SCGM(1,m)_c model with time-lag and its application in deformation analysis

Abstract

Originated in the early 1990s, SCGM(1,m)_c model has enjoyed widespread application in the fields of urban planning, society economy prediction and modal control in recent years. However, none of these applications have taken account of time-lag effects in the modeling process. Aiming at overcoming the defect, the authors introduced time-lag items into SCGM(1,m)_c model and developed a SCGM(1,m)_c model with time-lag, then discusses in detail some principal problems in the model, such as parameters estimation, model verifying, model prediction, etc. The model was used on a real slope monitoring project and compared with the conventional SCGM(1,m)_c model. The results show an improvement of average models precision from 1.321 to 0.238 and total average of relative prediction errors from 12.41% to 7.98% when the modeling data length ranges from 29 to 48 in the slope monitoring case.

Keywords

grey system / SCGM(1,m)_c / time-lag / deformation analysis

References

[1] DengJu-longGrey control system, 1985, Wuhan, Huazhong Institute of Technology Press(in Chinese)

[2] DengJu-longGrey prediction and decision, 1986, Wuhan, Huazhong Institute of Technology Press(in Chinese)

[3] ChenMian-yun. Application of grey system method in overall urban planning[J]. Jounral of Huazhong Univ of Sci & Tech, 1990, 18(3): 1-7(in Chinese)

[4] ChenMian-yun. An SCGM(1,h)_c model and grey forecasting modal control[J]. Jounral of Huazhong Univ of Sci & Tech, 1993, 21(3): 47-52(in Chinese)

[5] ChenMian-yun, YinPing-jin, XiongHui. The SCGM(1, h)_c-forecasting model with residual error modification and its application in overall urban planning of Liuzhou City[J]. Jounral of Huazhong Univ of Sci & Tech, 1993, 21(3): 42-46(in Chinese)

[6] YinHui, ChenYong-qi, ZhangYan. Multi-point deformation prediction model with poor data information and its application[J]. Acta Geodaetica et Cartographic Sinica, 1997, 26(4): 365-372(in Chinese)

[7] YinHui, WangShang-qing. Multi-point spatial nonlinear model based on grey correlation clustering and its application[J]. Jounral of Wuhan Tech Univ of Surveying and Mapping, 1998, 23(2): 101-104(in Chinese)

[8] QuJun, FengYing-jun, ShengJian-min. GM(1,2) model with time-lag and its application[J]. System Engineering, 1996, 14(6): 66-68(in Chinese)

[9] XiongHe-jin, XiongYing-fei, ChenMian-yun, et al.. On the extensions of the grey forecasting model SCGM(1,h)_c[J]. Jounral of Huazhong Univ of Sci & Tech, 1999, 27(1): 1-3(in Chinese)