中文摘要：

针对传统灰色GM（1,1）模型和已有的若干改进GM（1,1）模型在高增长指数序列建模时模型精度较低的问题,构造了一种带有调节因子λ的新背景值公式,提出了调节因子λ的优化方法,并应用于灰色系统建模中.大量的数字仿真表明：基于调节因子λ建立的新GM（1,1）模型,即使是在发展系数较高、且用于多步预测时精度仍然保持较高,它较传统GM（1,1）模型和已有的改进GM（1,1）Ⅰ,Ⅱ型均有显著地提高.

英文摘要：

To improve accuracy of the traditional grey GM （1,1） model and several improved GM （1,1） models for high growth index sequence modeling,this paper reconstruct new background values with an adjustable factor,and proposes an optimization method for the adjustable factor,simultaneously applies it to grey system modeling.A large number of digital simulation results show that even in high developing coefficient and in multi-step prediction,the accuracy of the new GM （1,1） model based on the optimization value of the adjustable factor remains higher precision,in contrast to the traditional GM （1,1） model and improved GM （1,1） Ⅰ and Ⅱ.