Input Efficiency Measures: A Generalized, Encompassing Formulation

References

• Aigner D, Chu S (1968) On estimating the industry production function. Amer. Econom. Rev. 58(4):826–839.Google Scholar
• Andriamasy L, Briec W, Mussard S (2017) On some relations between several generalized convex DEA models. Optimization 66(4):547–570.Crossref, Google Scholar
• Banker R, Maindiratta A (1986) Piecewise loglinear estimation of efficient production surfaces. Management Sci. 32(1):126–135.Link, Google Scholar
• Banker R, Charnes A, Cooper W (1984) Some models for estimating technical and scale inefficiencies in Data Envelopment Analysis. Management Sci. 30(9):1078–1092.Link, Google Scholar
• Ben-Tal A (1977) On generalized means and generalized convex functions. J. Optim. Theory Appl. 21(1):1–13.Crossref, Google Scholar
• Boussemart JP, Briec W, Peypoch N, Tavéra C (2009) α-returns to scale and multi-output production technologies. Eur. J. Oper. Res. 197(1):332–339.Crossref, Google Scholar
• Briec W (2000) An extended Färe-Lovell technical efficiency measure. Internat. J. Production Econom. 65(2):191–199.Crossref, Google Scholar
• Briec W, Horvath C (2009) A B-convex production model for evaluating performance of firms. J. Math. Anal. Appl. 355(1):131–144.Crossref, Google Scholar
• Briec W, Liang Q (2011) On some semilattice structures for production technologies. Eur. J. Oper. Res. 215(3):740–749.Google Scholar
• Briec W, Cavaignac L, Kerstens K (2011) Directional measurement of technical efficiency of production: An axiomatic approach. Econom. Model. 28(3):775–781.Crossref, Google Scholar
• Briec W, Kerstens K, Van de Woestyne I (2018) Hypercongestion in production correspondences: An empirical exploration. Appl. Econom. 50(27):2938–2956.Crossref, Google Scholar
• Charnes A, Cooper W, Rhodes E (1978) Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2(6):429–444.Crossref, Google Scholar
• Charnes A, Cooper W, Seiford L, Stutz J (1982) A multiplicative model for efficiency analysis. Socio-Econom. Planning Sci. 16(5):223–224.Crossref, Google Scholar
• Chavas JP, Cox T (1999) A generalized distance function and the analysis of production efficiency. Southern Econom. J. 66(2):294–318.Crossref, Google Scholar
• Debreu G (1951) The coefficient of resource utilization. Econometrica 19(3):273–292.Crossref, Google Scholar
• Färe R (1975) Efficiency and the production function. Zeitschrift für Nationalökonomie 35(3–4):317–324.Crossref, Google Scholar
• Färe R, Lovell C (1978) Measuring the technical efficiency of production. J. Econom. Theory 19(1):150–162.Crossref, Google Scholar
• Färe R, Grosskopf S, Lovell C (1985) The Measurement of Efficiency of Production (Kluwer, Boston).Crossref, Google Scholar
• Färe R, Grosskopf S, Njinkeu D (1988) On piecewise reference technologies. Management Sci. 34(12):1507–1511.Link, Google Scholar
• Färe R, Lovell C, Zieschang K (1983) Measuring the technical efficiency of multiple output production technologies. Eichhorn W, Neumann K, Shephard R, eds. Quantitative Studies on Production and Prices (Physica, Würzburg), 159–171.Crossref, Google Scholar
• Farrell M (1957) The measurement of productive efficiency. J. Roy. Statist. Soc. Ser. A 120(3):253–281.Crossref, Google Scholar
• Giannakas K, Tran K, Tzouvelekas V (2003) On the choice of functional form in stochastic frontier modeling. Empirical Econom. 28(1):75–100.Crossref, Google Scholar
• González E, Álvarez A (2001) From efficiency measurement to efficiency improvement: The choice of a relevant benchmark. Eur. J. Oper. Res. 133(3):512–520.Crossref, Google Scholar
• Guarda P, Rouabah A, Vardanyan M (2013) Identifying bank outputs and inputs with a directional technology distance function. J. Production Anal. 40(2):185–195.Crossref, Google Scholar
• Hackman S (2008) Production Economics: Integrating the Microeconomic and Engineering Perspectives (Springer, Berlin).Google Scholar
• Hoffman KL (1981) A method for globally minimizing concave functions over convex sets. Math. Programming 20(1):22–32.Crossref, Google Scholar
• Jones D, Tamiz M (2010) Practical Goal Programming (Springer, New York).Crossref, Google Scholar
• Kerstens K, Vanden Eeckaut P (1995) Technical efficiency measures on DEA and FDH: A reconsideration of the axiomatic literature. CORE Discussion Paper 9513, Université Catholique de Louvain, Louvain-la-Neuve, Belgium.Google Scholar
• Koopmans T (1951) Analysis of production as an efficient combination of activities. Koopmans T, ed. Activity Analysis of Production and Allocation (Yale University Press, New Haven, CT), 33–97.Google Scholar
• Kopp R (1981a) The measurement of productive efficiency: A reconsideration. Quart. J. Econom. 96(3):477–503.Crossref, Google Scholar
• Kopp R (1981b) Measuring the technical efficiency of production: A comment. J. Econom. Theory 25(3):450–452.Crossref, Google Scholar
• Kopp R, Smith V (1980) Frontier production function estimates for steam electric generation: A comparative analysis. Southern Econom. J. 46(4):1049–1059.Crossref, Google Scholar
• Kumbhakar S (1989) Estimation of technical efficiency using flexible functional form and panel data. J. Bus. Econom. Statist. 7(2):253–258.Google Scholar
• Kuosmanen T, Johnson A (2010) Data Envelopment Analysis as nonparametric least-squares regression. Oper. Res. 58(1):149–160.Link, Google Scholar
• Lovell C, Pastor J (1995) Units invariant and translation invariant DEA models. Oper. Res. Lett. 18(3):147–151.Crossref, Google Scholar
• Luenberger D (1969) Optimization by Vector Space Methods (Wiley, New York).Google Scholar
• Pastor J, Ruiz J, Sirvent I (1999) An enhanced DEA Russell graph efficiency measure. Eur. J. Oper. Res. 115(3):596–607.Crossref, Google Scholar
• Portela M, Thanassoulis E (2005) Profitability of a sample of Portuguese bank branches and its decomposition into technical and allocative components. Eur. J. Oper. Res. 162(3):850–866.Crossref, Google Scholar
• Portela M, Thanassoulis E (2007) Developing a decomposable measure of profit efficiency using DEA. J. Oper. Res. Soc. 58(4):481–490.Crossref, Google Scholar
• Ruggiero J, Bretschneider S (1998) The weighted Russell measure of technical efficiency. Eur. J. Oper. Res. 108(2):438–451.Crossref, Google Scholar
• Russell R (1985) Measures of technical efficiency. J. Econom. Theory 35(1):109–126.Crossref, Google Scholar
• Russell R (1988) On the axiomatic approach to the measurement of technical efficiency. Eichhorn W, ed. Measurement in Economics (Physica, Heidelberg), 207–217.Crossref, Google Scholar
• Russell R (1990) Continuity of measures of technical efficiency. J. Econom. Theory 51(2):255–267.Crossref, Google Scholar
• Russell R, Schworm W (2009) Axiomatic foundations of efficiency measurement on data-generated technologies. J. Production Anal. 31(2):77–86.Crossref, Google Scholar
• Russell R, Schworm W (2011) Properties of inefficiency indexes on 〈input, output〉 space. J. Production Anal. 36(2):143–156.Crossref, Google Scholar
• Russell R, Schworm W (2018) Technological inefficiency indexes: A binary taxonomy and a generic theorem. J. Production Anal. 49(1):17–23.Crossref, Google Scholar
• Thanassoulis E, Dyson R (1992) Estimating preferred target input-output levels using Data Envelopment Analysis. Eur. J. Oper. Res. 56(1):80–97.Crossref, Google Scholar
• Tuy H, Thieu T, Thai N (1985) A conical algorithm for globally minimizing a concave function over a closed convex set. Math. Oper. Res. 10(3):498–514.Link, Google Scholar
• Zhu J (1996) Data Envelopment Analysis with preference structure. J. Oper. Res. Soc. 47(1):136–150.Crossref, Google Scholar
• Zieschang K (1984) An extended Farrell efficiency measure. J. Econom. Theory 33(2):387–396.Crossref, Google Scholar