The new hybrid ROYKA method for optimizing multi-response problems (Case study: power plants of IRAN)

Multi-response problems are always one of the most challenging areas of optimization. In this paper, the ROYKA hybrid method is presented to optimize multi-response problems, which is a combination of two methods of response surface and data envelopment analysis. In the ROYKA method, the efficiency surface is created and optimized, and in fact, one efficiency surface replaces several response surfaces, and the problem is changed from a multi-response mode to a single response. Therefore, in the proposed method, in addition to optimizing the response surface, the efficiency of decision-making units is also maximized. The result of this method is to determine the input and output parameters of the ideal and new decision-making unit, which also has the maximum amount of efficiency.Due to the high importance of the electricity industry and energy production, power plants, which are responsible for a very important part of electricity generation, have to increase the efficiency of their activities in order to make better use of resources. For this purpose, the proposed method of ROYKA for fourteen power plants in the country has been studied, which in addition to determining the efficiency of each power plant to determine the optimal parameters for the construction of a new power plant with maximum efficiency. Finally, in order to validate the proposed method, three other similar approaches have been used for the mentioned problem and the results show the superiority of the ROYKA method.