Supply Chain Safety Stock Quantity´s Fractal Forecast and Study

Safety stock, a very important composing of the stock management, which is significant for reducing the cost and increasing interests for an enterprise, is the base of the setting of enterprise´s stocks, so it is crucial for stock management to presume a rational and exact SS. In this paper, introducing fractal theory, a new method based on the fractal collage theorem and the iterative process of fractal interpolation functions was proposed to forecast the safety stock. Based on the fractal collage theorem, it uses the iterated function system whose attractor is close to the historical data to establish the fractional function, and set the forecasting model proposed according to the iterative process of fractional function. Then by an example the rationality and reliability of this method is verified, and the result show that it is helpful indeed to set the reasonable safety stock for enterprise.