Efficiency Measurement With A Three-Stage Hybrid Method

Year 2018, , 370 - 388, 19.05.2018

İrfan Ertuğrul , Tayfun Öztaş

https://doi.org/10.21449/ijate.423602

Cited By: 1

Abstract

Data Envelopment Analysis (DEA) is one of the most widely used efficiency measurement techniques in the literature. In the method developed by Charnes, Cooper, and Rhodes, the relation between input(s) and output(s) is examined and relative efficiency values are obtained for many decision-making units. In order to be able to accurately measure the efficiency with Data Envelopment Analysis, the selection of input and output variables needs to be done carefully otherwise, the results may be misleading. For this purpose, it is aimed to make an objective selection process by using Grey Relational Analysis (GRA) in the identification of variables in the study. Via this method 17 financial ratios of 20 firms in the BIST Food Index for the period of 2013-2015 categorized into 4 groups, then each category clustered and the ratios which have the highest correlation within each cluster selected as representative indicator. Thus, 3 inputs and 2 output variables were selected so that the number of variables was reduced from 17 to 5. An input-oriented BCC model was established with selected variables to determine the efficiencies of firms in each period. The Malmquist Total Factor Productivity Index was used to analyze the productivity changes between periods. It was concluded that 7 firms were efficient in each year and the productivity of the sector increased between the periods as a result of the analysis.

Keywords

Efficiency measurement, Grey Relational Analysis, Data Envelopment Analysis, Malmquist index, Clustering

Efficiency Measurement With A Three-Stage Hybrid Method

Abstract

Data
Envelopment Analysis (DEA) is one of the most widely used efficiency
measurement techniques in the literature. In the method developed by Charnes, Cooper, and Rhodes, the relation
between input(s) and output(s) is examined and relative efficiency values are
obtained for many decision-making units. In order to be able to accurately
measure the efficiency with Data
Envelopment Analysis, the selection of input and output variables needs to be
done carefully otherwise, the results may be misleading. For this purpose, it
is aimed to make an objective selection process by using Grey Relational
Analysis (GRA) in the identification of variables in the study. Via this method
17 financial ratios of 20 firms in the BIST Food Index for the period of
2013-2015 categorized into 4 groups, then each category clustered and the
ratios which have the highest correlation within each cluster selected as representative indicator. Thus, 3 inputs and 2
output variables were selected so that the number of variables was reduced from
17 to 5.  An input-oriented BCC model was
established with selected variables to determine the efficiencies of firms in
each period. The Malmquist Total Factor Productivity Index was used to analyze
the productivity changes between periods. It was concluded that 7 firms were
efficient in each year and the productivity of the sector increased between the
periods as a result of the analysis.

Keywords

Efficiency measurement, Grey Relational Analysis, Data Envelopment Analysis, Malmquist index, Clustering

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