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不确定条件下环境友好型资源分配二层规划模型

周晓阳 涂燕 韩菁

运筹与管理2018,Vol.27Issue(5):15-21,7.
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

周晓阳 1涂燕 2韩菁3

作者信息

  • 1. 西安电子科技大学 经济与管理学院,陕西 西安 710126
  • 2. 武汉理工大学 管理学院,湖北 武汉 430070
  • 3. 陕西师范大学国际商学院,陕西 西安 710119
  • 折叠

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)

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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