Abstract
A novel grey Bass model with a power exponent (Grey Bass Power Model) was proposed, and the related parameter-packets of the model were deduced. A nonlinear programming method was employed to optimize the grey parameters and improve the accuracy of the grey Bass model. The results show that GM(1,1) model, GPM (1,1) model, grey Verhulst model and grey Bass model are the special examples of grey Bass power model. The actual example of product diffusion shows the modelling accuracy has been remarkably improved by using the new model.
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