Application of the Elitist-Mutated PSO and an Improved GSA to Estimate Parameters of Linear and Nonlinear Muskingum Flood Routing Models

PloS One
Ling Kang, Song Zhang

Abstract

Heuristic search algorithms, which are characterized by faster convergence rates and can obtain better solutions than the traditional mathematical methods, are extensively used in engineering optimizations. In this paper, a newly developed elitist-mutated particle swarm optimization (EMPSO) technique and an improved gravitational search algorithm (IGSA) are successively applied to parameter estimation problems of Muskingum flood routing models. First, the global optimization performance of the EMPSO and IGSA are validated by nine standard benchmark functions. Then, to further analyse the applicability of the EMPSO and IGSA for various forms of Muskingum models, three typical structures are considered: the basic two-parameter linear Muskingum model (LMM), a three-parameter nonlinear Muskingum model (NLMM) and a four-parameter nonlinear Muskingum model which incorporates the lateral flow (NLMM-L). The problems are formulated as optimization procedures to minimize the sum of the squared deviations (SSQ) or the sum of the absolute deviations (SAD) between the observed and the estimated outflows. Comparative results of the selected numerical cases (Case 1-3) show that the EMPSO and IGSA not only rapidly converge but also obtain the ...Continue Reading

References

Jan 21, 2014·Evolutionary Computation·Changhe LiMing Yang
May 27, 2014·PloS One·Chen LiuWen-Xu Wang
Mar 20, 2015·Scientific Reports·Yang GaoGang Yan

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Software Mentioned

RGA
EMPSO
IGSA
Windows
PSO
GSA
NLMM

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