Proposing an extended model of dynamic data envelopment analysis using goal programming to calculate relative efficiency of industrial development in provinces of Iran

The purpose of the present study was to provide a dynamic model of data envelopment analysis by utilizing from goal programming based on variables of population and education in order to evaluate the relative efficiency of industrial development in provinces of Iran during the years 2007 to 2016. For this purpose, the demographic, education and industry development variables were firstly determined with the help of 42 university and industry experts, then the research model was developed which included: objective function in the form of minimizing adverse deviations of goal constraints based on variations of units at different time periods, and model constraints in the forms of goal constraints and system constraints. In the next step, the model was solved through GAMS Software after designing and implementing dynamic and goal models of data envelopment analysis for provinces of the country in the mentioned period. The relative efficiency of industries development of the provinces was separately calculated for each of the understudy years, then the obtained values were used to calculate the relative efficiency of industry development for each province. According to results, Khuzestan province was ranked first and Sistan and Baluchistan province ranked last in term of average relative efficiency.