Tropical analogues of a Dempe-Franke bilevel optimization problem
Optimization and Control
2019-03-26 v1
Abstract
We consider the tropical analogues of a particular bilevel optimization problem studied by Dempe and Franke and suggest some methods of solving these new tropical bilevel optimization problems. In particular, it is found that the algorithm developed by Dempe and Franke can be formulated and its validity can be proved in a more general setting, which includes the tropical bilevel optimization problems in question. We also show how the feasible set can be decomposed into a finite number of tropical polyhedra, to which the tropical linear programming solvers can be applied.
Keywords
Cite
@article{arxiv.1902.10055,
title = {Tropical analogues of a Dempe-Franke bilevel optimization problem},
author = {Sergei Sergeev and Zhengliang Liu},
journal= {arXiv preprint arXiv:1902.10055},
year = {2019}
}
Comments
11 pages, 1 figure