{"id":"https://openalex.org/W1991050105","doi":"https://doi.org/10.1051/ro:1999112","title":"Linear optimization with multiple equitable criteria","display_name":"Linear optimization with multiple equitable criteria","publication_year":1999,"publication_date":"1999-07-01","ids":{"openalex":"https://openalex.org/W1991050105","doi":"https://doi.org/10.1051/ro:1999112","mag":"1991050105"},"language":"en","primary_location":{"id":"doi:10.1051/ro:1999112","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro:1999112","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","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/A5061500988","display_name":"Michael M. Kostreva","orcid":null},"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":true,"raw_author_name":"Michael M. Kostreva","raw_affiliation_strings":["Clemson University, Mathematical Sciences, Clemson, South Carolina, SC 29634, U.S.A"],"affiliations":[{"raw_affiliation_string":"Clemson University, Mathematical Sciences, Clemson, South Carolina, SC 29634, U.S.A","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011898882","display_name":"W\u0142odzimierz Ogryczak","orcid":"https://orcid.org/0000-0002-3923-4053"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Wodzimierz Ogryczak","raw_affiliation_strings":["Warsaw University, Mathematics & Computer Science, 02-097 Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Warsaw University, Mathematics & Computer Science, 02-097 Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061500988"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":null,"apc_paid":null,"fwci":3.1851,"has_fulltext":false,"cited_by_count":100,"citation_normalized_percentile":{"value":0.91674521,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"33","issue":"3","first_page":"275","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.95169997215271,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.95169997215271,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9501000046730042,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9153000116348267,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7061532139778137},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6711843609809875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5712871551513672},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5627240538597107},{"id":"https://openalex.org/keywords/pareto-efficiency","display_name":"Pareto efficiency","score":0.5351427793502808},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5209190249443054},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.48964983224868774},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4753004014492035},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.42703548073768616},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.41103559732437134},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.37167835235595703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31196558475494385}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7061532139778137},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6711843609809875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5712871551513672},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5627240538597107},{"id":"https://openalex.org/C2778599509","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto efficiency","level":3,"score":0.5351427793502808},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5209190249443054},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.48964983224868774},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4753004014492035},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.42703548073768616},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.41103559732437134},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.37167835235595703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31196558475494385},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro:1999112","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro:1999112","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.703.3414","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.703.3414","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ia.pw.edu.pl/%7Ewogrycza/publikacje/artykuly/myro99.pdf","raw_type":"text"},{"id":"pmh:oai:numdam.org:RO_1999__33_3_275_0","is_oa":false,"landing_page_url":"https://www.numdam.org/item/RO_1999__33_3_275_0/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W1640180556","https://openalex.org/W329313523","https://openalex.org/W2262032878","https://openalex.org/W2116374711"],"abstract_inverted_index":{"The":[0],"standard":[1],"multiple":[2,41],"criteria":[3,11,22,42,47],"optimization":[4,43],"starts":[5],"with":[6,45],"an":[7,50,62],"assumption":[8],"that":[9],"the":[10,21,72,75],"are":[12,16,69],"incomparable.":[13],"However,":[14],"there":[15],"many":[17],"applications":[18],"in":[19,49],"which":[20],"express":[23],"ideas":[24],"of":[25,27,56,64,74],"allocation":[26],"resources":[28],"meant":[29],"to":[30],"achieve":[31],"some":[32],"equitable":[33,51,57],"distribution.":[34],"This":[35],"paper":[36],"focuses":[37],"on":[38],"solving":[39],"linear":[40],"problems":[44],"uniform":[46],"treated":[48],"way.":[52],"An":[53],"axiomatic":[54],"definition":[55],"efficiency":[58],"is":[59,79],"introduced":[60],"as":[61],"refinement":[63],"Pareto-optimality.":[65],"Various":[66],"generation":[67],"techniques":[68],"examined":[70],"and":[71],"structure":[73],"equitably":[76],"efficient":[77],"set":[78],"analyzed.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
