A robust DEA model under discrete scenarios for assessing bank branches

Expert Systems with Applications. 2023. Vol. 219. Article 119694.

Omrani H., Shamsi M., Emrouznejad A., Teplova T.

Conventional Data Envelopment Analysis (DEA) assesses the performance of Decision-Making Units (DMUs) by
measuring only one type of efficiency using definite data. However, due to the vastness of some industries, such
as banks, calculating only one type of efficiency cannot confirm DMUs as efficient or inefficient. Also, real-world cases are often faced with uncertain data, and conventional DEA lacks the power to consider these uncertainties in evaluation. In this paper, we develop a multi-objective DEA model to calculate three types of efficiencies, including profitability, operational, and transactional for bank branches when there are uncertain data. First, we apply a modified DEA model which is capable of calculating the common weight of all inputs and outputs by solving only one linear programming model. Then, we employ a robust approach to handle the uncertainty in data. The uncertainty in data is described with discrete scenarios. Discrete scenarios require a set of possible values for each parameter with uncertain nature. Finally, we apply a fuzzy programming method to convert the proposed multi-objective model into a single-objective one. Our main goal is to calculate three types of efficiencies for bank branches under four different scenarios. To validate the accuracy of the proposed model, a real case of 45 Agriculture bank branches located in West Azerbaijan in Iran is examined. The results show that the proposed model can produce accurate results under different scenarios. We also perform a comparative analysis on each efficiency aspect to specify the benchmark branches and also inefficient branches. Comparative analysis can help managers recognize where improvement should be prioritized.

Keywords: неопределенность, fuzzy programming, Uncertainty, устойчивая оптимизация, Data Envelopment Analysis, Data Envelopment Analysis, Multi-objective linear programming, Robust optimization, Многоцелевое линейное программирование, программирование с нечеткими переменными

Publication based on the results of: Analysis of the behavior of financial assets under the influence of exogenous factors (2023)