{"id":"https://openalex.org/W3037851372","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":2021,"publication_date":"2021-02-11","ids":{"openalex":"https://openalex.org/W3037851372","doi":"https://doi.org/10.1080/10556788.2021.1880579","mag":"3037851372"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2021.1880579","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2021.1880579","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.15600.pdf","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":"Daniel D\u00f6rfler","raw_affiliation_strings":["Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany","University of Jena"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany","institution_ids":["https://openalex.org/I76198965"]},{"raw_affiliation_string":"University of Jena","institution_ids":[]}]},{"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":"Andreas L\u00f6hne","raw_affiliation_strings":["Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany"],"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":"https://orcid.org/0000-0003-2903-8347"},"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":"Christopher Schneider","raw_affiliation_strings":["Department of Mathematics, Ernst Abbe University of Applied Sciences Jena, Jena, Germany"],"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":"Benjamin Wei\u00dfing","raw_affiliation_strings":["Department of Mathematical Optimization, Friedrich Schiller University Jena, Jena, Germany"],"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":0.39209388,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50744337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"37","issue":"3","first_page":"1006","last_page":"1026"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9993000030517578,"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":0.9948999881744385,"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/bounded-function","display_name":"Bounded function","score":0.7216839790344238},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6961252093315125},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.6110406517982483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5486071109771729},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5405148267745972},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4995884895324707},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45107194781303406},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4271225035190582},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26974111795425415},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07942327857017517},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06597915291786194},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.06124129891395569}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7216839790344238},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6961252093315125},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.6110406517982483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5486071109771729},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5405148267745972},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4995884895324707},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45107194781303406},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4271225035190582},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26974111795425415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07942327857017517},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06597915291786194},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06124129891395569}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10556788.2021.1880579","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2021.1880579","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"mag:3037851372","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2006.15600.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:unibz.it:11334203090001241","is_oa":false,"landing_page_url":"https://www.tandfonline.com/doi/full/10.1080/10556788.2021.1880579","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2006.15600","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.15600","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"mag:3037851372","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2006.15600.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W101464157","https://openalex.org/W251973404","https://openalex.org/W427674437","https://openalex.org/W579169482","https://openalex.org/W1528815044","https://openalex.org/W1554944419","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/W2152799677","https://openalex.org/W2212241622","https://openalex.org/W2296319761","https://openalex.org/W2590334092","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/W3150024957","https://openalex.org/W3215382836","https://openalex.org/W4206223007","https://openalex.org/W4211127055","https://openalex.org/W4249667877","https://openalex.org/W4250589301","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2075566691","https://openalex.org/W3154547765","https://openalex.org/W1527225905","https://openalex.org/W2072884775","https://openalex.org/W1963892562","https://openalex.org/W3013729240","https://openalex.org/W2136293333","https://openalex.org/W1521575568","https://openalex.org/W2990441249","https://openalex.org/W819956234","https://openalex.org/W3105674100","https://openalex.org/W2904818131","https://openalex.org/W2582566462","https://openalex.org/W2755875357","https://openalex.org/W2070109874","https://openalex.org/W2999853882","https://openalex.org/W3137879310","https://openalex.org/W2767231366","https://openalex.org/W2986871914","https://openalex.org/W2754227567"],"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\u00f6hne,":[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":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
