{"id":"https://openalex.org/W7204759001","doi":"https://doi.org/10.1080/01605682.2026.2723362","title":"A scalable and high-accuracy computational framework for non-convex additive two-stage network data envelopment analysis in big data environments","display_name":"A scalable and high-accuracy computational framework for non-convex additive two-stage network data envelopment analysis in big data environments","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204759001","doi":"https://doi.org/10.1080/01605682.2026.2723362"},"language":"en","primary_location":{"id":"doi:10.1080/01605682.2026.2723362","doi":"https://doi.org/10.1080/01605682.2026.2723362","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2026.2723362","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,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","erih-plus","fnege-2","jufo-2","norway-1","poland-70","russia-white-list-1","vabb-shw"],"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"},"parent_works":[],"lineage":["https://openalex.org/W7204759001"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2139/ssrn.5495922","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003586548","display_name":"Yuqi Wei","orcid":"https://orcid.org/0009-0004-8680-9886","observed_orcids":["https://orcid.org/0009-0004-8680-9886"]},"institutions":[{"id":"https://openalex.org/I206777745","display_name":"Nanjing Audit University","ror":"https://ror.org/04zj2bd87","country_code":"CN","type":"education","lineage":["https://openalex.org/I206777745"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuqi Wei","raw_affiliation_strings":["Nanjing Audit University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing Audit University","institution_ids":["https://openalex.org/I206777745"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014810823","display_name":"Min Yang","orcid":"https://orcid.org/0000-0002-8513-7852","observed_orcids":["https://orcid.org/0000-0002-8513-7852","https://orcid.org/0009-0008-1727-3407"]},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Min Yang","raw_affiliation_strings":["Hefei University of Technology","Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hefei University of Technology","institution_ids":["https://openalex.org/I16365422"]},{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100417207","display_name":"Yu Yu","orcid":"https://orcid.org/0000-0001-6975-8205","observed_orcids":["https://orcid.org/0000-0001-6975-8205"]},"institutions":[{"id":"https://openalex.org/I206777745","display_name":"Nanjing Audit University","ror":"https://ror.org/04zj2bd87","country_code":"CN","type":"education","lineage":["https://openalex.org/I206777745"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Yu","raw_affiliation_strings":["Nanjing Audit University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing Audit University","institution_ids":["https://openalex.org/I206777745"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5126037953","display_name":"Liang Liang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Liang","raw_affiliation_strings":["Hefei University of Technology","Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hefei University of Technology","institution_ids":["https://openalex.org/I16365422"]},{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014810823"],"corresponding_institution_ids":["https://openalex.org/I16365422"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9990000128746033,"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":0.9990000128746033,"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":0.0003000000142492354,"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/T10050","display_name":"Multi-Criteria Decision Making","score":9.999999747378752e-05,"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/network-data-envelopment-analysis","display_name":"network data envelopment analysis","score":0.8579999804496765},{"id":"https://openalex.org/keywords/nonconvex-optimization","display_name":"non-convex optimization","score":0.9120000004768372},{"id":"https://openalex.org/keywords/big-data","display_name":"big data","score":0.6549999713897705},{"id":"https://openalex.org/keywords/overall-efficiency","display_name":"overall efficiency","score":0.8899999856948853},{"id":"https://openalex.org/keywords/hierarchical-decomposition","display_name":"hierarchical decomposition","score":0.7620000243186951},{"id":"https://openalex.org/keywords/computational-scalability","display_name":"computational scalability","score":0.902999997138977},{"id":"https://openalex.org/keywords/performance-evaluation","display_name":"performance evaluation","score":0.7480000257492065}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7242000102996826},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.699400007724762},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6784999966621399},{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.6384000182151794},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.6201000213623047},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5430999994277954},{"id":"https://openalex.org/C75684735","wikidata":"https://www.wikidata.org/wiki/Q858810","display_name":"Big data","level":2,"score":0.5205000042915344},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4661000072956085},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4648999869823456},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4593000113964081},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4560000002384186},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.4472000002861023},{"id":"https://openalex.org/C10551718","wikidata":"https://www.wikidata.org/wiki/Q5227332","display_name":"Data pre-processing","level":2,"score":0.382099986076355},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.36070001125335693},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C51485801","wikidata":"https://www.wikidata.org/wiki/Q16966861","display_name":"Efficient frontier","level":3,"score":0.33980000019073486},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.3118000030517578},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.29649999737739563},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2581000030040741}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/01605682.2026.2723362","doi":"https://doi.org/10.1080/01605682.2026.2723362","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2026.2723362","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,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","erih-plus","fnege-2","jufo-2","norway-1","poland-70","russia-white-list-1","vabb-shw"],"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":"doi:10.2139/ssrn.5495922","doi":"https://doi.org/10.2139/ssrn.5495922","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5495922","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.5495922","doi":"https://doi.org/10.2139/ssrn.5495922","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5495922","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1821185812","display_name":null,"funder_award_id":"72371092","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1838594565","display_name":null,"funder_award_id":"72171122","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8197207165","display_name":null,"funder_award_id":"72201130","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8480155402","display_name":null,"funder_award_id":"72188101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W345940853","https://openalex.org/W630103685","https://openalex.org/W1984391506","https://openalex.org/W1985694389","https://openalex.org/W2010821230","https://openalex.org/W2034713829","https://openalex.org/W2037690395","https://openalex.org/W2076452041","https://openalex.org/W2095569416","https://openalex.org/W2107650959","https://openalex.org/W2111198379","https://openalex.org/W2122672261","https://openalex.org/W2156577211","https://openalex.org/W2296319761","https://openalex.org/W2604153643","https://openalex.org/W2737036614","https://openalex.org/W2899304741","https://openalex.org/W2960490086","https://openalex.org/W3013123292","https://openalex.org/W3034419191","https://openalex.org/W3113216837","https://openalex.org/W3174457140","https://openalex.org/W4226287711","https://openalex.org/W4319989303","https://openalex.org/W4320727235","https://openalex.org/W4321793563","https://openalex.org/W4399696752","https://openalex.org/W4405653449","https://openalex.org/W4412799125","https://openalex.org/W4415059786","https://openalex.org/W7108597296","https://openalex.org/W7124460493","https://openalex.org/W7127131430","https://openalex.org/W7127194234","https://openalex.org/W7128198759","https://openalex.org/W7135225153"],"related_works":["https://openalex.org/W2913997370","https://openalex.org/W2897396416","https://openalex.org/W7125629109","https://openalex.org/W135685935","https://openalex.org/W2604153643","https://openalex.org/W2622078435","https://openalex.org/W2491601315","https://openalex.org/W3020095921","https://openalex.org/W2737036614"],"abstract_inverted_index":{"Owing":[0],"to":[1,87],"the":[2,11,30,35,52,92,111,132,140,148],"significantly":[3],"nonlinear":[4],"and":[5,19,34,58,61,96,124,159,171],"non-convex":[6,121,142],"objective":[7],"function":[8],"inherent":[9],"in":[10,26,176],"additive":[12],"two-stage":[13,181],"network":[14,82,182],"DEA":[15],"model,":[16],"obtaining":[17],"high-accuracy":[18],"computationally":[20],"efficient":[21],"solutions":[22],"remains":[23,153],"challenging,":[24],"particularly":[25],"large-scale":[27],"settings":[28],"where":[29],"number":[31,149],"of":[32,51,108,150],"DMUs":[33,109,151],"associated":[36],"benchmark":[37,89],"constraints":[38,90],"increase":[39],"substantially.":[40],"To":[41],"mitigate":[42],"these":[43],"challenges,":[44],"this":[45,78],"study":[46,79],"conducts":[47],"a":[48,63,81,115,119,125],"detailed":[49],"analysis":[50],"functional":[53],"relationship":[54],"between":[55],"sub-stage":[56],"efficiencies":[57],"overall":[59],"efficiency,":[60],"develops":[62],"shadow-price":[64],"interval-assisted":[65],"extreme":[66],"point":[67],"search":[68],"method":[69],"for":[70,174],"identifying":[71],"candidate":[72],"frontier":[73],"segments":[74],"more":[75],"efficiently.":[76],"Furthermore,":[77],"introduces":[80],"hierarchical":[83],"decomposition":[84],"preprocessing":[85],"procedure":[86],"screen":[88],"satisfying":[91],"stated":[93],"redundancy":[94],"conditions":[95],"improve":[97],"computational":[98],"scalability.":[99],"Numerical":[100],"experiments":[101],"on":[102],"synthetic":[103],"instances":[104],"with":[105,114,139],"increasing":[106],"numbers":[107],"compare":[110],"proposed":[112,133],"framework":[113,134],"traditional":[116],"heuristic":[117],"method,":[118],"Gurobi-based":[120,141],"numerical":[122,137],"reference,":[123,143],"McCormick-linearisation-based":[126],"comparator.":[127],"The":[128],"results":[129],"show":[130],"that":[131],"achieves":[135],"high":[136],"consistency":[138],"improves":[144],"runtime":[145],"performance":[146,177],"as":[147],"increases,":[152],"stable":[154],"under":[155],"different":[156],"parameter":[157],"settings,":[158],"supports":[160],"rapid":[161],"re-optimisation":[162],"when":[163],"stage-weight":[164],"preferences":[165],"change.":[166],"These":[167],"findings":[168],"provide":[169],"flexible":[170],"scalable":[172],"support":[173],"decision-makers":[175],"evaluation":[178],"problems":[179],"involving":[180],"structures.":[183]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2026-09-01T00:00:00"}
