Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (4): 715-718.doi: 10.3969/j.issn.1001-506X.2012.04.14

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Discrete GM(1,1) model based on sequence of stepwise ratio

YANG Bao-hua1,2, FANG Zhi-geng1, ZHANG Ke1   

  1. 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016,China； 2. School of Management, Xuzhou Normal University, Xuzhou 221009, China
  • Online:2012-04-25 Published:2010-01-03

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Abstract:

Aiming at the problem that the discrete GM(1,1) simulation sequence does not reflect the dynamic change of the stepwise ratio of original data sequence, through analysing the sequence of stepwise ratio of original data sequence, a new discrete GM(1,1) model is established based on the sequence of the stepwise ratio. Then by using the relationship between original sequence and stepwise ratio,the simulated sequence can be gotten, and the new model reflects the dynamics of stepwise ratio better than the old model. The numerical results show that the new discrete GM(1,1) is better than the discrete GM(1,1) model, in terms of relative error and average relative error of the extent of the changes.

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