A non-radial approach to improve the interval cost efficiency score in DEA

被引:0
作者
Tohidi G. [1 ]
Tohidnia S. [1 ]
机构
[1] Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran
关键词
Cost efficiency; Data envelopment analysis; DEA; Ideal input vector; Interval data; Non-radial model;
D O I
10.1504/IJISE.2021.118255
中图分类号
学科分类号
摘要
This paper suggests an approach for improving the cost efficiency score of inefficient decision making units (DMUs) with interval data. Corresponding to each inefficient DMU, we consider an interval ideal input vector and then develop two non-radial models to determine a point in the production possibility set that can produce the given interval output vector with the minimum possible cost and is closest point to the corresponding ideal point. By replacing the observed interval input vector with the interval input vector of the obtained point, one can improve the lower bound of the interval cost efficiency score as much as possible while the upper bound can achieve one. A numerical example also will be designed to demonstrate the applicability of the proposed approach. Copyright © 2021 Inderscience Enterprises Ltd.
引用
收藏
页码:151 / 161
页数:10
相关论文
共 26 条
[1]  
Andemeskel F., Semere D.T., Model-based collaborative development of manufacturing and control systems, International Journal of Industrial and Systems Engineering, 28, 4, pp. 433-450, (2018)
[2]  
Andersen P., Petersen N.C., A procedure for ranking efficient units in data envelopment analysis, Management Science, 39, 10, pp. 1261-1264, (1993)
[3]  
Atabaki M.S., Mirzazadeh A., Fazayeli S., Price, production and order decisions in a one-manufacturer multi-retailer supply chain with fuzzy costs: two parameter tuned meta-heuristics, International Journal of Industrial and Systems Engineering, 29, 3, pp. 303-337, (2018)
[4]  
Banker R.D., Charnes A., Cooper W.W., Some models for estimating technical and scale efficiencies in DEA, European Journal of Operational Research, 30, 9, pp. 1078-1092, (1984)
[5]  
Charnes A., Cooper W.W., Rhodes E., Measuring the efficiency of decision making units, European Journal of Operational Research, 2, 6, pp. 429-444, (1978)
[6]  
Charnes A., Cooper W.W., Golany B., Seiford L.M., Stutz J., Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions, Journal of Economics, 30, 1–2, pp. 91-107, (1985)
[7]  
Cherchye L., De Rock B., Walheer B., Multi-output efficiency with good and bad outputs, European Journal of Operational Research, 240, 3, pp. 872-881, (2015)
[8]  
Cherchye L., De Rock B., Walheer B., Multi-output profit efficiency and directional distance functions, Omega, 61, pp. 100-109, (2016)
[9]  
Cooper W.W., Park K., Pastor J.T., RAM: range adjusted measure of inefficiency for use with additive models and relations to other models and measures in DEA, Journal of Productivity Analysis, 11, 1, pp. 5-42, (1999)
[10]  
Craven B.D., Islam S.M.N., Dynamic optimization models in finance: some extensions to the framework, models, and computation, Journal of Industrial and Management Optimization, 10, 4, pp. 1129-1146, (2014)