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| dc.contributor.author | Zewde, Addis Belete | |
| dc.contributor.author | Kassa, Semu Mitiku | |
| dc.date.accessioned | 2022-05-03T10:48:49Z | |
| dc.date.available | 2022-05-03T10:48:49Z | |
| dc.date.issued | 2021-09-18 | |
| dc.identifier.citation | Zewde., A. B, and Kassa., S. M. (2021) Hierarchical multilevel optimization with multiple-leaders multiple-followers setting and nonseparable objectives. RAIRO - Operations Research, 55 (5), 2915-2939. https://doi.org/10.1051/ro/2021146 | en_US |
| dc.identifier.issn | 1290-3868 | |
| dc.identifier.uri | http://repository.biust.ac.bw/handle/123456789/436 | |
| dc.description.abstract | Hierarchical multilevel multi-leader multi-follower problems are non-cooperative decision problems in which multiple decision-makers of equal status in the upper-level and multiple decision makers of equal status are involved at each of the lower-levels of the hierarchy. Much of solution methods proposed so far on the topic are either model specific which may work only for a particular sub-class of problems or are based on some strong assumptions and only for two level cases. In this paper, we have considered hierarchical multilevel multi-leader multi-follower problems in which the objective functions contain separable and non-separable terms (but the non-separable terms can be written as a factor of two functions, a function which depends on other level decision variables and a function which is common to all objectives across the same level) and shared constraint. We have proposed a solution algorithm to such problems by equivalent reformulation as a hierarchical multilevel problem involving single decision maker at all levels of the hierarchy. Then, we applied a multi-parametric algorithm to solve the resulting single leader single followers problem. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | EDP Sciences | en_US |
| dc.subject | Hierarchical game | en_US |
| dc.subject | Multi-leader multi-follower | en_US |
| dc.subject | Stackelberg game | en_US |
| dc.subject | Nash game | en_US |
| dc.subject | Equivalent reformulation | en_US |
| dc.subject | multiparametric algorithm | en_US |
| dc.title | Hierarchical multilevel optimization with multiple-leaders multiple-followers setting and nonseparable objectives | en_US |
| dc.description.level | phd | en_US |
| dc.description.accessibility | unrestricted | en_US |
| dc.description.department | mss | en_US |
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