Pakistan Journal of Statistics and Operation Research, pages 1-12
On solving uncooperative linear bilevel multi-follower programming problems
Moslemi F., Sadeghi H.
Publication type: Journal Article
Publication date: 2022-03-01
scimago Q2
SJR: 0.473
CiteScore: 3.3
Impact factor: 1.1
ISSN: 18162711, 22205810
Statistics and Probability
Statistics, Probability and Uncertainty
Modeling and Simulation
Management Science and Operations Research
Abstract
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.
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