{"id":"https://openalex.org/W1989227105","doi":"https://doi.org/10.1007/s10898-004-5902-6","title":"Saddle Points and Pareto Points in Multiple Objective Programming","display_name":"Saddle Points and Pareto Points in Multiple Objective Programming","publication_year":2005,"publication_date":"2005-05-01","ids":{"openalex":"https://openalex.org/W1989227105","doi":"https://doi.org/10.1007/s10898-004-5902-6","mag":"1989227105"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-004-5902-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-004-5902-6","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/A5019869178","display_name":"Matthias Ehrgott","orcid":"https://orcid.org/0000-0003-4648-4066"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Matthias Ehrgott","raw_affiliation_strings":["Department of Engineering Science, University of Auckland, Auckland, New Zealand","Department of Engineering Science,  University of Auckland, Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"Department of Engineering Science,  University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084196641","display_name":"Margaret M. Wiecek","orcid":"https://orcid.org/0000-0001-6853-2626"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Margaret M. Wiecek","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, Clemson, SC, 29634, USA","Department of Mathematical Sciences, Clemson University, Clemson, USA 29634"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, SC, 29634, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, USA 29634","institution_ids":["https://openalex.org/I8078737"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019869178"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.6733,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.69945276,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"32","issue":"1","first_page":"11","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983999729156494,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8548439145088196},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7907406091690063},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.7153571844100952},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6880124807357788},{"id":"https://openalex.org/keywords/pareto-interpolation","display_name":"Pareto interpolation","score":0.5485442876815796},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5161188840866089},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47043129801750183},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4689576029777527},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4511706531047821},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.4422111511230469},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43515971302986145},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42404186725616455},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17278721928596497},{"id":"https://openalex.org/keywords/generalized-pareto-distribution","display_name":"Generalized Pareto distribution","score":0.11405041813850403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09492918848991394},{"id":"https://openalex.org/keywords/extreme-value-theory","display_name":"Extreme value theory","score":0.07216548919677734},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06916496157646179},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06222367286682129}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8548439145088196},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7907406091690063},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.7153571844100952},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6880124807357788},{"id":"https://openalex.org/C38814450","wikidata":"https://www.wikidata.org/wiki/Q7136870","display_name":"Pareto interpolation","level":4,"score":0.5485442876815796},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5161188840866089},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47043129801750183},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4689576029777527},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4511706531047821},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.4422111511230469},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43515971302986145},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42404186725616455},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17278721928596497},{"id":"https://openalex.org/C133514767","wikidata":"https://www.wikidata.org/wiki/Q5532448","display_name":"Generalized Pareto distribution","level":3,"score":0.11405041813850403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09492918848991394},{"id":"https://openalex.org/C147581598","wikidata":"https://www.wikidata.org/wiki/Q729429","display_name":"Extreme value theory","level":2,"score":0.07216548919677734},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06916496157646179},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06222367286682129},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10898-004-5902-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-004-5902-6","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:CiteSeerX.psu:10.1.1.55.705","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.705","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathematik.uni-kl.de/~wwwwi/preprints/reports/report_30.ps.gz","raw_type":"text"},{"id":"pmh:oai:kluedo.ub.rptu.de:504","is_oa":false,"landing_page_url":"https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-4737","pdf_url":null,"source":{"id":"https://openalex.org/S4306402046","display_name":"Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I153267046","host_organization_name":"University of Kaiserslautern","host_organization_lineage":["https://openalex.org/I153267046"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"preprint"},{"id":"pmh:oai:kluedo.ub.uni-kl.de:504","is_oa":false,"landing_page_url":"https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/504","pdf_url":null,"source":{"id":"https://openalex.org/S4306402046","display_name":"Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I153267046","host_organization_name":"University of Kaiserslautern","host_organization_lineage":["https://openalex.org/I153267046"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"preprint"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W25457782","https://openalex.org/W56540075","https://openalex.org/W60593181","https://openalex.org/W89037727","https://openalex.org/W136518907","https://openalex.org/W184021022","https://openalex.org/W354989625","https://openalex.org/W1984370382","https://openalex.org/W1996762907","https://openalex.org/W1998260066","https://openalex.org/W2002064701","https://openalex.org/W2011794233","https://openalex.org/W2027847984","https://openalex.org/W2037091587","https://openalex.org/W2142065929","https://openalex.org/W2153015072","https://openalex.org/W2158550687","https://openalex.org/W2172832749","https://openalex.org/W2734495955","https://openalex.org/W2787523326","https://openalex.org/W2802620382","https://openalex.org/W4299309618"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2094891943","https://openalex.org/W4240399920"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
