Application of AHP Method for Optimization of Nonlinea Multi - Criteria Water Allocation of Reservoirs in Terms of Equality and Efficiency Criteria (Case Study: Water Allocation of Reservoir of Givi dam)

The allocation of water reservoirs with three basic conditions, equality, efficiency and sustainability is a prerequisite for sustainable development. Due to the limited availability of renewable water sources at the river basin level and the increasing demand for water in various uses (agriculture, domestic, industry and the environment) due to population growth and competition over resource use, the need to pay attention to The allocation of water resources has increased, and this calls for attention to different ways of optimizing water resources allocation. Therefore, in this research, we have tried to provide a model that can consider different criteria for water allocation, especially two basic criteria of justice and efficiency, and to comply with different environmental criteria.The new constructed dam of Givi With a normal volume of 54 million cubic meters is located in the catchment area of the Givi Chai River With an area of about 600 square kilometers from the subbasins of the Ghezel Ozan River and due to the fact that the dam's irrigation network has not been constructed and reservoir allocation details are not known yet, In this study, we tried to provide a model for the sustainable development of the area by paying attention to the agricultural and industrial potential of the region, as well as the needs of domestic in the present and in the 20 years horizons.The output of the model was obtained for various coefficients for the objective functions (efficiency and equity) and the results were shown by increasing the coefficient of efficiency function and reducing the function of justice (the function of Gini) and finally, using the AHP method and obtaining the Paired Comparison matrix, The optimal model and thus the coefficients of optimal efficiency and equity functions were calculated. The results show that the coefficients of the target functions (0.6 and 0.4) are optimal for the functions of efficiency and equity, respectively. And in fact it's a global optimum point.