## 多目标线性规划的求解方法及其在数学软件中的实现

Solving Methods of the Multi-objective Linear Programming and Its
Realization in the Mathematical Software
Abstract：Solving the multi-objective linear programming is typically used the methods that the multi-objective problem is converted to a single objective one. In this paper, the solving methods of the multi-objective linear programming problem are summarized at first. The basic solutions for the multi-objective linear programming mainly have linear weighted sum method, ideal point method, fuzzy mathematics method, hierarchical sequence method and simplex method. Finally, some examples are analyzed according to these methods, and are realized by the mathematical software MATLAB.
Key words：Multi-objective linear programming；MATLAB；Multi-objective linear programming to solve

1. 多目标线性规划问题    3
2. 多目标线性规划的求解方法以及在MATLAB中的实现    4
2.1 线性加权和法    4
2.2 理想点法    5
2.3 模糊数学法    7 源￥自%六^^维*论-文+网=www.lwfree.cn
2.4 层次序列法    8
2.5 单纯形法    10
3. 结论    15

------分隔线----------------------------