区间数线性规划问题的解法

摘要

基于区间数与实数之间的关系,提出了区间数线性规划的激进最优解,保守最优解的定义.利用约束集之间以及目标函数值之间的关系,在原有区间数线性规划的基础之上,给出了两个求解激进最优解、保守最优解的方法.数值例子验证了该方法的有效性和可行性.%By introducing the relation between the interval number and real number,the concepts of the conservative solution and the radical optimal solution of the interval number.Taking use of relation between constraint sets and it between objective function values,two optimal solution of the radical,conservative optimal solution method is presented in the original basis of linear programming.A numerical example is shown to demonstrate the effectiveness and feasibility of the technique.