Mathematical Programming for Optimal Design of Multireservoir Systems

Water reservoir design, which is meant as evaluation of the minimum needed reservoir capacity, planned to meet a safe yield, has been an old issue in water resources systems analysis. Construction of surface water reservoirs, besides being very costly, causes numerous environmental degradations. Therefore, optimal design of the reservoirs, especially in a multireservoir system, due to presence of more complexities, is of great importance. This paper presents a mathematical (mixed-integer) programming model for optimal design of multireservoir systems. The criterion applied in the programming is reliability of water supply, which is the basic criterion concerning performance of a water reservoir. Application of the proposed model has been examined for a multireservoir problem. Results of programming show optimal capacity of each reservoir.

Keywords:

Mathematical programming , Multireservoir system , Reservoir design