运筹与管理2018,Vol.27Issue(5):15-21,7.DOI:10.12005/orms.2018.0106
不确定条件下环境友好型资源分配二层规划模型
Environmental Friendly Bi-level Resource Allocation Programming under Uncertain Condition
摘要
Abstract
In this paper , we discuss the environmental friendly resource allocation problem under the uncertain condition, where the leader is the head office , who allocates the resource properly to maximize the profit and minimize the pollution;the follower is the processing plants , who decide the production amount of every products to get their best profit .In this problem , we suggest that the products'price, the capacity and the cost obey random distribution, and the environment pollution factors are fuzzy variables .Based on the above statement , an uncertain chance constrained bi-level resource allocation model is constructed .In order to make the model solvable , we then convert the uncertain model into the equivalent model , and adopt the interactive satisfied method to transform the bi-level model into a kind of single level model .At last , we use a numerical example to test and verify the feasibility and efficiency of the model and the solution method .Besides , there are confidence levels and satisfied degrees in the models which may affect the result to some extent , hence we also proceed the sensitivity analysis to show the relationship between the result and the confidence levels and satisfied degrees , respectively .关键词
资源分配/不确定条件/环境友好/二层规划Key words
resource allocation/uncertain condition/environmental friendly/bi-level programming分类
管理科学引用本文复制引用
周晓阳,涂燕,韩菁..不确定条件下环境友好型资源分配二层规划模型[J].运筹与管理,2018,27(5):15-21,7.基金项目
国家自然科学基金资助项目(71401093,71403158) (71401093,71403158)