Multi-component Efficiency with share Resources in Insurance Companies

In the most common utilization of Data Envelopment Analysis (DEA), the existing models used to in order to obtain efficiency score. However, trough real cases, efficiency are a factor of different share resources in Decision Making Units (DMUs). Indeed, in classical models, a DMU had its own inputs and outputs and could only be effective in its own efficiency, but in the model, which introduced here, some of the inputs are used for some of the components in common and the whole component makes outputs. In this article, the efficiency of four insurance companies in six periods is examined and indices in question include debt ratio, flow of capital resources ratio, profit margin, capital output of insurance companies, and the components of capital structure, profitability, and growth are known as those using the specific and common indices. In this article, in order to calculate efficiency of a decision making unit we have used four components and determined the specific efficiency of each single component individually. In this procedure, the efficiency of each component is calculated without the effect of those indices, which are not used. Moreover, the aggregate efficiency of all components will be recognizing. With this method, we will find inefficient components in an efficient DMU and we can determine exactly which of the inefficient components make the DMU inefficient. Finally, the relative efficiency of units will be calculating in financial component.