- 期刊
Optimization of Grey Model with the Fractional Order Accumulation
並列摘要
GM(1,1) is an important part of grey system theory, which uses a first order differential equation to characterize an unknown system based on accumulated generating operation. The accumulated order is from the first or positive integer to the positive fraction. Numerical calculation is used to analyze optimization of the accumulated order in the grey model with the fractional order accumulated generation. Computational results of practical cases show that there always exist optimal orders in the fractional order accumulated generating operation for increasing, decreasing and non-monotonic sequences. The average percentage deviation of grey model with the optimal order are less than one of the traditional GM(1,1), which improve the accuracy of simulations of real cases.
延伸閱讀
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