luo","orcid":"https://orcid.org/0000-0001-9385-5697"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hezhi Luo","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China"],"raw_orcid":"https://orcid.org/0000-0001-9385-5697","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038834628","display_name":"Youmin Xu","orcid":"https://orcid.org/0000-0003-2510-3850"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youmin Xu","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100940493","display_name":"Huixian Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huixian Wu","raw_affiliation_strings":["Department of Mathematics, College of Science, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010220381","display_name":"Guoqiang Wang","orcid":"https://orcid.org/0000-0001-6277-5467"},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoqiang Wang","raw_affiliation_strings":["School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai, 201620, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai, 201620, China","institution_ids":["https://openalex.org/I141962983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025452128"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4493,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82702634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"90","issue":"1","first_page":"257","last_page":"301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.9983000159263611,"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/T10545","display_name":"Optimization and Variational Analysis","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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8524596095085144},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.659240186214447},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6475849151611328},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6308932304382324},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.6195483803749084},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.607011079788208},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.5422428846359253},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5233042240142822},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5136145949363708},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4644449055194855},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45901668071746826},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.4348946213722229},{"id":"https://openalex.org/keywords/criss-cross-algorithm","display_name":"Criss-cross algorithm","score":0.41904258728027344},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"Linear-fractional programming","score":0.3455852270126343},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21134641766548157}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8524596095085144},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.659240186214447},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6475849151611328},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6308932304382324},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.6195483803749084},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.607011079788208},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.5422428846359253},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5233042240142822},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5136145949363708},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4644449055194855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45901668071746826},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.4348946213722229},{"id":"https://openalex.org/C52486349","wikidata":"https://www.wikidata.org/wiki/Q17006040","display_name":"Criss-cross algorithm","level":4,"score":0.41904258728027344},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.3455852270126343},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21134641766548157},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-024-00622-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-024-00622-3","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:90:y:2025:i:1:d:10.1007_s10589-024-00622-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-024-00622-3","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W36747366","https://openalex.org/W1482298744","https://openalex.org/W1505348331","https://openalex.org/W1507300232","https://openalex.org/W1556949287","https://openalex.org/W1963562015","https://openalex.org/W1971847617","https://openalex.org/W1972204922","https://openalex.org/W1975552235","https://openalex.org/W1978108972","https://openalex.org/W1984391506","https://openalex.org/W1988622494","https://openalex.org/W1994011100","https://openalex.org/W1997608434","https://openalex.org/W2014833368","https://openalex.org/W2018277783","https://openalex.org/W2021674665","https://openalex.org/W2026971626","https://openalex.org/W2034713829","https://openalex.org/W2036891820","https://openalex.org/W2039338617","https://openalex.org/W2048881327","https://openalex.org/W2050513930","https://openalex.org/W2051668769","https://openalex.org/W2061039541","https://openalex.org/W2074456373","https://openalex.org/W2078340238","https://openalex.org/W2081929325","https://openalex.org/W2088951714","https://openalex.org/W2102501784","https://openalex.org/W2118365217","https://openalex.org/W2156577211","https://openalex.org/W2736798316","https://openalex.org/W2888026831","https://openalex.org/W2898670674","https://openalex.org/W3036094844","https://openalex.org/W3169262658","https://openalex.org/W3194434306","https://openalex.org/W4210927028","https://openalex.org/W4239256746","https://openalex.org/W4313257262","https://openalex.org/W4367844420","https://openalex.org/W4376644757","https://openalex.org/W4390904210"],"related_works":["https://openalex.org/W4205854323","https://openalex.org/W2009796757","https://openalex.org/W2115855742","https://openalex.org/W2059496069","https://openalex.org/W3149578574","https://openalex.org/W2974586822","https://openalex.org/W2568448495","https://openalex.org/W2024753861","https://openalex.org/W2351457120","https://openalex.org/W3037338687"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}