Evaluating directional scale elasticity in the RAM model with undesirable outputs: an application in the horticultural industry

Open Access

Issue		RAIRO-Oper. Res. Volume 58, Number 6, November-December 2024


Page(s)		5551 - 5574
DOI		https://doi.org/10.1051/ro/2024214
Published online		24 December 2024

A. Amirteimoori, B.K. Sahoo and S. Mehdizadeh, Data envelopment analysis for scale elasticity measurement in the stochastic case: with an application to Indian Banking. Finan. Innov. 9 (2023) 31. [CrossRef] [Google Scholar]
B.T. Anang, Assessing technical and scale efficiency of groundnut production in Tolon district of northern Ghana: a nonparametric approach. J. Agric. Food Res. 4 (2021) 100149. [Google Scholar]
J. Aparicio and J.F Monge, The generalized range adjusted measure in data envelopment analysis: properties, computational aspects and duality. Eur. J. Oper. Res. 302 (2022) 621–632. [CrossRef] [Google Scholar]
K.B. Atici and V.V. Podinovski, Mixed partial elasticities in constant returns-to-scale production technologies. Eur. J. Oper. Res. 220 (2012) 262–269. [CrossRef] [Google Scholar]
B.M. Balk, R. F¨are and G. Karagiannis, On directional scale elasticities. J. Prod. Anal. 43 (2015) 99–104. [CrossRef] [Google Scholar]
R.D. Banker, A. Charnes and W.W. Cooper, Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manage. Sci. 30 (1984) 1078–1092. [Google Scholar]
K.H. Chen, Y.C. Chiu and C.H. Yang, Exploring the productivity growth of higher education institutions in Taiwan: a dynamic network DEA approach. Appl. Econ. 52 (2020) 3363–3378. [Google Scholar]
Y.H. Chung, R. F¨are and S. Grosskopf, Productivity and undesirable outputs: a directional distance function approach. J. Environ. Manage. 51 (1997) 229–240. [CrossRef] [Google Scholar]
W.W. Cooper, K.S. Park and J.T. Pastor, RAM: a range adjusted measure of efficiency. J. Prod. Anal. 11 (2000) 5–42. [Google Scholar]
W.W. Cooper, J.T. Pastor, F. Borras, J. Aparicio and D. Pastor, BAM: a bounded adjusted measure of efficiency for use with bounded additive models. J. Prod. Anal. 35 (2011) 85–94. [CrossRef] [Google Scholar]
Q. Cui and L.T. Yu, Airline environmental efficiency comparison through two non-separable inputs disposability Range Adjusted Measure models. J. Clean. Prod. 320 (2021) 128844. [CrossRef] [Google Scholar]
A. Emrouznejad and G. Yang, A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016. Soc.-Econ. Planning Sci. 61 (2018) 4–8. [CrossRef] [Google Scholar]
A. Emrouznejad, G. Yang and G.R. Amin, A novel inverse DEA model with application to allocate the CO₂ emissions quota to different regions in Chinese manufacturing industries. J. Oper. Res. Soc. 70 (2019) 1079–1090. [CrossRef] [Google Scholar]
A. Emrouznejad, M. Marra and M. Michali, Eco-efficiency considering NetZero and data envelopment analysis: a critical literature review. IMA J. Manage. Math. 34 (2023) 599-632. [Google Scholar]
M. Fan, S. Shao and L. Yang, Combining global Malmquist–Luenberger index and generalized method of moments to investigate industrial total factor CO₂ emission performance: a case of Shanghai (China). Energy Policy 79 (2015) 189–201. [CrossRef] [Google Scholar]
R. F¨are and S. Grosskopf, Nonparametric productivity analysis with undesirable outputs: comment. Am. J. Agric. Econ. 85 (2003) 1070–1074. [CrossRef] [Google Scholar]
R. F¨are, S. Grosskopf and C. Lovell, Production Frontiers. Cambridge University Press, Cambridge (1993). [CrossRef] [Google Scholar]
F.R. Forsund, On the calculation of scale elasticity in DEA models. J. Prod. Anal. 7 (1996) 283–302. [CrossRef] [Google Scholar]
F.R. Forsund and L. Hjalmarsson, Calculation of scale elasticities in DEA models: direct and indirect approach. J. Prod. Anal. 28 (2007) 45–56. [CrossRef] [Google Scholar]
M. Goto and T. Sueyoshi, Measurement of returns to scale and damages to scale for DEA-based operational and environmental assessment: How to manage desirable (good) and undesirable (bad) outputs? Eur. J. Oper. Res. 211 (2011) 76–89. [CrossRef] [Google Scholar]
M. Goto and T. Sueyoshi, Returns to scale and damages to scale under natural and managerial disposability: strategy, efficiency and competitiveness of petroleum firms. Energy Econ. 34 (2012) 645–662. [CrossRef] [Google Scholar]
M. Goto and T. Sueyoshi, Weak and strong disposability vs. natural and managerial disposability in DEA environmental assessment: comparison between Japanese electric power industry and manufacturing industries. Energy Econ. 34 (2012) 686–699. [CrossRef] [Google Scholar]
A. Hailu and T.S. veeman, Non-parametric productivity analysis with undesirable outputs: an application to the Canadian pulp and paper industry. Am. J. Agric. Econ. 83 (2001) 605–616. [CrossRef] [Google Scholar]
N. Hatam, M. Jafari, B. Zohrevandi and A. Jafari, Healthcare performance evaluation using data envelopment analysis: a systematic review. Int. J. Health Planning Manage. 36 (2021) 1–25. [Google Scholar]
C. Heydari, H. Omrani and R. Taghizadeh, A fully fuzzy network DEA-Range Adjusted Measure model for evaluating airlines efficiency: a case of Iran. J. Air Transp. Manage. 89 (2020) 101923. [Google Scholar]
V.E. Krivonozhko, A.V. Dvorkovich, O.B. Utkin, I.D. Zharkov, M.V. Patrin and V. Lychev, Computation of elasticity and scale effect in technical efficiency analysis of complex systems. Comput. Math. Model. 18 (2007) 432–452. [CrossRef] [MathSciNet] [Google Scholar]
V.E. Krivonozhko, A.P. Afanasiev, F.R. Førsund and A.V. Lychev, Comparison of different methods for estimation of returns to scale in nonradial data envelopment analysis models. Autom. Remote Control 83 (2022) 1136–1148. [CrossRef] [MathSciNet] [Google Scholar]
T. Kuosmanen, Weak disposibility in nonparametric production analysis with undesirable outputs. Am. J. Agric. Econ. 87 (2005) 1077–1082. [CrossRef] [Google Scholar]
L.S. Kyrgiakos, G. Kleftodimos, G. Vlontzos and P.M. Pardalos, A systematic literature review of data envelopment analysis implementation in agriculture under the prism of sustainability. Oper. Res. Int. J. 23 (2023) 7. [CrossRef] [Google Scholar]
Y. Li and L. Liang, Efficiency evaluation of environmental protection enterprises based on the DEA model with undesirable outputs. J. Clean. Prod. 251 (2020) 119673. [CrossRef] [Google Scholar]
Y. Li, J. Liu and Z. Chen, An extended DEA model with the consideration of undesirable outputs for Chinese industrial pollution treatment. J. Clean. Prod. 185 (2018) 1–10. [CrossRef] [Google Scholar]
J.S. Liu, L.Y.Y. Lu, W.M. Luc and B.J.Y. Lind, A survey of DEA applications. Omega 41 (2013) 893–902. [CrossRef] [Google Scholar]
S. Lozano, B. Adenso-Díaz and Y. Barba-Gutiérrez, Russell non-radial eco-efficiency measure and scale elasticity of a sample of electric/electronic products. J. Franklin Inst. 348 (2011) 1605–1614. [CrossRef] [Google Scholar]
M. Mahboubi, S. Kordrostami, A. Amirteimoori and A. Ghane-Kanafi, Undesirable factors and marginal rates of substitution in Data Envelopment Analysis. Math. Sci. 16 (2022) 23–35. [CrossRef] [MathSciNet] [Google Scholar]
P. Milgrom and I. Segal, Envelope theorems for arbitrary choice sets. Econometrica 70 (2002) 583–601. [CrossRef] [MathSciNet] [Google Scholar]
M. Mirjaberi and R. Kazemi Matin, Computation of scale elasticity in presence of exogenously fixed inputs. Measurement 73 (2015) 275–283. [CrossRef] [Google Scholar]
M. Mirjaberi and R. Kazemi Matin, On the calculation of directional scale elasticity in data envelopment analysis. Asia-Pac. J. Oper. Res. 33 (2016) 1650026. [CrossRef] [MathSciNet] [Google Scholar]
M. Najari Alamuti, R. Kazemi Matin, M. Khounsiavash and Z. Moghadas, Performance evaluation of two-stage production systems with time-lag effects: an application in the horticulture industry. RAIRO-Oper. Res. 56 (2022) 1571–1591. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
H. Omrani, P. Fahimi and A. Emrouznejad, A common weight credibility data envelopment analysis model for evaluating decision making units with an application in airline performance. RAIRO-Oper. Res. 56 (2022) 911–930. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
G. Pérez-López, D. Prior and J.L. Zafra-Gómez, Temporal scale efficiency in DEA panel data estimations. An application to the solid waste disposal service in Spain. Omega 76 (2018) 18–27. [CrossRef] [Google Scholar]
V.V. Podinovski, Computation of efficient targets in DEA models with production trade-offs and weight restrictions. Eur. J. Oper. Res. 181 (2007) 586–591. [CrossRef] [Google Scholar]
V.V. Podinovski, Direct estimation of marginal characteristics of nonparametric production frontiers in the presence of undesirable outputs. Eur. J. Oper. Res. 279 (2019) 258–276. [CrossRef] [Google Scholar]
V.V. Podinovski and F.R. Forsund, Differential characteristics of efficient frontiers in DEA. INFORMS J. Comput. 22 (2010) 1743–1754. [Google Scholar]
V.V. Podinovski, F.R. Forsund and V.E. Krivonozhko, A simple derivation of scale elasticity in data envelopment analysis. Eur. J. Oper. Res. 197 (2009) 149–153. [CrossRef] [Google Scholar]
Y. Qi, J. Zhang, X. Chen, Y. Li, Y. Chang and D. Zhu, Effect of farmland cost on the scale efficiency of agricultural production based on farmland price deviation. Habitat Int. 132 (2023) 102745. [CrossRef] [Google Scholar]
T. Ren, Z. Zhou, R. Li and W. Liu, Directional scale elasticity considering the management preference of decision-makers. RAIRO-Oper. Res. 55 (2021) 2861–2881. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
W. Rödder, A. Dellnitz and S. Litzinger, Combining efficiency and scaling effects in activity analysis: towards an improved best practice criterion. RAIRO-Oper. Res. 56 (2022) 795–812. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
T. Sueyoshi and M. Goto, Returns to scale vs. damages to scale in data envelopment analysis: an impact of U.S. clean air act on coal-fired power plants. Omega 41 (2013) 164–175. [CrossRef] [Google Scholar]
T. Sueyoshi and K. Sekitani, Measurement of returns to scale using a non-radial DEA model: a range-adjusted measure approach. Eur. J. Oper. Res. 176 (2007) 1918–1946. [CrossRef] [Google Scholar]
K. Tone, A slack-based measure of efficiency in data envelopment analysis. Eur. J. Oper. Res. 130 (2001) 498–509. [CrossRef] [Google Scholar]
B. Walheer, Output, input and undesirable output interconnections in data envelopment analysis: convexity and returns-to-scale. Ann. Oper. Res. 284 (2020) 447–467. [CrossRef] [MathSciNet] [Google Scholar]
X. Wang, Y. Cheng, J. Sun and W. Huang, Integrated assessment of carbon dioxide emissions and economic efficiency in China’s manufacturing industry using a DEA-Malmquist index method. Energy Policy 148 (2021) 111994. [CrossRef] [Google Scholar]
V. Zelenyuk, A scale elasticity measure for directional distance function and its dual: theory and DEA estimation. Eur. J. Oper. Res. 228 (2013) 592–600. [CrossRef] [Google Scholar]

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