Linear programming is a powerful optimization technique and an important field in the areas of science, engineering, and business. Large-scale linear programming problems arise in many practical applications, and solving these problems requires an integration of dataanalysis and data-manipulation capabilities. Database technology has become a central component of today’s information systems. Al...

5 Algorithms 8 5.1 Fourier-Motzkin Elimination . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5.2 The Simplex Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5.3 Seidel’s Randomized Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.4 The Ellipsoid Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.5 Using the Ellipsoid...

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 us...