{"id":"https://openalex.org/W1989707854","doi":"https://doi.org/10.1007/s001860200217","title":"Unbiased approximation in multicriteria optimization","display_name":"Unbiased approximation in multicriteria optimization","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1989707854","doi":"https://doi.org/10.1007/s001860200217","mag":"1989707854"},"language":"en","primary_location":{"id":"doi:10.1007/s001860200217","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860200217","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research (ZOR)","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/A5056075291","display_name":"Kathrin Klamroth","orcid":"https://orcid.org/0000-0001-9119-0732"},"institutions":[{"id":"https://openalex.org/I4210124601","display_name":"Department of Mathematical Sciences","ror":"https://ror.org/02xkdev90","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK","RU"],"is_corresponding":true,"raw_author_name":"Kathrin Klamroth","raw_affiliation_strings":["Department of Statistics and Operations Research, Institute for Mathematical Sciences, University of Copenhagen, Denmark (e-mail: tind@math.ku.dk), , , , , , DK","Department of Statistics and Operations Research, Institute for Mathematical Sciences, University of Copenhagen, Denmark (e-mail: tind@math.ku.dk), , DK"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, Institute for Mathematical Sciences, University of Copenhagen, Denmark (e-mail: tind@math.ku.dk), , , , , , DK","institution_ids":["https://openalex.org/I4210124601"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, Institute for Mathematical Sciences, University of Copenhagen, Denmark (e-mail: tind@math.ku.dk), , DK","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109237581","display_name":"J\ufffdrgen Tind","orcid":null},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]},{"id":"https://openalex.org/I4210124601","display_name":"Department of Mathematical Sciences","ror":"https://ror.org/02xkdev90","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]}],"countries":["DK","RU"],"is_corresponding":false,"raw_author_name":"J&#x000F8;rgen Tind","raw_affiliation_strings":["Department of Statistics and Operations Research, Institute for Mathematical Sciences, University of Copenhagen, Denmark (e-mail: tind@math.ku.dk), , , , , , DK","Department of Statistics and Operations Research, Institute for Mathematical Sciences, University of Copenhagen, Denmark (e-mail: tind@math.ku.dk), , DK"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, Institute for Mathematical Sciences, University of Copenhagen, Denmark (e-mail: tind@math.ku.dk), , , , , , DK","institution_ids":["https://openalex.org/I4210124601"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, Institute for Mathematical Sciences, University of Copenhagen, Denmark (e-mail: tind@math.ku.dk), , DK","institution_ids":["https://openalex.org/I124055696"]}]},{"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, USA, , , , , , US","Department of Mathematical Sciences, Clemson University, Clemson, SC, USA, , US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, SC, USA, , , , , , US","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, SC, USA, , US","institution_ids":["https://openalex.org/I8078737"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056075291"],"corresponding_institution_ids":["https://openalex.org/I124055696","https://openalex.org/I4210124601"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.2991,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.9217841,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"56","issue":"3","first_page":"413","last_page":"437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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":0.9991999864578247,"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":0.9955999851226807,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7465091347694397},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5625320672988892},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5550468564033508},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5537155270576477},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5406264066696167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49405983090400696},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.45088258385658264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4420914351940155},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4418722093105316},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.43018150329589844},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.419563889503479},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4158893823623657}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7465091347694397},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5625320672988892},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5550468564033508},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5537155270576477},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5406264066696167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49405983090400696},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.45088258385658264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4420914351940155},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4418722093105316},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.43018150329589844},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.419563889503479},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4158893823623657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001860200217","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860200217","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research (ZOR)","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:compst:v:56:y:2003:i:3:p:413-437","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s001860200217","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":"","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":21,"referenced_works":["https://openalex.org/W398727469","https://openalex.org/W1497055567","https://openalex.org/W1517042016","https://openalex.org/W1548789518","https://openalex.org/W1595498733","https://openalex.org/W1972997295","https://openalex.org/W1993434140","https://openalex.org/W2003412293","https://openalex.org/W2022266599","https://openalex.org/W2047658248","https://openalex.org/W2051291516","https://openalex.org/W2061475578","https://openalex.org/W2074929329","https://openalex.org/W2085031788","https://openalex.org/W2085830763","https://openalex.org/W2085967379","https://openalex.org/W2094016518","https://openalex.org/W2109764733","https://openalex.org/W2112601096","https://openalex.org/W2210195496","https://openalex.org/W2992148483"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2988866178","https://openalex.org/W2083709218","https://openalex.org/W2369734084"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
