Multi-variable time-delayed discrete grey model

被引：0
|
作者：
Ding S. [1 ]
Dang Y.-G. [1 ]
Xu N. [2 ]
Wei L. [1 ]
Ye J. [1 ]
机构：
[1] College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing
[2] College of Management Science and Engineering, Nanjing Audit University, Nanjing
来源：
Ding, Song (dingsong1129@163.com) | 1997年 / Northeast University卷 / 32期
关键词：
Forecasting; Grey system; Multi-variables; Time delay;
D O I：
10.13195/j.kzyjc.2016.1022
中图分类号：
学科分类号：
摘要：
For the problems of undefined time-delayed mechanism and low accuracy of multi-variable grey models, the deficiency of traditional multi-variable grey model is analyzed and a new multi-variable discrete grey model is proposed by introducing the time-delay coefficient. Then the methods of calculating the parameters are discussed. According to the sufficient and insufficient information about the time-delay coefficient, empirical analysis and particle swarm optimization algorithms are used to explore the estimation of time-delay coefficient, and the modeling procedure is proposed. Finally, the effectiveness of the proposed model is verified by the numerical simulation and actual examples. Results show that the propoved model can the forecasting problems on the multi-variable time-delayed system with small sample data. © 2017, Editorial Office of Control and Decision. All right reserved.
引用
收藏
页码：1997 / 2004
页数：7
相关论文
共 19 条
  • [1] Deng J.L., The control problem of grey systems, System Control Letter, 1, 5, pp. 288-294, (1982)
  • [2] Xiao X.P., Mao S.H., Grey Forecasting and Decision Making Method, (2013)
  • [3] Qiu W.J., Liu S.F., Dispersed structure solve of model GM(1, N), Systems Engineering and Electronics, 28, 11, pp. 1679-1681, (2006)
  • [4] Guo H., Xiao X.P., Forrest J., A research on a comprehensive adaptive grey prediction model CAGM(1, N), Applied Mathematics and Computation, 225, pp. 216-227, (2013)
  • [5] Tien T.L., A research on the grey prediction model GM(1, n), Applied Mathematics and Computation, 218, 9, pp. 4903-4916, (2012)
  • [6] He M.X., Wang Q., New algorithm for GM(1, N) modeling based on Simpson formula, Systems Engineering-Theory & Practice, 33, 1, pp. 199-203, (2013)
  • [7] Wang Z.X., Grey multivariable power model GM(1, N) and its application, Systems Engineering-Theory & Practice, 34, 9, pp. 2357-2363, (2014)
  • [8] Ding S., Dang Y.G., Xu N., TGM(1, N) prediction model based on trends of driving variables, Systems Engineering, 33, 3, pp. 149-153, (2015)
  • [9] Tien T.L., The indirect measurement of tensile strength of material by the grey prediction model GMC(1, N), Measurement Science Technology, 16, 6, pp. 1322-1328, (2005)
  • [10] Tien T.L., The indirect measurement of tensile strength for a higher temperature by the new model IGDMC(1, N), Measurement, 41, 6, pp. 662-675, (2008)
12