Grey prediction in linear programming problems

The purpose of this paper is describes the use of grey pridiction in linear programming problems. Some definitions and concepts of grey system theory are introduced and then, we introduced GM(1,1) and fractional order accumulation into grey model. Due to the fluctuation of prices and the lack of certainty data in the market, optimal production was calculated to optimize the profit from sales using the grey prediction. The use of grey prediction models will be very useful in optimization problems and can provide decision-makers with an acceptable level. Prediction of the profit or cost of goods and services given the fluctuation of prices and, in some cases, the deficiency of data needed to make a decision can accurately reflect the power of predictive grey that uses very small data.