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Restructuring evaluation using generalized inverse DEA-R frameworks

  • Saeid Ghobadi [1] ; Ehsan Zanboori [1] ; Khosro Soleimani-Chamkhorami [1] ; Mohammadreza Mahmoudi [2]
    1. [1] Islamic Azad University, Khomeinishahr, Iran
    2. [2] Fasa University, Fasa, Iran
  • Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 34, Nº. 1, 2026, págs. 136-154
  • Idioma: inglés
  • DOI: 10.1007/s11750-025-00705-2
  • Enlaces
  • Resumen

    • Generalized restructuring refers to an action in a commercial environment where a homogeneous set of units is restructured to form a new set of units in the same environment to achieve specific performance goals. Inverse Data Envelopment Analysis (InvDEA) is a useful analytical tool, based on multi-objective mathematical programming, for estimating the required levels of input/output to meet given efficiency targets. This paper develops a new InvDEA-based methodology using data in ratio form, referred to as InvDEA-R, for modeling generalized restructuring. The key advantages of the proposed models are: (i) Maintaining data confidentiality, which can encourage managers to participate in efficiency improvement through restructuring; (ii) Incorporating not only pure input and output data but also their ratios in the restructuring process, which enhances the discrimination power of the analysis and provides a reasonable endogenous weight restriction framework for incorporating expert opinion in the restructuring process. Additionally, this paper presents a DEA-R estimator model to determine the minimum efficiency targets that post-restructuring units can achieve. The developed restructuring theory is demonstrated through an application in the banking sector.

  • Referencias bibliográficas
    • Akbarian D (2021) Network DEA based on DEA-ratio. Financ Innov 7(1):1–26
    • Al-Shammari M et al (2013) Optimizing bank branch locations using mathematical programming models. Int J Bank Market 31(2):90–106
    • Amin GR, Al-Muharrami S (2018) A new inverse data envelopment analysis model for mergers with negative data. IMA J Manag Math 29:137–149
    • Amin GR, Boamah MI (2021) A two-stage inverse data envelopment analysis approach for estimating potential merger gains in the US banking sector....
    • Amin GR, Emrouznejad A, Gattoufi S (2017a) Minor and major consolidations in inverse DEA: definition and determination. Comput Ind Eng 103:193–200
    • Amin GR, Emrouznejad A, Gattoufi S (2017b) Modelling generalized firms’ restructuring using inverse dea. J Prod Anal 48:51–61
    • Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res 2:429–444
    • Cook WD, Seiford LM (2009) Data envelopment analysis (DEA)-thirty years on. Eur J Oper Res 192:1–17
    • Despi O, Despi M, Paradi J (2007) DEA-R: ratio-based comparative efficiency model, its mathematical relation to DEA and its use in applications....
    • Dong Joon L (2016) Inverse DEA with frontier changes for new target setting. Eur J Oper Res 254:510–516
    • Ehrgott M (2005) Multicriteria optimization. Springer, Berlin
    • Emrouznejad A, Yang G (2018) A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016. J Socio-Econ Plan Sci...
    • Emrouznejad A, Parker B, Tavares G (2008) Evaluation of research in efficiency and productivity: a survey and analysis of the first 30 years...
    • Emrouznejad A et al (2023) A review of inverse data envelopment analysis: origins, development, and future directions. IMA J Manag Math 34:006
    • Gattoufi S, Amin GR, Emrouznejad A (2014) A new inverse DEA method for merging banks. IMA J Manag Math 25:73–87
    • Gerami J, KianiMavi R, FarzipoorSaen R, KianiMavi N (2020) A novel network DEA-R model for evaluating hospital services supply chain performance....
    • Gerami J, Mozaffari MR, Wanke PF, Correa HL (2021a) A generalized inverse dea model for firm restructuring based on value efficiency. IMA...
    • Gerami J, Mozaffari MR, Wanke PF, Correa H (2021b) A novel slacks-based model for efficiency and super-efficiency in DEA-R. Oper Res. https://doi.org/10.1007/s12351-021-00679-6
    • Ghiyasi M, Soltanifar M, Sharafi H (2022) A novel inverse DEA-R model with application in hospital efficiency. Socio-Econ Plann Sci 84:101427
    • Ghobadi S (2019) A generalized DEA model for inputs (outputs) estimation under inter-temporal dependence. RAIRO-Oper Res 53(5):1791–1805
    • Ghobadi S (2021) Merging decision-making units with interval data. RAIRO-Oper Res 55:1605–1630 Hadi-Vencheh A, Foroughi AA, Soleimani-Damaneh...
    • Hatami-Marbini A, Toloo M (2019) Data envelopment analysis models with ratio data: a revisit. Comput Ind Eng 133:331–338
    • Jahanshahloo GR, Soleimani-Damaneh M, Ghobadi S (2015) Inverse DEA under inter-temporal dependence using multiple-objective programming. Eur...
    • Lertworasirikul S, Charnsethikul P, Fang SC (2011) Inverse data envelopment analysis model to preserve relative efficiency values: the case...
    • Lin HT (2010) An efficiency-driven approach for setting revenue target. Decis Support Syst 49:311–317
    • Liu WB, Zhang DQ, Meng W, Li XX, Xu F (2011) A study of DEA models without explicit inputs. Omega 39(5):472–480
    • Mahla D, Agarwal S, Amin GR, Mathur T (2022) An inverse data envelopment analysis model to consider ratio data and preferences of decision-makers....
    • Meidan A, Mansori S (2009) The impact of bank branch closure on service and profitability. J Financ Serv Mark 14(3):234–248
    • Mozaffari MR, Gerami J, Jablonsky J (2014) Relationship between DEA models without explicit inputs and DEA-R models. Cent Eur J Oper Res 22:1–12
    • Mozaffari MR, Dadkhah F, Jablonsky J, Wanke PF (2020) Finding efficient surfaces in DEA-R models. Appl Math Comput. https://doi.org/10.1016/j.amc.2020.125497
    • Mozaffari MR, Ostovan S, Wanke PF, Tan Y (2022) Evaluation of multi-stage fuzzy networks in DEA and DEA-r based on liquidity ratios with undesirable...
    • Olesen OB, Petersen NC, Podinovski VV (2015) Efficiency analysis with ratio measures. Eur J Oper Res 245(2):446–462
    • Olesen OB, Petersen NC, Podinovski VV (2017) Efficiency measures and computational approaches for data envelopment analysis models with ratio...
    • Paradi JC, Zhu H (2013) A survey on bank branch efficiency and performance research with data envelopment analysis. Omega 41(1):61–79
    • Sanei M, Reza-Mozaffari M, Mirzaiyan M (2019) Evaluation of financial ratios in DEA-R model with production trade-offs and weight restrictions....
    • Sohrabi A, Gerami J, Mozaffari MR (2021) A novel inverse DEA-R model for inputs/output estimation. Journal of Mathematical Extension 16:1–34
    • Soltanifar M, Ghiyasi M, Sharafi H (2023) Inverse DEA-r models for merger analysis with negative data. IMA J Manage Math 34(3):491–510
    • Soltanifar M, Tavana M, Charles V, Ghiyasi M, Sharafi H (2025) A novel inverse data envelopment analysis model with negative ratio data. Oper...
    • Tavana M, Khalili-Damghani K, Rahpeyma B (2015) A fuzzy group dea approach to banking performance assessment. Expert Syst Appl 42(21):7655–7667
    • Wei QL, Zhang JZ, Zhang XS (2000) An inverse dea model for inputs/outputs estimate. Eur J Oper Res 121(1):151–163
    • Wei C-K, Chen L-C, Li R-K, Tsai C-H (2011a) Exploration of efficiency underestimation of CCR model: based on medical sectors with DEA-R model....
    • Wei C-K, Chen L-C, Li RK, Tsai C-H (2011b) A study of developing an input-oriented ratio-based comparative efficiency model. Expert Syst Appl...
    • Wei C-K, Chen L-C, Li R-K, Tsai C-H (2011c) Using the dea-r model in the hospital industry to study the pseudo-inefficiency problem. Expert...
    • Xu H, Ko J (2019) Branch consolidation in banking: efficiency vs. outreach. Eur J Oper Res 274(1):196–208
    • Zanboori E (2025) A modified slacks-based measure of efficiency and super-efficiency under zero and negative data. Soft Comput. https://doi.org/10.1007/s00500-025-10566-3
    • Zanboori E, Ghobadi S (2022) Ranking decision-making units using interval data envelopment analysis: extension and application. Int J Inf...
    • Zenodin E, Ghobadi S (2020) Merging decision-making units under inter-temporal dependence. IMA J Manag Math 31(2):139–216
    • Zhang X, Cui J (1999) A project evaluation system in the state economic information system of China: an operation research practice in public...
    • Zhao T, Wang X (2016) An evaluation of bank performance using a DEA-R model with ratio data. Int J Financ Stud 4(3):12
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