Document Type : Research Paper
Authors
1 PhD student, Department of Applied Mathematics, Faculty of Basic Sciences, Rasht Branch, Islamic Azad University, Rasht, Iran
2 Professor, Department of Applied Mathematics, Faculty of Basic Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran
3 Assistant Professor, Department of Applied Mathematics, Faculty of Basic Sciences, Rasht Branch, Islamic Azad University, Rasht, Iran
Abstract
In production technology, studying the effect of an indicator on one or more other indicators while maintaining efficiency, under the name of marginal rate, can provide valuable information to managers for better management of the system. In this paper, the aim is to study the effect of meaningful indicators on each other and in a specific two-stage structure with the presence of undesirable outputs. In this study, unlike previous studies, production technology is divided into two sub-technologies in a two-stage structure and then, focusing on the application issue, first the effect of a specific input from the first stage on the intermediate indicator is measured and then by calculating the changes made in this indicator, which is calculated by the proposed model, its effect on the specific final output is measured as a transmission factor. In this paper, focusing on data collected from 21 provincial power plants consisting of interdependent "generation" and "transmission" sections, each structural unit has a similar structure to the stated structure. Considering the total technology distribution, the effect of increasing or decreasing the fuel type component is taken as the first stage input on the electricity flow, and then the changes in electricity flow are measured on the total system revenue.
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