Dynamic Programming Model for the System of a Non-Uniform Deficit Irrigation and a Reservoir

Abstract

This paper proposes two optimization models for uniform and non-uniform deficit irrigation. In the first model, the objective function consists of a benefit–cost ratio. The deficit irrigation ratio was determined by dynamic programming, according to the reservoir releases, and minimized a damage function (objective function). The second model used dynamic programming to develop an integrated optimization of non-uniform deficit irrigation and reservoir operation. The comparison between the results of the models shows that when applying the second model the cropping area, volume of water regulated by the reservoir, annual production, gross income and benefit–cost ratio increased by 48, 43, 48, 47 and 2.4%, respectively. Therefore, integrated dynamic programming of a non-uniform deficit irrigation and reservoir system can be recommended to increase the integrated productivity of a storage dam and irrigation system. Copyright © 2016 John Wiley & Sons, Ltd.