{"id":"https://openalex.org/W1985624218","doi":"https://doi.org/10.1007/s10898-010-9554-4","title":"Branching on hyperplane methods for mixed integer linear and convex programming using adjoint lattices","display_name":"Branching on hyperplane methods for mixed integer linear and convex programming using adjoint lattices","publication_year":2010,"publication_date":"2010-05-14","ids":{"openalex":"https://openalex.org/W1985624218","doi":"https://doi.org/10.1007/s10898-010-9554-4","mag":"1985624218"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-010-9554-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-010-9554-4","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","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/A5036216845","display_name":"Sanjay Mehrotra","orcid":"https://orcid.org/0000-0003-1106-1901"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sanjay Mehrotra","raw_affiliation_strings":["Department of Industrial Engineering and Management Sciences, Robert R. McCormick School of Engineering, Northwestern University, 60208, Evanston, IL, USA","Department of Industrial Engineering and Management Sciences, Robert R. McCormick School of Engineering, Northwestern University, Evanston, USA 60208#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management Sciences, Robert R. McCormick School of Engineering, Northwestern University, 60208, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Department of Industrial Engineering and Management Sciences, Robert R. McCormick School of Engineering, Northwestern University, Evanston, USA 60208#TAB#","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100634431","display_name":"Zhifeng Li","orcid":"https://orcid.org/0000-0002-9653-7907"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhifeng Li","raw_affiliation_strings":["Department of Industrial Engineering and Management Sciences, Robert R. McCormick School of Engineering, Northwestern University, 60208, Evanston, IL, USA","Department of Industrial Engineering and Management Sciences, Robert R. McCormick School of Engineering, Northwestern University, Evanston, USA 60208#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management Sciences, Robert R. McCormick School of Engineering, Northwestern University, 60208, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Department of Industrial Engineering and Management Sciences, Robert R. McCormick School of Engineering, Northwestern University, Evanston, USA 60208#TAB#","institution_ids":["https://openalex.org/I111979921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036216845"],"corresponding_institution_ids":["https://openalex.org/I111979921"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":3.0921,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.9091951,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"4","first_page":"623","last_page":"649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"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/T10237","display_name":"Cryptography and Data Security","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9384981989860535},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.8526934385299683},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6576528549194336},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.615730881690979},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5610496997833252},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4619503319263458},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4565851092338562},{"id":"https://openalex.org/keywords/integer-points-in-convex-polyhedra","display_name":"Integer points in convex polyhedra","score":0.43924179673194885},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3656404912471771},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35782957077026367},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.34822922945022583},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09562695026397705}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9384981989860535},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.8526934385299683},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6576528549194336},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.615730881690979},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5610496997833252},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4619503319263458},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4565851092338562},{"id":"https://openalex.org/C147700949","wikidata":"https://www.wikidata.org/wiki/Q6042594","display_name":"Integer points in convex polyhedra","level":4,"score":0.43924179673194885},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3656404912471771},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35782957077026367},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.34822922945022583},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09562695026397705},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-010-9554-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-010-9554-4","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:49:y:2011:i:4:p:623-649","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-010-9554-4","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W187211397","https://openalex.org/W200029444","https://openalex.org/W652868679","https://openalex.org/W1482956368","https://openalex.org/W1493498136","https://openalex.org/W1505694420","https://openalex.org/W1507741784","https://openalex.org/W1508501959","https://openalex.org/W1557027117","https://openalex.org/W1562114180","https://openalex.org/W1592882366","https://openalex.org/W1632601927","https://openalex.org/W1762430620","https://openalex.org/W1963547452","https://openalex.org/W1966629740","https://openalex.org/W1966632650","https://openalex.org/W1980869082","https://openalex.org/W1992404387","https://openalex.org/W2048609007","https://openalex.org/W2055356142","https://openalex.org/W2063176644","https://openalex.org/W2064684117","https://openalex.org/W2070788858","https://openalex.org/W2075603209","https://openalex.org/W2098919194","https://openalex.org/W2102738679","https://openalex.org/W2105277260","https://openalex.org/W2111416661","https://openalex.org/W2114616381","https://openalex.org/W2115211938","https://openalex.org/W2117504940","https://openalex.org/W2133857440","https://openalex.org/W2138663260","https://openalex.org/W2141040012","https://openalex.org/W2150008491","https://openalex.org/W2152037116","https://openalex.org/W2165323796","https://openalex.org/W2755308069","https://openalex.org/W2912522929","https://openalex.org/W2917703109","https://openalex.org/W4231913195","https://openalex.org/W4243629198","https://openalex.org/W4301808069"],"related_works":["https://openalex.org/W2769538987","https://openalex.org/W134055995","https://openalex.org/W4302819359","https://openalex.org/W579069454","https://openalex.org/W139245164","https://openalex.org/W4250971875","https://openalex.org/W4210880521","https://openalex.org/W4248426217","https://openalex.org/W2769220156","https://openalex.org/W4300803591"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}
