{"id":"https://openalex.org/W2038828364","doi":"https://doi.org/10.1142/s0219622011004622","title":"OPTIMAL MULTI-ATTRIBUTE AUCTIONS FOR DIVISIBLE GOODS","display_name":"OPTIMAL MULTI-ATTRIBUTE AUCTIONS FOR DIVISIBLE GOODS","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W2038828364","doi":"https://doi.org/10.1142/s0219622011004622","mag":"2038828364"},"language":"en","primary_location":{"id":"doi:10.1142/s0219622011004622","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622011004622","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Technology & Decision Making","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/A5101652892","display_name":"Congjun Rao","orcid":"https://orcid.org/0000-0002-1045-559X"},"institutions":[{"id":"https://openalex.org/I10011244","display_name":"Huanggang Normal University","ror":"https://ror.org/007gf6e19","country_code":"CN","type":"education","lineage":["https://openalex.org/I10011244"]},{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"CONGJUN RAO","raw_affiliation_strings":["College of Mathematics and Information Science, Huanggang Normal University, Huanggang 438000, P. R. China","Institute of Systems Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","College of Mathematics and information Science, Huanggang Normal University, Huanggang 438000, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Huanggang Normal University, Huanggang 438000, P. R. China","institution_ids":["https://openalex.org/I10011244"]},{"raw_affiliation_string":"Institute of Systems Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"College of Mathematics and information Science, Huanggang Normal University, Huanggang 438000, P. R. China","institution_ids":["https://openalex.org/I10011244"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069093089","display_name":"Yong Zhao","orcid":"https://orcid.org/0000-0001-8390-6390"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YONG ZHAO","raw_affiliation_strings":["Institute of Systems Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019580960","display_name":"Yang Chen","orcid":"https://orcid.org/0009-0008-1409-4163"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YANG CHEN","raw_affiliation_strings":["Institute of Systems Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6678,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84879122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"05","first_page":"891","last_page":"911"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":1.0,"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/T11182","display_name":"Auction Theory and Applications","score":1.0,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12779","display_name":"Public Procurement and Policy","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/revenue-equivalence","display_name":"Revenue equivalence","score":0.6683257818222046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6263072490692139},{"id":"https://openalex.org/keywords/reverse-auction","display_name":"Reverse auction","score":0.6045314073562622},{"id":"https://openalex.org/keywords/auction-theory","display_name":"Auction theory","score":0.6009039878845215},{"id":"https://openalex.org/keywords/forward-auction","display_name":"Forward auction","score":0.5877972841262817},{"id":"https://openalex.org/keywords/common-value-auction","display_name":"Common value auction","score":0.5697296857833862},{"id":"https://openalex.org/keywords/vickrey\u2013clarke\u2013groves-auction","display_name":"Vickrey\u2013Clarke\u2013Groves auction","score":0.5215330123901367},{"id":"https://openalex.org/keywords/negotiation","display_name":"Negotiation","score":0.5153316855430603},{"id":"https://openalex.org/keywords/procurement","display_name":"Procurement","score":0.5048592686653137},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47775760293006897},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4629638195037842},{"id":"https://openalex.org/keywords/vickrey-auction","display_name":"Vickrey auction","score":0.4304197132587433},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.40001899003982544},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35954225063323975},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.21135559678077698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1373474895954132},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13192987442016602}],"concepts":[{"id":"https://openalex.org/C143684077","wikidata":"https://www.wikidata.org/wiki/Q431186","display_name":"Revenue equivalence","level":4,"score":0.6683257818222046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6263072490692139},{"id":"https://openalex.org/C194291561","wikidata":"https://www.wikidata.org/wiki/Q2852717","display_name":"Reverse auction","level":3,"score":0.6045314073562622},{"id":"https://openalex.org/C11276805","wikidata":"https://www.wikidata.org/wiki/Q771334","display_name":"Auction theory","level":3,"score":0.6009039878845215},{"id":"https://openalex.org/C160903226","wikidata":"https://www.wikidata.org/wiki/Q5473265","display_name":"Forward auction","level":4,"score":0.5877972841262817},{"id":"https://openalex.org/C163239763","wikidata":"https://www.wikidata.org/wiki/Q5153637","display_name":"Common value auction","level":2,"score":0.5697296857833862},{"id":"https://openalex.org/C147220207","wikidata":"https://www.wikidata.org/wiki/Q773073","display_name":"Vickrey\u2013Clarke\u2013Groves auction","level":4,"score":0.5215330123901367},{"id":"https://openalex.org/C199776023","wikidata":"https://www.wikidata.org/wiki/Q202875","display_name":"Negotiation","level":2,"score":0.5153316855430603},{"id":"https://openalex.org/C201650216","wikidata":"https://www.wikidata.org/wiki/Q829492","display_name":"Procurement","level":2,"score":0.5048592686653137},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47775760293006897},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4629638195037842},{"id":"https://openalex.org/C83426474","wikidata":"https://www.wikidata.org/wiki/Q243758","display_name":"Vickrey auction","level":4,"score":0.4304197132587433},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.40001899003982544},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35954225063323975},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.21135559678077698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1373474895954132},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13192987442016602},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219622011004622","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622011004622","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Technology & Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:10:y:2011:i:05:n:s0219622011004622","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219622011004622","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":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:10:y:2011:i:05:p:891-911","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219622011004622","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1548462700","https://openalex.org/W1585785173","https://openalex.org/W1969951687","https://openalex.org/W1973297548","https://openalex.org/W1973492197","https://openalex.org/W2001276576","https://openalex.org/W2004027994","https://openalex.org/W2010010720","https://openalex.org/W2027869286","https://openalex.org/W2029050771","https://openalex.org/W2037569168","https://openalex.org/W2043566116","https://openalex.org/W2046212883","https://openalex.org/W2053910446","https://openalex.org/W2060188062","https://openalex.org/W2077885384","https://openalex.org/W2088277553","https://openalex.org/W2130234209","https://openalex.org/W2147417507","https://openalex.org/W2152122699","https://openalex.org/W2158601122","https://openalex.org/W2160600675","https://openalex.org/W3023100729","https://openalex.org/W3124552336","https://openalex.org/W3145395265","https://openalex.org/W4297440425"],"related_works":["https://openalex.org/W2361652572","https://openalex.org/W2057067174","https://openalex.org/W2391675667","https://openalex.org/W2113120304","https://openalex.org/W3159569451","https://openalex.org/W1928389561","https://openalex.org/W1816920807","https://openalex.org/W3124136541","https://openalex.org/W4286895340","https://openalex.org/W2366721448"],"abstract_inverted_index":{"In":[0],"this":[1,100],"paper,":[2],"the":[3,30,52,57,92,102,109,112,124,135],"problem":[4],"of":[5,9,18,32,42,46,66,83,111],"multi-attribute":[6,19,43,71,84,114,120,137],"procurement":[7,44,85,127],"auction":[8,72,86,115,121,138],"divisible":[10,34,47],"goods":[11,48],"is":[12,36,89,96,128],"investigated,":[13],"and":[14,51,56],"an":[15,80],"optimal":[16,81,103,113,136],"mechanism":[17,73],"auction,":[20],"which":[21],"enables":[22],"negotiation":[23],"on":[24,77],"several":[25,39],"attributes":[26],"in":[27],"addition":[28],"to":[29,90,130,133],"price":[31],"a":[33,64,119],"good,":[35],"designed.":[37],"First,":[38],"important":[40],"assumptions":[41],"auctions":[45],"are":[49,61,74,106,116],"given,":[50],"buyer's":[53,93],"utility":[54,59],"function":[55,60],"supplier's":[58],"defined.":[62],"Then,":[63],"set":[65],"sufficient":[67],"conditions":[68],"for":[69],"feasible":[70],"given.":[75],"Based":[76],"these":[78],"conditions,":[79],"model":[82],"whose":[87],"goal":[88],"maximize":[91],"expected":[94],"utility,":[95],"established.":[97],"By":[98],"solving":[99],"model,":[101],"allocation":[104],"strategies":[105],"obtained.":[107],"Third,":[108],"properties":[110],"discussed.":[117],"Finally,":[118],"example":[122],"about":[123],"steam":[125],"coal":[126],"given":[129],"show":[131],"how":[132],"implement":[134],"mechanism.":[139]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}