含时间幂次项的灰色 GM(1,1,tα)模型及其应用

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针对GM(1,1)模型应用的局限性,根据实际应用的需要,利用灰色建模思想构建了含时间幂次项的灰色GM(1,1,t~α)模型,对该模型的建模过程、参数估计、时间响应式进行了研究,并讨论了α几种特殊取值下的该模型的性质、适用范围、时间响应式,并利用GM(1,1,t~2)对某沿海高速的软土地基沉降进行了拟合与预测,获得了较高的拟合与预测精度,通过实际应用检验了所构建的模型的有效性.
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