PESSIMISTIC REFERENTIAL-UNCOOPERATIVE LINEAR BILEVEL MULTI-FOLLOWERS DECISION MAKING WITH APPLICATION TO WATER RESOURCES OPTIMAL ALLOCATION

被引：0

作者：

Zheng, Yue ^{[1
]}

Wan, Zhongping ^{[2
]}

Chen, Jiawei ^{[3
]}

机构：

[1] Huaibei Normal Univ, Sch Econ & Managenment, Huaibei 235000, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[3] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2022年 / 18卷 / 04期

关键词：

bilevel programming; pessimistic formulation; multiple followers; penalty function; PROGRAMMING-PROBLEMS; WEAK; EXISTENCE; MODEL;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, a pessimistic linear bilevel multi-followers programming problem in a referential-uncooperative situation (for short, PLBMF-RU) is presented where the followers are uncooperative while having cross reference to decision making information of the other followers. The model and the solution definitions of PLBMF-RU is first presented. Then, a simple example is developed to illustrate it. Further-more, the penalized problems are proposed based on the penalty function method to solve PLBMF-RU. Finally, a case study of water resources optimal allocation illustrates the feasibility of the proposed model. This may provide a new way to discuss the pessimistic linear bilevel multi-followers programming problem in a referential-uncooperative situation.

引用

页码：867 / 881

页数：15

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