线性规划方法在计算机绘制优势区相图中的应用

根据优势区相图中物质的稳定区是由一线性不等式组的解确定,且呈凸多边形这一性质,本文提出了引入一组恰当的目标函数,与线性不等式组组成线性规划问题,由其解可确定凸多边形的顶点,从而获得优势区相图的方法。并编制了FORTRAN语言通用程序,在M-150机上通过运算,所得结果与文献相符。本方法具有数学模型明确、可靠,物理概念清楚,通用性强,准确性高,运算速度较快等优点。

The Application of the Method of Linear Programming on Computer Calculation of Phase Diagram of the Area of Predominance

According to the thermodynamic and mathematical properties that the stable area of the substance in the phase diagram of the area of predominance is defined by the solution of linear inequalities and it's geometrical shape is convex polygen, the new computer algorithm of the calculation for the phase diagram of the area of predominance is developed in this paper by the solutions of the problems of linear programming that is made by introducing a series of optimum functions to the linear inequalities. The FORTRAN program has been made by the use of the Revised Simplex Method that is used for computer to solve the problems of linear programming. The results cal- Ciliated by this method is correspond to the papers published. The method has the following advantages, such as has definit, clear and reliabl e mathematical model; clear physical concept; appropriate for common use; high accurate in results and more convienent to the very complex systems.