Int. J. Nat. Soc. Sci., Research Report
Web Release Date: Dec. 14, 2009

Copyright © 2008-2009 International Association of Natural and Social Science

Initial condition’s optimization on GM (1, 1)

Bo Zeng* and Si-feng Liu

29 Yudao St.,Nanjing 210016,China ; Tel No.18913908849; E-mail: zbljh2@163.com

Received Jul. 9, 2009      

Abstract:

A conventional GM (1, 1) model solves grey differential equations through the first data of a raw sequence, and it has an effect on the precision of simulation and prediction. According to the principle of minimal information in grey system theory, this paper proposes an initial condition optimal approach of GM (1, 1) model based on the minimal square sum on simulation error, The data relation between initial value and raw sequence is constructed through building a nonrestraint linear programming model on the basis of simulation error and initial value, and this paper also gives a calculation formula of initial value. Finally, an example demonstrates the validity and practicability of this approach.

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