Improved Grey Model GM(1,1) and Its Application based on Genetic Algorithm
نویسندگان
چکیده
Abstract Although the grey forecasting model has been successfully utilized in many fields and demonstrated promising results, there are some problems in GM(1,1) model, such as, model method biased, transformation inconsistent and first number of the initial sequence not functioning high precision prediction in model after an accumulated generating operation. Literatures show its performance still could be improved. For this purpose, this paper proposes an improved grey GM(1,1) model, which uses Fourier series to correct the residual of original value and predictive vale, and reconstructs the GM(1,1) white background value based on genetic algorithm. As shown in simulation results, the proposed model obviously can improve the prediction accuracy of the original grey model, and has a very high practicability and reliability.
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