Application in optimization of multi‑reservoir water systems using improving shuffled complex algorithm

摘要

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 performanceand reflection operators, by merging in the shuffled complex evolutionary (SCE). In order to use the SCE algorithm forcomplex water resource problems, SCE-DE algorithm was developed as well. The performed algorithm was evaluated bysolving a difficult mathematical function problem using SCE and SCE-DE methods as a benchmark. The results illustratethat SCE-DE method represents a higher speed in converging to the optimum response and is closer to the absoluteoptimum. Moreover, the mentioned algorithms were performed for solving the optimization problems of multi-reservoirsystems, and the obtained results were compared with the LP absolute response. The obtained data represent a differenceof 0.009% between the response of objective function in the SCE-DE method and the LP response. However, theresponse of objective function of SCE differs 1.84% from that of the LP. Comparing the present observations and theother studies, the proposed algorithm has revealed a much closer optimum response to the LP response. Therefore, werecommend SCE-DE for solving complex problem of water resources.