LPGP的漂移与定位解的满意度

On LPGP Drifting and the Degree of Satisfaction of a Positioning Solution

针对灰参数线性规划（ＬＰＧＰ）求解中的困难，提出了ＬＰＧＰ定位求解的新思路及定位规划、理想模型、临界模型等新概念；研究了定位系数变化对定位规划最优解的影响以及定位最优值的变化范围；定义了定位规划的满意度和满意解．从而可将灰参数线性规划问题化为若干个一般线性规划问题。

To counter the difficulty in solving the problem of linear programming with grey parameters (LPGP), a series of new conceptions such as the positioning linear programming, the ideal model, the critical model, and some other new ideas are put forward. The problem of how the optimum solution is affected by the variation of positioning coefficients and the range of the variation of the optimum positioning values are studied. The satisfactory solution for the positioning programming and the degree of satisfaction are defined. Thus, an LPGP problem will be converted into several problems of ordinary linear programming and, to a certain degree, the difficulty in solving LPGP and the appraisal of the solution will be overcome.