Investigating the effect of weight restrictions on estimating returns to scale in convex technologies
Subject Areas : International Journal of Data Envelopment Analysis
1 - iau
Keywords: Efficiency to the Local Scale, Efficiency to the Global Scale, Sensitivity analysis, Data Envelopment Analysis,
Abstract :
Abstract: Data envelopment analysis is a non-parametric method based on mathematics, which is used to evaluate the performance of a set of decision-making units in a production technology with multiple inputs and outputs. The idea of returns to scale is also one of the important topics in Data envelopment analysis is considered as the ratio of changes in output to inputs and is divided into three types: fixed, increasing and decreasing. The use of added weight restrictions in different models is a common method to reduce input flexibility and output weight. is, in the model with weight restrictions, weight restrictions are considered depending on the importance of the indicators (inputs and outputs) to determine the efficiency of the units. structural changes lead to the application of new decision-making units to the model. In such circumstances, determining the desired limit in order to maintain the efficiency to scale in the model or to improve the efficiency to scale of the model under consideration becomes very important. Therefore, the purpose of this article examines the effect of applying weight restrictions on data envelopment analysis models in order to maintain or improve with It is based on the scale and with the least calculations. Finally, by presenting a numerical example, the accuracy of the stated content will be shown
[1] Charnes, A., Cooper, W. W., Rhodes, E., 1978. Measuring the efficiency of decision making units, European Journal of Operational Research. 2 (6), 429-444.
[2] Golany, B. & Yu, G. 1997. Estimating returns to scale in DEA. Eur J Oper Res., 103, 28-37.
[3] Banker. R.D. 1984. Estimating most productive scale size using data envelopment analysis, European Journal of Operational Research. 17, 35-44.
[4] Banker, R.D., Charnes, A. and Cooper, W.W.,1984. Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management science.30, 1078–1092.
[5] Podinovski, V. V. (2004a). Efficiency and returns to scale on the “no free lunch as- sumption only. Journal of Productivity Analysis, 22 (3), 227–257.
[6] Podinovski, V. V., & Bouzdine-Chameeva, T. (2015). Consistent weight restrictions in data envelopment analysis. European Journal of Operational Research, 244 (1), 201–209.
[7] Podinovski, V. V. (2017). Returns to scale in convex production technologies. European Journal of Operational Research 258 (2017) 970–982.
[8] Podinovski, V. V. (2004b). Local and global returns to scale in performance mea- surement. Journal of the Operational Research Society, 55 (2), 170–178.
[9] Podinovski, V. V. (2004d). Production trade-offs and weight restrictions in data envelopment analysis. Journal of the Operational Research Society, 55 (12), 1311–1322.