关键词: 线性规划, 单纯形法, 大M法, 两阶段法

Abstract: Improved big-M method is presented. If expressions of the calculated test number contain M, the only portion containing M is calculated, and thereby the calculation is simplified. And when artificial variables become nonbasic variables by basic variables in the iterative calculation process, the artificial variables parts of the table can be directly removed and then the calculation is continued. Thus, the amount of computation is again reduced. Taking advantages of two-phase method, an iteration algorithm without giving the big M is further given. This method does not undermine the consistency of the objective function, and the calculation error can be avoided when using traditional big-M method combined with computer to solve, due to the improper selection of the value of M.

Key words: linear programming, simplex method, big-M method, two-phase method