On solving uncooperative linear bilevel multi-follower programming problems

被引：1
|
作者：
Moslemi, Fatemeh [1 ]
Sadeghi, Habibe [1 ]
机构：
[1] Shahid Chamran Univ Ahvaz, Fac Math Sci & Comp, Dept Math, Ahvaz, Iran
来源：
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2022年 / 18卷 / 01期
关键词：
Bilevel programming; Efficient set; Multi-follower programming; Multi-objective programming; EFFICIENT SET; OPTIMIZATION; ALGORITHM;
D O I：
10.18187/pjsor.v18i1.3261
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The relationship between the reference-uncooperative linear bilevel two-follower decision making and the multi objective decision making has been recently considered (Sadeghi and Moslemi, 2019). In this paper, we address the foregoing relation for the uncooperative linear bilevel multi-follower programming (ULBMFP) model with k >= 2 followers. Furthermore, we consider some geometric properties of the feasible solutions set of the ULBMFP problem. Moreover, an algorithm to find an optimal solution for the ULBMFP problem was proposed. Ultimately, some numerical examples to illustrate the proposed algorithm were provided.
引用
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页码：1 / 12
页数：12
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