基于灰色理论的线性规划问题的对偶问题研究

Research on Dual Problem of Linear Programming Based on the Grey Theory

将灰色理论与线性规划问题的建模原理、方法相结合,建立基于灰色理论的线性规划模型,在分析研究对偶线性规划问题及建模原理的基础上,借助于集合论及经典线性规划的对偶理论,探讨了基于灰色理论的线性规划问题的对偶问题,建立了基于灰色理论的线性规划问题的对偶问题模型.

By combining the grey theory with the principle and method of linear programming problem, the linear programming model is established based on the grey theory. On the basis of analysis and study of dual linear programming problem and its modeling principle,and with the help of set theory and dual theory of classical linear programming, the dual problem of the linear programming based on the grey theory is probed and the dual problem model is set up.