Abstract
In this paper, new Network Data Envelopment Analysis (NDEA) models are developed to evaluate the efficiency of regional electricity power networks. The primary objective of this paper is to consider perturbation in data and develop new NDEA models based on the adaptation of robust optimization methodology. Furthermore, in this paper, the efficiency of the entire networks of electricity power, involving generation, transmission and distribution stages is measured. While DEA has been widely used to evaluate the efficiency of the components of electricity power networks during the past two decades, there is no study to evaluate the efficiency of the electricity power networks as a whole. The proposed models are applied to evaluate the efficiency of 16 regional electricity power networks in Iran and the effect of data uncertainty is also investigated. The results are compared with the traditional network DEA and parametric SFA methods. Validity and verification of the proposed models are also investigated. The preliminary results indicate that the proposed models were more reliable than the traditional Network DEA model.
Highlights
Efficiency evaluation of the electricity power networks is an important task for managers for better understanding the past accomplishments of the network, which helps them plan for its future development
The results of the proposed Robust Network Data envelopment analysis (DEA) based on Ben-Tal and Nemirovski (BN) approach (RNDEA-BN) for reliability level of κ = 0.95 (O = 0.32) are presented in columns 5–7 of Table 2
In this study proposed robust network DEA models are in nonlinear form but the model based on BN approach is more complicated to solve
Summary
Efficiency evaluation of the electricity power networks is an important task for managers for better understanding the past accomplishments of the network, which helps them plan for its future development. Several methods have been developed to evaluate the efficiency of decision making units (DMUs). Robust NDEA approach to evaluate the efficiency of regional electricity power networks under uncertainty multiple inputs and outputs. The basic idea behind DEA method is application of mathematical optimization for evaluating relative efficiency of DMUs with multiple inputs and outputs. Robust Network DEA models are developed to evaluate the efficiency of some electricity power networks with uncertain data.
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