Calculating the Scale Elasticity in Cost Efficiency, Applied in Iranian Sugar Mills

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Ghayeghran Sarab R.; Malek A.; Amirteimoorii A.; Kordrostami S.

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Journal Paper

Paper Information

Journal: Journal of Operational Research in its Applications Year:2022 | Volume:19 | Issue:2 Page(s): 39-56

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Information Journal Paper

Title

Calculating the Scale Elasticity in Cost Efficiency, Applied in Iranian Sugar Mills

Author(s)

Ghayeghran Sarab R. | Malek A. | Amirteimoorii A. | Kordrostami S. | Issue Writer Certificate

Keywords

Data Envelopment AnalysisQ4

Cost EfficiencyQ4

Scale ElasticityQ4

Returns to ScaleQ4

Sugar MillsQ4

Abstract

Returns to Scale studies output variations with respect to input changes, which is presented both qualitatively or Returns to Scale (RTS), and quantitatively or Scale Elasticity (SE). This paper describes SE and then SE in Cost Efficiency (CE) models and uses Data Envelopment Analysis (DEA) approach to calculate them. Since the sugar industry plays a significant role in the Iranian economy, the efficiency and CE of Sugar Mills are of crucial importance to prevent the waste of resources and to save on production costs, respectively. For this purpose, the SE in Cost Efficiency model is considered for fifteen Sugar Mills, which process raw sugar beets. We obtain the SE of these mills before and after the image of inefficient units on the technical and cost-efficient frontier. It is found from their Scale Elasticity that their RTS are constant. In this paper, the methods for integrating and normalizing many parameters with different measurement units to a smaller set are described. “Eighteen inputs-four outputs” are consolidated into “four inputs-one output” categories. Also, the methods for calculating the price per unit based on the total price are explained.

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