The New Non-Equidistant Optimum GM(1,1) with Modified the nth Components Taken as Initial Value and Its Application Research to Metal Cutting

Based on grey system theory, a new kind of nonequidistant optimum grey model GM(1,1) with optimizing modified the nth components taken as initial value of response function of grey differential equation and the background value to test data process was proposed, the method of precision inspection was introduced. The example was given. The method can be used for model establishing on equal interval, as well as on non-interval. Moreover, GM(1,1) model´s fitting precision and prediction is advanced and the scope of application is enlarged. The model is simple and practical, and has a generalizing value in metal cutting data process.