{"id":"https://openalex.org/W3130355952","doi":"https://doi.org/10.1080/10556788.2021.1880579","title":"A Benson-Type Algorithm for Bounded Convex Vector Optimization Problems with Vertex Selection","display_name":"A Benson-Type Algorithm for Bounded Convex Vector Optimization Problems with Vertex Selection","publication_year":2020,"publication_date":"2020-06-28","ids":{"openalex":"https://openalex.org/W3130355952","doi":"https://doi.org/10.1080/10556788.2021.1880579","mag":"3130355952"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2006.15600","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.15600","pdf_url":"https://arxiv.org/pdf/2006.15600","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"type":"article","indexed_in":["arxiv"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.15600","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043896036","display_name":"Daniel D\u00f6rfler","orcid":"https://orcid.org/0000-0002-9503-3619"},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"D\u00f6rfler, Daniel","raw_affiliation_strings":["Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000972738","display_name":"Andreas L\u00f6hne","orcid":"https://orcid.org/0000-0003-0872-4735"},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"L\u00f6hne, Andreas","raw_affiliation_strings":["Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089564538","display_name":"Christopher Schneider","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107832","display_name":"Ernst Abbe University of Applied Sciences Jena","ror":"https://ror.org/01rfnc002","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210107832"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Schneider, Christopher","raw_affiliation_strings":["Department of Mathematics, Ernst Abbe University of Applied Sciences Jena, Jena, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ernst Abbe University of Applied Sciences Jena, Jena, Germany","institution_ids":["https://openalex.org/I4210107832"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036079837","display_name":"Benjamin Wei\u00dfing","orcid":null},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wei\u00dfing, Benjamin","raw_affiliation_strings":["Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5043896036"],"corresponding_institution_ids":["https://openalex.org/I76198965"],"apc_list":null,"apc_paid":null,"fwci":2.5162,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.89402218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9975000023841858,"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":0.7481366991996765},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6814597845077515},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6650925874710083},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.6158157587051392},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5179035663604736},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4946100413799286},{"id":"https://openalex.org/keywords/cutoff","display_name":"Cutoff","score":0.48867037892341614},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.43592357635498047},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3718302249908447},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.30960071086883545},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08581852912902832},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.06091594696044922},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.055755943059921265}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7481366991996765},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6814597845077515},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6650925874710083},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.6158157587051392},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5179035663604736},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4946100413799286},{"id":"https://openalex.org/C2778217198","wikidata":"https://www.wikidata.org/wiki/Q556977","display_name":"Cutoff","level":2,"score":0.48867037892341614},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.43592357635498047},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3718302249908447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30960071086883545},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08581852912902832},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06091594696044922},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.055755943059921265},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:arXiv.org:2006.15600","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.15600","pdf_url":"https://arxiv.org/pdf/2006.15600","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2006.15600","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.15600","pdf_url":"https://arxiv.org/pdf/2006.15600","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W251973404","https://openalex.org/W427674437","https://openalex.org/W579169482","https://openalex.org/W1528815044","https://openalex.org/W1575923498","https://openalex.org/W1982511487","https://openalex.org/W2012902555","https://openalex.org/W2017609413","https://openalex.org/W2021721618","https://openalex.org/W2030295088","https://openalex.org/W2040407051","https://openalex.org/W2042253025","https://openalex.org/W2048227807","https://openalex.org/W2048944090","https://openalex.org/W2054372248","https://openalex.org/W2057357578","https://openalex.org/W2057545608","https://openalex.org/W2063978378","https://openalex.org/W2064823886","https://openalex.org/W2069808690","https://openalex.org/W2089492119","https://openalex.org/W2106081954","https://openalex.org/W2113642685","https://openalex.org/W2122825543","https://openalex.org/W2134389439","https://openalex.org/W2146483477","https://openalex.org/W2212241622","https://openalex.org/W2590334092","https://openalex.org/W2595697910","https://openalex.org/W2598726939","https://openalex.org/W2613109276","https://openalex.org/W2787894218","https://openalex.org/W2905050294","https://openalex.org/W2962713781","https://openalex.org/W2965203197","https://openalex.org/W2980678216","https://openalex.org/W3100995391","https://openalex.org/W3101956660","https://openalex.org/W3102470477","https://openalex.org/W3103531705","https://openalex.org/W4206223007","https://openalex.org/W4211127055","https://openalex.org/W4249667877","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W3092388660","https://openalex.org/W1986953345","https://openalex.org/W2328322229","https://openalex.org/W3175879137","https://openalex.org/W2119262383","https://openalex.org/W4320056724","https://openalex.org/W3094919452","https://openalex.org/W641205","https://openalex.org/W2032312629","https://openalex.org/W2359008465"],"abstract_inverted_index":{"We":[0,60],"present":[1],"an":[2,16,19,46],"algorithm":[3,13,34],"for":[4,68],"approximately":[5],"solving":[6],"bounded":[7],"convex":[8],"vector":[9],"optimization":[10],"problems.":[11],"The":[12],"provides":[14],"both":[15],"outer":[17,49],"and":[18,39,64,90],"inner":[20],"polyhedral":[21],"approximation":[22,50,58,99],"of":[23,31,45],"the":[24,32,57,97],"upper":[25],"image.":[26],"It":[27],"is":[28],"a":[29,62],"modification":[30],"primal":[33],"presented":[35],"by":[36],"L\\\"ohne,":[37],"Rudloff,":[38],"Ulus":[40],"in":[41],"2014.":[42],"There,":[43],"vertices":[44],"already":[47],"known":[48],"are":[51,77],"successively":[52],"cut":[53,73],"off":[54],"to":[55,72],"improve":[56],"error.":[59],"propose":[61],"new":[63],"efficient":[65],"selection":[66],"rule":[67],"deciding":[69],"which":[70,79],"vertex":[71],"off.":[74],"Numerical":[75],"examples":[76],"provided":[78],"illustrate":[80],"that":[81],"this":[82],"method":[83],"may":[84,92],"solve":[85],"fewer":[86],"scalar":[87],"problems":[88],"overall":[89],"therefore":[91],"be":[93],"faster":[94],"while":[95],"achieving":[96],"same":[98],"quality.":[100]},"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":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2021-03-01T00:00:00"}
