Research on unbiased GM (1,1) and its Optimization

In this paper, we define two new unbiased GM (1, 1) models for the selection of initial conditions: starting-point fixed unbiased GM (1,1) (SUGM (1,1))and ending-point fixed unbiased GM (1, 1) (EUGM (1,1)), which are based on the unbiased GM (1, 1) regarding the 1-th and the n-th vector as the initial condition. Then it gave initial condition an amendment item respectively and carried out an optimization on the above two models and solved out the parameter of admendment item. Finally, the feasibility and the practicality of the model is proved by a real project.