关键词: 资源分配, 不确定条件, 环境友好, 二层规划

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.

Key words: resource allocation, uncertain condition, environmental friendly, bi-level programming