مدل مديريت مخازن آبي با استفاده از تئوري بازي

A Model for Reservoir Operation Based on the Game Theory

Increasing water demands have formed challenges and conflicts over the limited water resources. The existing optimization models have limitations in resolving such conflict problems. In recent years a few discrete stochastic dynamic models have attempted to solve cases of water use (conflicts) so that more efficient water distribution management can be achieved. These models have to some extent addressed the conflict issues of water resources. However, they still do not cover certain constraints, and also require complicated procedures and massive computational efforts. The discrete nature of these models seems to be the limiting factor. In order to resolve these shortcomings, in this research a continuous dynamic deterministic game model is proposed to manage water supply and consumption under challenging conditions. Continuous value functions (long term), utility functions (short terms), and equation of motion are defined in the proposed model. The mathematical equations are formed in a way to decrease the computational time. For this purpose the Ricatti equations are used to solve the proposed continuous stochastic game model. The proposed model is applied to the Zayandeh-rud river basin in central Iran. The results are quite favorable compared to the Dynamic Programming (DP) model outcomes.