Efficiency analysis in semi-additive production technology in DEA in the presence of production trade-offs
Subject Areas : International Journal of Data Envelopment Analysis
1 - عضو هیات علمی دانشگاه آزاد اسلامی واحد شیراز
Keywords: Data envelopment analysis, Efficiency, semi-additive production technology, production trade-offs.,
Abstract :
In this paper, we evaluate the performance of decision-making units (DMUs) in semi-additive production technology in the presence of production trade-offs. We introduce the semi-additive production technology. The semi-additive technology is based on all the DMUs observed and the set of aggregated DMUs corresponding to these DMUs in data envelopment analysis (DEA). We obtain production trade-offs on input and output components in the production process in semi-additive technology. We present a single-stage model to measure efficiency in the presence of production trade-offs in semi-additive production technology. This model also identifies inefficiencies in all input and output components. We show an application of the presented model in the banking industry and at the end we bring the results of the paper.
[1] Charnes A, Cooper WW, Rhodes E. Measuring the efficiency of decision-making units. European journal of operational research. 1978 Nov 1; 2(6): 429-44.
[2] Cook WD, Seiford LM. Data envelopment analysis (DEA)–thirty years on. European Journal of Operation Research. 2009 192: 1–17.
[3] Liu JS, Lu LY, Lu W-M, Lin BJ. A survey of DEA applications. Omega. 2013 41: 893–902.
[4] Emrouznejad A, Yang GL. A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016, Socio-Economic Planning Sciences. 2018 61: 4–8.
[5] Banker RD, Charnes A, Cooper WW. Some models for estimating technical and scale efficiencies in data envelopment analysis. Management Science. 1984 30: 1078-1092.
[6] Koopmans TC. Activity analysis of production and allocation. An analysis of production as an efficient combination of activities, New York: Wiley. 1951.
[7] Deprins D, Simar L, Tulkens H. Measuring labor-efficiency in post offices. Public goods, environmental externalities and fiscal competition, Springer. 2006.
[8] Petersen NC. Data envelopment analysis on a relaxed set of assumptions, Management Science. 1990 36: 305–314.
[9] Green RH, Cook WD. A free coordination hull approach to efficiency measurement, Journal of the Operational Research Society. 2004 55: 1059–1063.
[10] Ghiyasi M. A DEA production technology and its usage for incorporation of collaboration in efficiency analysis: an axiomatic approach. International Transactions in Operational Research. 2016 26: 1118–34.
[11] Ghiyasi M, Cook WD. Modelling the semi-additive production technology in DEA. Omega. 2021 103: 102385.
[12] Allen R, Athanassopoulos A, Dyson RG, Thanassoulis E. Weights restrictions and value judgments in data envelopment analysis: Evolution, development and future directions, Annals of Operations Research. 1997 73: 13–34.
[13] Roll Y, Cook WD, Golany B. Controlling factor weights in data envelopment analysis. IIE Transactions. 1991 23(1): 2–9.
[14] Podinovski VV. Production trade-offs and weight restrictions in data envelopment analysis. Journal of the Operational Research Society. 2004 55(12):1311–1322.
[15] Podinovski VV. Computation of efficient targets in DEA models with production trade-offs and weight restrictions, European Journal of Operational Research. 2007 181(2): 586–591.
[16] Podinovski VV, Bouzdine-Chameeva T. Weight restrictions and free pro-duction in data envelopment analysis, Operations Research. 2013 61(2): 426–437.
[17] Podinovski VV, Bouzdine-Chameeva T. Consistent weight restrictions in data envelopment analysis, European Journal of Operational Research. 2015 244(1): 201-209.
[18] Papaioannou G, Podinovski VV. Production technologies with ratio inputs and outputs, European Journal of Operational Research. 2023 310: 1164–1178.