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

共 27 条

[1] An extended branch and bound algorithm for bilevel multi-follower decision making in a referential-uncooperative situation
Lu, Jie
Shi, Chenggen
Zhang, Guangquan
Da Ruan
[J]. INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING, 2007, 6 (02) : 371 - 388
[2] An extended kth-best approach for referential-uncooperative bilevel multi-follower decision making
Zhang G.
Shi C.
Lu J.
[J]. International Journal of Computational Intelligence Systems, 2008, 1 (03) : 205 - 214
[3] AN EXTENDED KTH-BEST APPROACH FOR REFERENTIAL-UNCOOPERATIVE BILEVEL MULTI-FOLLOWER DECISION MAKING
Zhang, Guangquan
Shi, Chenggen
Lu, Jie
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2008, 1 (03): : 205 - 214
[4] Model and extended Kuhn–Tucker approach for bilevel multi-follower decision making in a referential-uncooperative situation
Jie Lu
Chenggen Shi
Guangquan Zhang
Tharam Dillon
[J]. Journal of Global Optimization, 2007, 38 : 597 - 608
[5] Model and extended Kuhn-Tucker approach for bilevel multi-follower decision making in a referential-uncooperative situation
Lu, Jie
Shi, Chenggen
Zhang, Guangquan
Dillon, Tharam
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2007, 38 (04) : 597 - 608
[6] A fuzzy interactive decision making algorithm for bilevel multi-followers programming with partial shared variables among followers
Wang, Guangmin
Wang, Xianjia
Wan, Zhongping
[J]. EXPERT SYSTEMS WITH APPLICATIONS, 2009, 36 (07) : 10471 - 10474
[7] APPLICATION OF MULTI ATTRIBUTE DECISION MAKING METHODS TO RESOURCES ALLOCATION PROBLEMS
Mianabadi, Hojjat
van de Giesen, Nick
Mostert, Erik
Sheikhmohammady, Majid
[J]. 12TH INTERNATIONAL MULTIDISCIPLINARY SCIENTIFIC GEOCONFERENCE, SGEM 2012, VOL. IV, 2012, : 861 - +
[8] Application of AMOGWO in Multi-Objective Optimal Allocation of Water Resources in Handan, China
Li, Su
Yan, Zhihong
Sha, Jinxia
Gao, Jing
Han, Bingqing
Liu, Bin
Xu, Dan
Chang, Yifan
Han, Yuhang
Xu, Zhiheng
Sun, Bolun
[J]. WATER, 2022, 14 (01)
[9] An Application of Water Resources Optimal Allocation Model for Multi-Objectives in an Arid Region
Su, Fei
Dong, Zeng chuan
Chaolun, Bagen
[J]. PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL I: MODELLING AND SIMULATION IN SCIENCE AND TECHNOLOGY, 2008, : 394 - 398
[10] Study on Decision-making Alternatives Evaluation System of Optimal Allocation of Water Resources Based on GIS
Wang, Ziru
Long, Tian
Niu, Yunge
[J]. World Environmental and Water Resources Congress 2015: Floods, Droughts, and Ecosystems, 2015, : 625 - 633

← 1 2 3 →