Construction and application of optimized GM(1, 1) power model incorporating self-memory principle

被引:1
作者
Guo, Xiao-Jun [1 ,2 ]
Liu, Si-Feng [2 ]
Fang, Zhi-Geng [2 ]
Wu, Li-Feng [2 ]
机构
[1] School of Science, Nantong University, Nantong
[2] College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing
来源
Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics | 2015年 / 37卷 / 01期
关键词
Enrolment rate; GM(1; 1) power model; Grey system; Self-memory principle;
D O I
10.3969/j.issn.1001-506X.2015.01.19
中图分类号
学科分类号
摘要
As for the fluctuating sequences characterized by saturated condition or single-peak, whose development and variation are subject to multi-faceted factors, the coupling prediction model combining the self-memory principle and the optimized GM(1, 1) power model has been constructed based on the grey GM(1, 1) power model in order to improve prediction accuracy. The traditional grey model's weakness as being sensitive to the initial value can been overcomed by the self-memory principle of dynamic system. The results indicate that the newly-established model can take full advantage of the systematic multi-time historical data. It extends the grey model's application span, which possesses higher accuracy of simulation and forecast than the traditional optimized GM(1, 1) power model. Finally, the superiority and effectiveness of this proposed model have been proved by the case of Chinese senior high school students' enrolment rate into higher education institutions. ©, 2015, Chinese Institute of Electronics. All right reserved.
引用
收藏
页码:117 / 122
页数:5
相关论文
共 18 条
  • [11] Wang Z.X., Dang Y.G., Lian Z.W., Unbiased GM(1, 1) power model and its application, Chinese Journal of Management Science, 19, 4, pp. 144-151, (2011)
  • [12] Wang Z.X., Dang Y.G., Zhao J.J., Optimized GM(1, 1) power model and its application, Systems Engineering-Theory & Practice, 32, 9, pp. 1973-1978, (2012)
  • [13] Cao H.X., Self-memory equation for atmosphere motion, Science in China (Series B): Chemistry, 36, 7, pp. 845-855, (1993)
  • [14] Phienwej N., Thepparak S., Giao P.H., Prediction of differential settlement of buildings induced by land subsidence from deep well pumping, Geotechnical Engineering, 36, 1, pp. 69-75, (2005)
  • [15] Gu X.Q., You X.T., Zhu H., Et al., Numerical tests of efficiency of the retrospective time integration scheme in the self-memory model, Progress in Natural Science, 14, 9, pp. 833-836, (2004)
  • [16] Wang W., Su J.Y., Hou B.W., Et al., Dynamic prediction of building subsidence deformation with data-based mechanistic self-memory model, Chinese Science Bulletin, 57, 26, pp. 3430-3435, (2012)
  • [17] Fan X.H., Zhang Y., A novel self-memory grey model, Systems Engineering-Theory & Practice, 23, 8, (2003)
  • [18] Chen X.D., Xia J., Xu Q., Differential hydrological grey model (DHGM) with self-memory function and its application to flood forecasting, Science in China (Series E): Technological Sciences, 52, 4, pp. 1039-1049, (2009)