2020•Journal of New Researches in MathematicsRequires access

Evaluate the efficiency of decision making units with classical model and goal programming data envelopment analysis and output correlation with statistical methods in Ghavamin Bank.

Golamreza Panahandeh Khojin, Abbas Toloei Eshlaghy, Mohammad Ali Afshar Kazemi

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Abstract

Objective: The purpose of this study was to determine and evaluate the efficiency of decision making units with classical model and goal programming data envelopment analysis and output correlation with statistical methods in Ghavamin Bank.Methods: In this paper, data envelopment analysis model based on output- oriented BCC was used to determine the efficiency of provincial branch management in the Ghavamin Bank. As well as to increase the discrimination power of decision-making units more efficient from the inefficient, first models of the default goal programming data envelopment analysis model was examined, then the output models of default as part of the input goal programming data envelopment analysis model was used. Finally, Pearson correlation coefficient was used to evaluate the correlation between the classical model and goal programming model in the outputs.Results: According to output amounts output- oriented BCC model all of decision-making units is efficient and value their efficiency is equal to one, then to discriminate higher than the goal programming data envelopment analysis model was used, the results showed that the 32 management 21 units are efficient and the rest are inefficient. The results also showed that there is a significant correlation between the classical model and the goal programming model.Conclusion: The results showed that goal programming data envelopment analysis model in discriminating efficient decision making units from inefficient has higher discrimination power than output- oriented BCC model.

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Objective: The purpose of this study was to determine and evaluate the efficiency of decision making units with classical model and goal programming data envelopment analysis and output correlation with statistical methods in Ghavamin Bank.Methods: In this paper, data envelopment analysis model based on output- oriented BCC was used to determine the efficiency of provincial branch management in the Ghavamin Bank. As well as to increase the discrimination power of decision-making units more efficient from the inefficient, first models of the default goal programming data envelopment analysis model was examined, then the output models of default as part of the input goal programming data envelopment analysis model was used. Finally, Pearson correlation coefficient was used to evaluate the correlation between the classical model and goal programming model in the outputs.Results: According to output amounts output- oriented BCC model all of decision-making units is efficient and value their efficiency is equal to one, then to discriminate higher than the goal programming data envelopment analysis model was used, the results showed that the 32 management 21 units are efficient and the rest are inefficient. The results also showed that there is a significant correlation between the classical model and the goal programming model.Conclusion: The results showed that goal programming data envelopment analysis model in discriminating efficient decision making units from inefficient has higher discrimination power than output- oriented BCC model.

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Available abstract

Objective: The purpose of this study was to determine and evaluate the efficiency of decision making units with classical model and goal programming data envelopment analysis and output correlation with statistical methods in Ghavamin Bank.Methods: In this paper, data envelopment analysis model based on output- oriented BCC was used to determine the efficiency of provincial branch management in the Ghavamin Bank. As well as to increase the discrimination power of decision-making units more efficient from the inefficient, first models of the default goal programming data envelopment analysis model was examined, then the output models of default as part of the input goal programming data envelopment analysis model was used. Finally, Pearson correlation coefficient was used to evaluate the correlation between the classical model and goal programming model in the outputs.Results: According to output amounts output- oriented BCC model all of decision-making units is efficient and value their efficiency is equal to one, then to discriminate higher than the goal programming data envelopment analysis model was used, the results showed that the 32 management 21 units are efficient and the rest are inefficient. The results also showed that there is a significant correlation between the classical model and the goal programming model.Conclusion: The results showed that goal programming data envelopment analysis model in discriminating efficient decision making units from inefficient has higher discrimination power than output- oriented BCC model.

Key concepts: Data envelopment analysis, Goal programming, Computer science, Linear programming, Envelopment, Programming paradigm, Pearson product-moment correlation coefficient, Operations research

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Evaluate the efficiency of decision making units with classical model and goal programming data envelopment analysis and output correlation with statistical methods in Ghavamin Bank. — Research Paper | ScholarLens