RETRACTED: Application in optimization of multi-reservoir water systems using improving shuffled complex algorithm (Retracted Article)

Multi-reservoir systems exploitation is known as one of the most important problems in optimizing water resources. The present study aims to improve the differential evolution (DE) algorithm, promoting the contraction performance and reflection operators, by merging in the shuffled complex evolutionary (SCE). In order to use the SCE algorithm for complex water resource problems, SCE-DE algorithm was developed as well. The performed algorithm was evaluated by solving a difficult mathematical function problem using SCE and SCE-DE methods as a benchmark. The results illustrate that SCE-DE method represents a higher speed in converging to the optimum response and is closer to the absolute optimum. Moreover, the mentioned algorithms were performed for solving the optimization problems of multi-reservoir systems, and the obtained results were compared with the LP absolute response. The obtained data represent a difference of 0.009% between the response of objective function in the SCE-DE method and the LP response. However, the response of objective function of SCE differs 1.84% from that of the LP. Comparing the present observations and the other studies, the proposed algorithm has revealed a much closer optimum response to the LP response. Therefore, we recommend SCE-DE for solving complex problem of water resources.