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.
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References
DENG Ju-long. Grey control system (in Chinese)[M]. Wuhan: Huazhong Institute of Technology Press, 1985.
DENG Ju-long. Grey prediction and decision (in Chinese) [M]. Wuhan: Huazhong Institute of Technology Press, 1986.
CHEN Mian-yun. Application of grey system method in overall urban planning[J]. Jounral of Huazhong Univ of Sci & Tech (in Chinese), 1990, 18(3): 1–7.
CHEN Mian-yun. An SCGM(1,h)c model and grey forecasting modal control[J]. Jounral of Huazhong Univ of Sci & Tech (in Chinese), 1993, 21(3): 47–52.
CHEN Mian-yun, YIN Ping-jin, XIONG Hui. 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 (in Chinese), 1993, 21(3): 42–46.
YIN Hui, CHEN Yong-qi, ZHANG Yan. Multi-point deformation prediction model with poor data information and its application[J]. Acta Geodaetica et Cartographic Sinica (in Chinese), 1997, 26(4): 365–372.
YIN Hui, WANG Shang-qing. Multi-point spatial nonlinear model based on grey correlation clustering and its application[J]. Jounral of Wuhan Tech Univ of Surveying and Mapping (in Chinese), 1998, 23(2): 101–104.
QU Jun, FENG Ying-jun, SHENG Jian-min. GM(1,2) model with time-lag and its application[J]. System Engineering (in Chinese), 1996, 14(6): 66–68.
XIONG He-jin, XIONG Ying-fei, CHEN Mian-yun, et al. On the extensions of the grey forecasting model SCGM(1,h)c[J]. Jounral of Huazhong Univ of Sci & Tech (in Chinese), 1999, 27(1): 1–3.
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Foundation item: The National Natural Science Foundation of China(No. 49774209)
Biography of the first author: LI Zhi-wei, doctoral student, born in Aug. 1974, majoring in surveying data processing, synthetic aperture radar interferometry.
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Li, Zw., Li, T., Zhu, Jj. et al. SCGM(1,m)c model with time-lag and its application in deformation analysis. J Cent. South Univ. Technol. 8, 40–44 (2001). https://doi.org/10.1007/s11771-001-0022-7
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DOI: https://doi.org/10.1007/s11771-001-0022-7