基于总体最小二乘的动态灰色模型及其在沉降预测中的应用  

Application of the dynamic grey model based on total least-squares to the subsidence prediction

作　　者：吴飞[1] 叶坤 陶武勇 

机构地区：[1]中国矿业大学环境与测绘学院,江苏徐州221116 [2]抚州市重点建设项目管理办公室,江西抚州344000 [3]江西信息应用职业技术学院测绘工程系,南昌330043

出　　处：《工程勘察》2017年第10期70-72,共3页Geotechnical Investigation & Surveying

摘　　要：本文提出基于总体最小二乘的动态灰色模型对沉降数据进行预测,该方法采用灰数递补的动态预测的思想,保持模型维度不变,对解算模型加入新的信息取代旧的信息,并顾及观测向量与系数矩阵中的误差,对模型的参数及预测值进行求解。通过两组实际数据验证了本文方法的可行性及有效性。In this paper,a method of dynamic grey model based on total least-squares is proposed which can be used to the ground subsidence prediction. In addition,on the basic of the theory of equaldimension dynamic grey model,the dimension of the model is fixed and the new information is added to the model to replace old information. The parameters of the model and the predictions are solved by taking into account the errors in the observation vector and the coefficient matrix. The test results show that the method can effectively improve the accuracy of the prediction.

关 键 词：GM(1 1) 动态灰色模型 总体最小二乘 沉降预测 

分 类 号：O141.4[理学—数学]