摘要
采用区间数可信度方法,给出区间双层线性规划问题可行域和最优解的概念,并利用单层与双层规划最优值区间方法和极大极小算子,构建区间双层线性规划问题的确定等价模型.数值算例结果表明该方法有效.
Using the credibility method for interval numbers,the author gave the concepts of the feasible region and the optimal solution for the interval bilevel linear programming problem.By means of the optimal value interval methods of single level and bilevel programming as well as max-min operator,the author constructed a deterministic equivalent model for the interval bilevel linear programming problem.A numerical example result show that the method is effective.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2018年第2期268-272,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:61602010)
陕西省自然科学基础研究计划项目(批准号:2017JQ6046)
陕西省教育厅专项科研计划项目(批准号:17JK0047)
关键词
双层规划
区间数
区间双层规划
可信度
bilevel programming
interval number
interval bilevel programming
credibility