{"id":"https://openalex.org/W3158491176","doi":"https://doi.org/10.1051/ro/2021069","title":"New inverse DEA models for budgeting and planning","display_name":"New inverse DEA models for budgeting and planning","publication_year":2021,"publication_date":"2021-04-22","ids":{"openalex":"https://openalex.org/W3158491176","doi":"https://doi.org/10.1051/ro/2021069","mag":"3158491176"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2021069","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021069","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/04/ro200492.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/04/ro200492.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081915641","display_name":"Tahere Sayar","orcid":null},"institutions":[{"id":"https://openalex.org/I176861719","display_name":"University of Shahrood","ror":"https://ror.org/00yqvtm78","country_code":"IR","type":"education","lineage":["https://openalex.org/I176861719"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Tahere Sayar","raw_affiliation_strings":["Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran","institution_ids":["https://openalex.org/I176861719"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070722690","display_name":"Mojtaba Ghiyasi","orcid":null},"institutions":[{"id":"https://openalex.org/I176861719","display_name":"University of Shahrood","ror":"https://ror.org/00yqvtm78","country_code":"IR","type":"education","lineage":["https://openalex.org/I176861719"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mojtaba Ghiyasi","raw_affiliation_strings":["Faculty of Industrial Engineering and Management Sciences, Shahrood University of Technology, Shahrood, Iran"],"raw_orcid":"https://orcid.org/0000-0002-9681-4177","affiliations":[{"raw_affiliation_string":"Faculty of Industrial Engineering and Management Sciences, Shahrood University of Technology, Shahrood, Iran","institution_ids":["https://openalex.org/I176861719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076760215","display_name":"Jafar Fathali","orcid":"https://orcid.org/0000-0003-1397-8529"},"institutions":[{"id":"https://openalex.org/I176861719","display_name":"University of Shahrood","ror":"https://ror.org/00yqvtm78","country_code":"IR","type":"education","lineage":["https://openalex.org/I176861719"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Jafar Fathali","raw_affiliation_strings":["Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran","institution_ids":["https://openalex.org/I176861719"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081915641"],"corresponding_institution_ids":["https://openalex.org/I176861719"],"apc_list":null,"apc_paid":null,"fwci":3.2238,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.91793957,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"55","issue":"3","first_page":"1933","last_page":"1948"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9995999932289124,"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":0.9995999932289124,"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":0.8271393775939941},{"id":"https://openalex.org/keywords/budget-constraint","display_name":"Budget constraint","score":0.5780897736549377},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.567567765712738},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5143660306930542},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.5116403698921204},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.493887722492218},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.4926970303058624},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48914578557014465},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47318482398986816},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.45762595534324646},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4558372497558594},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4181227684020996},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3276596963405609},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.3164488971233368},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21885323524475098}],"concepts":[{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.8271393775939941},{"id":"https://openalex.org/C8505890","wikidata":"https://www.wikidata.org/wiki/Q605095","display_name":"Budget constraint","level":2,"score":0.5780897736549377},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.567567765712738},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5143660306930542},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.5116403698921204},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.493887722492218},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4926970303058624},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48914578557014465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47318482398986816},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.45762595534324646},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4558372497558594},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4181227684020996},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3276596963405609},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3164488971233368},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21885323524475098},{"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/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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2021069","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021069","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/04/ro200492.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2021069","is_oa":true,"landing_page_url":null,"pdf_url":"https://www.rairo-ro.org/10.1051/ro/2021069/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2021069","raw_type":"Text"},{"id":"pmh:oai:numdam.org:RO_2021__55_3_1933_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2021069/","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":{"id":"doi:10.1051/ro/2021069","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021069","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/04/ro200492.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3158491176.pdf","grobid_xml":"https://content.openalex.org/works/W3158491176.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1963948608","https://openalex.org/W1980021274","https://openalex.org/W1983026020","https://openalex.org/W1998959021","https://openalex.org/W2002023758","https://openalex.org/W2037483266","https://openalex.org/W2042221267","https://openalex.org/W2048087660","https://openalex.org/W2050605678","https://openalex.org/W2057432202","https://openalex.org/W2071304623","https://openalex.org/W2076452041","https://openalex.org/W2091449638","https://openalex.org/W2093513111","https://openalex.org/W2102545220","https://openalex.org/W2113991652","https://openalex.org/W2116082110","https://openalex.org/W2550569192","https://openalex.org/W2551759263","https://openalex.org/W2552751510","https://openalex.org/W2769973204","https://openalex.org/W2778075833","https://openalex.org/W2896067059","https://openalex.org/W2900325804","https://openalex.org/W3007392423","https://openalex.org/W3016931049","https://openalex.org/W3034123046"],"related_works":["https://openalex.org/W83893804","https://openalex.org/W2178649091","https://openalex.org/W2353238953","https://openalex.org/W30906829","https://openalex.org/W2496037054","https://openalex.org/W2024895661","https://openalex.org/W2390883384","https://openalex.org/W1862027024","https://openalex.org/W2054108430","https://openalex.org/W3123594720"],"abstract_inverted_index":{"Data":[0],"envelopment":[1],"analysis":[2,123],"(DEA)":[3],"measures":[4],"the":[5,24,29,41,52,70,97,110,117,121,129,142],"efficiency":[6,43,122],"score":[7],"of":[8,11,38,51,100,124,147],"a":[9,35,48],"set":[10],"homogeneous":[12],"decision-making":[13],"units":[14],"(DMUs)":[15],"based":[16],"on":[17],"observed":[18],"input":[19,31,75,102],"and":[20,60,64,76,103,137,144,154],"output.":[21],"Considering":[22],"input-oriented,":[23],"inverse":[25,53,72],"DEA":[26,54],"models":[27,83,91],"find":[28,96],"required":[30,98],"level":[32],"for":[33],"producing":[34],"given":[36],"amount":[37],"production":[39,149],"in":[40,81,120,141],"current":[42],"level.":[44],"This":[45],"article":[46],"proposes":[47],"new":[49],"form":[50],"model":[55,119],"considering":[56],"income":[57,86,106,111],"(for":[58,62],"planning)":[59],"budget":[61,113],"finance":[63],"budgeting)":[65],"constraints.":[66,89],"In":[67],"contrast":[68],"with":[69],"classical":[71],"model,":[73],"both":[74],"output":[77],"levels":[78],"are":[79,135],"variable":[80],"proposed":[82,118],"to":[84,95,108,128],"meet":[85,109],"(or":[87],"budget)":[88],"Proposed":[90],"help":[92],"decision-makers":[93],"(DMs)":[94],"value":[99],"each":[101,104],"output\u2019s":[105],"share":[107],"or":[112],"constraint.":[114],"We":[115],"apply":[116],"58":[125],"supermarkets":[126],"belonging":[127],"same":[130],"chain.":[131],"However,":[132],"these":[133],"methods":[134],"general":[136],"can":[138],"be":[139],"used":[140],"budgeting":[143],"planning":[145],"process":[146],"any":[148],"system,":[150],"including":[151],"business":[152],"sectors":[153],"firms":[155],"that":[156],"provide":[157],"services.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
