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  • 标题:On solving uncooperative linear bilevel multi-follower programming problems
  • 本地全文:下载
  • 作者:Fatemeh Moslemi ; Habibeh Sadeghi
  • 期刊名称:Pakistan Journal of Statistics and Operation Research
  • 印刷版ISSN:2220-5810
  • 出版年度:2022
  • 卷号:18
  • 期号:1
  • 页码:1-12
  • DOI:10.18187/pjsor.v18i1.3261
  • 语种:English
  • 出版社:College of Statistical and Actuarial Sciences
  • 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 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.
  • 关键词:Biloevel programming; Efficient set; Multi-follower programming; Multi-objective programming
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