{"id":"https://openalex.org/W3006164046","doi":"https://doi.org/10.1080/01605682.2020.1718561","title":"Allocating a fixed cost across decision making units with explicitly considering efficiency rankings","display_name":"Allocating a fixed cost across decision making units with explicitly considering efficiency rankings","publication_year":2020,"publication_date":"2020-02-11","ids":{"openalex":"https://openalex.org/W3006164046","doi":"https://doi.org/10.1080/01605682.2020.1718561","mag":"3006164046"},"language":"en","primary_location":{"id":"doi:10.1080/01605682.2020.1718561","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2020.1718561","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","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/A5023161928","display_name":"Feng Li","orcid":"https://orcid.org/0000-0002-4387-423X"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Li","raw_affiliation_strings":["School of Business Administration, Southwestern University of Finance and Economics, Chengdu, China;"],"raw_orcid":"https://orcid.org/0000-0002-4387-423X","affiliations":[{"raw_affiliation_string":"School of Business Administration, Southwestern University of Finance and Economics, Chengdu, China;","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044495445","display_name":"Zeyu Yan","orcid":"https://orcid.org/0000-0003-0733-5746"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeyu Yan","raw_affiliation_strings":["School of Business Administration, Southwestern University of Finance and Economics, Chengdu, China;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business Administration, Southwestern University of Finance and Economics, Chengdu, China;","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008392432","display_name":"Qingyuan Zhu","orcid":"https://orcid.org/0000-0002-2024-6134"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qingyuan Zhu","raw_affiliation_strings":["College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, China;","Research Centre for Soft Energy Science, Nanjing University of Aeronautics and Astronautics, Nanjing, China;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, China;","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Research Centre for Soft Energy Science, Nanjing University of Aeronautics and Astronautics, Nanjing, China;","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074398218","display_name":"Miao Yin","orcid":"https://orcid.org/0000-0002-5554-5417"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Miao Yin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Rutgers University, New Jersey, Piscataway, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Rutgers University, New Jersey, Piscataway, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073973267","display_name":"Gang Kou","orcid":"https://orcid.org/0000-0002-9220-8647"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Kou","raw_affiliation_strings":["School of Business Administration, Southwestern University of Finance and Economics, Chengdu, China;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business Administration, Southwestern University of Finance and Economics, Chengdu, China;","institution_ids":["https://openalex.org/I204831749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008392432"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":3.7842,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.93497665,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"72","issue":"6","first_page":"1432","last_page":"1446"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9998999834060669,"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/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9998999834060669,"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/T10841","display_name":"Economic and Environmental Valuation","score":0.9728999733924866,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9703999757766724,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/data-envelopment-analysis","display_name":"Data envelopment analysis","score":0.8975161910057068},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.7136138677597046},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5715979933738708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5344129800796509},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5050914883613586},{"id":"https://openalex.org/keywords/efficiency","display_name":"Efficiency","score":0.48238125443458557},{"id":"https://openalex.org/keywords/cost-efficiency","display_name":"Cost efficiency","score":0.47481000423431396},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.4529508650302887},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3338271975517273},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32993757724761963},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2815763056278229},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09206792712211609}],"concepts":[{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.8975161910057068},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7136138677597046},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5715979933738708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5344129800796509},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5050914883613586},{"id":"https://openalex.org/C17648541","wikidata":"https://www.wikidata.org/wiki/Q2265984","display_name":"Efficiency","level":3,"score":0.48238125443458557},{"id":"https://openalex.org/C11644782","wikidata":"https://www.wikidata.org/wiki/Q15401790","display_name":"Cost efficiency","level":2,"score":0.47481000423431396},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.4529508650302887},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3338271975517273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32993757724761963},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2815763056278229},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09206792712211609},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/01605682.2020.1718561","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2020.1718561","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tjorxx:v:72:y:2021:i:6:p:1432-1446","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/01605682.2020.1718561","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W146706758","https://openalex.org/W1805897029","https://openalex.org/W1971423254","https://openalex.org/W1995681939","https://openalex.org/W2011894640","https://openalex.org/W2017856622","https://openalex.org/W2019754423","https://openalex.org/W2026626290","https://openalex.org/W2032765916","https://openalex.org/W2037634556","https://openalex.org/W2056721053","https://openalex.org/W2064356889","https://openalex.org/W2065577313","https://openalex.org/W2074620549","https://openalex.org/W2076452041","https://openalex.org/W2081284485","https://openalex.org/W2090370952","https://openalex.org/W2129763896","https://openalex.org/W2153400179","https://openalex.org/W2212156932","https://openalex.org/W2314263491","https://openalex.org/W2342177617","https://openalex.org/W2586448866","https://openalex.org/W2607027700","https://openalex.org/W2607050953","https://openalex.org/W2747346619","https://openalex.org/W2748595553","https://openalex.org/W2768790480","https://openalex.org/W2771083040","https://openalex.org/W2773715120","https://openalex.org/W2789880973","https://openalex.org/W2790044040","https://openalex.org/W2801147264","https://openalex.org/W2801170431","https://openalex.org/W2804272110","https://openalex.org/W2897673680","https://openalex.org/W2912390004","https://openalex.org/W2921935624","https://openalex.org/W2939765328","https://openalex.org/W2947010497","https://openalex.org/W2953942102","https://openalex.org/W2974966258","https://openalex.org/W2983732260","https://openalex.org/W2990620411","https://openalex.org/W3123155524"],"related_works":["https://openalex.org/W2035423388","https://openalex.org/W312923485","https://openalex.org/W2041365066","https://openalex.org/W2120745168","https://openalex.org/W2169049974","https://openalex.org/W2043018577","https://openalex.org/W2354788275","https://openalex.org/W2154914552","https://openalex.org/W2362969283","https://openalex.org/W2347574954"],"abstract_inverted_index":{"Fixed":[0],"cost":[1,92,146],"allocation":[2,147,196],"(FCA)":[3],"is":[4,55,61,71,214],"one":[5,137,157],"of":[6,11,35,47,156,166,181,187],"the":[7,12,25,28,58,67,73,90,105,135,139,152,179,182,188,194,204,211,229],"most":[8],"important":[9],"applications":[10],"data":[13],"envelopment":[14],"analysis":[15],"(DEA).":[16],"Numerous":[17],"studies":[18],"on":[19,39,51,99,178],"this":[20,78,80,103],"problem":[21],"have":[22],"appeared":[23],"in":[24,27],"literature":[26,223],"last":[29],"two":[30],"decades;":[31],"however,":[32],"almost":[33],"all":[34,208],"them":[36],"are":[37,109,144],"based":[38,98,177],"either":[40],"efficiency":[41,44,52,59,69,100,106,154],"invariance":[42],"or":[43],"maximization,":[45],"both":[46],"which":[48],"focus":[49],"mainly":[50],"scores.":[53],"It":[54],"notable":[56],"that":[57,124,149],"score":[60],"more":[62],"an":[63,199,225],"intermediate":[64],"indicator":[65],"and":[66,116,142,184,224,236],"corresponding":[68],"ranking":[70,107,155],"actually":[72],"main":[74],"focus.":[75],"Motivated":[76],"by":[77,112],"observation,":[79],"paper":[81],"aims":[82],"to":[83,138,202,216,232],"propose":[84],"a":[85,164,172,217],"new":[86,173],"approach":[87,213],"for":[88,158],"allocating":[89],"fixed":[91,145],"across":[93,207],"decision":[94],"making":[95],"units":[96],"(DMUs)":[97],"ranking.":[101],"To":[102],"end,":[104],"intervals":[108],"explicitly":[110],"determined":[111],"taking":[113],"allocated":[114,189],"costs":[115],"feasible":[117],"weights":[118],"into":[119],"account.":[120],"The":[121],"results":[122],"indicate":[123],"each":[125,159],"DMU":[126,161],"can":[127,150],"be":[128],"ranked":[129],"at":[130],"any":[131],"position":[132],"ranging":[133],"from":[134,221,228],"best":[136,153],"worst":[140],"n,":[141],"there":[143],"schemes":[148],"determine":[151],"individual":[160],"simultaneously":[162],"under":[163],"set":[165],"common":[167],"weights.":[168],"Furthermore,":[169],"we":[170,192],"define":[171],"comprehensive":[174],"satisfaction":[175,205],"degree":[176,206],"interval":[180],"upper":[183],"lower":[185],"bounds":[186],"costs.":[190],"Then,":[191],"generate":[193],"final":[195],"scheme":[197],"using":[198],"iterative":[200],"procedure":[201],"maximize":[203],"DMUs.":[209],"Finally,":[210],"proposed":[212],"applied":[215],"classic":[218],"numerical":[219],"example":[220],"prior":[222],"empirical":[226],"study":[227],"real":[230],"world":[231],"illustrate":[233],"its":[234],"usefulness":[235],"efficacy.":[237]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":13}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}