AN EXTENDED AGGREGATED RATIO ANALYSIS IN DEA

• Published in: Journal of systems science and systems engineering Vol. 20; no. 2; pp. 249 - 256
• Main Authors: Song, Malin, Wu, Jie, Wang, Yumei
• Format: Journal Article
• Language: English
• Published: Heidelberg SP Systems Engineering Society of China 01.06.2011; Springer Nature B.V
• Subjects: ARA; CCR模型; CC模型; Complexity; Data envelopment analysis; DEA模型; Economic Theory/Quantitative Economics/Mathematical Methods; Engineering; Equivalence; Measurement methods; Operations Research/Decision Theory; Technical Note; 数据包络分析; 聚合; 计量单位; 输出变量; aggregated ratio analysis; Data Envelopment Analysis (DEA); efficiency evaluation; returns to scale
• ISSN: 1004-3756; 1861-9576
• DOI: 10.1007/s11518-011-5162-1

Data Envelopment Analysis（DEA） and Ratio Analysis（RA） are two widely used methods for measuring units＇ productivity and any other criteria that could be assessed based on the available input and output variables.A number of researchers have studied DEA and RA and noted the positive and negative differences between them.Aggregated ratio analysis（ARA） model,which provide an important linkage between DEA and RA theory,is equivalent to the CCR DEA model,and this equivalence property offers a great deal of opportunities for DEA to be interpreted and applied in different ways.This paper extends the results of ARA model and proposes an extended aggregated ratio analysis（EARA） model,similar as the development from CCR model to BCC model in DEA context.The proposed model can offer an insight into the characteristic of returns to scale,playing the corresponding role as BCC model does.The numerical example is revisited in the paper and the results are compared.