摘要
定义了区间线性规划的标准型.研究求解标准型区间线性规划的最好最优值和最差最优值,从而确定其最优值区间.分别对区间目标函数、区间不等式约束和区间等式约束作了讨论.基于此分别构造了求解区间线性规划最好最优值和最差最优值的确定型线性规划模型.最后给出一个算例并对一些特殊情况作了补充说明.
A standard form of interval linear programming was defined. The solution of the best optimal objective value and the worst optimal objective value of the standard form was studied. Interval objective function, interval inequality constraints and interval equality constraints were discussed separately. By this way, exact linear programming to find the best and the worst optimal objective value of IvLP can be built. Finally an example was given and some complementary comments were made.
出处
《管理科学学报》
CSSCI
2004年第3期59-63,共5页
Journal of Management Sciences in China
基金
天津大学管理学院青年教师科研基金资助项目.
关键词
区间线性规划
标准型
最好最优值
最差最优值
最优值区间
interval linear programming (IvLP)
standard form
best optimal objective value
worst optimal objective value
optimal objective interval value
