Reservoir Planning for Irrigation District

Abstract

A mixed integer linear optimization model for river basin development for irrigation is presented. The model is a chance-constrained optimization model that considers the interactions between design and operation parameters (reservoir capacity, delivery system capacity, hectares of land to be developed and planted to different crops, etc.). The model is capable of integrating all decision variables in the design phase, thus accounting directly for any interdependency between the design variables. The model uses a mixed integer technique to linearize the nonlinear cost functions and is applicable to concave and convex cost functions. Solution of the model provides the optimum extent of the land development for irrigation, cropping pattern, reservoir and canal capacities, as well as the necessary linear decision rule operational parameters. Also, solution of the model reveals the importance of direct inclusion of the reservoir cost in the model in comparison to only minimizing the reservoir capacity under an assumed demand distribution.