A choice of bilevel linear programming solving parameters: factoraggregation approach
- https://doi.org/10.2991/eusflat.2013.74How to use a DOI?
- General aggregation operator multi-objective linear programming problem bilevel linear programming problem
Our paper deals with the problem of choosing correct parameters for the bilevel linear programming solving algorithm proposed by M. Sakawa and I.~Nishizaki. We suggest an approach based on factoraggregation, which is a specially designed general aggregation operator. The idea of factoraggregation arises from factorization by the equivalence relation generated by the upper level objective function. We prove several important properties of the factoraggregation result regarding the analysis of parameters in order to find an optimal solution for the problem. We illustrate the proposed method with some numerical and graphical examples, in particular we consider a modification of the mixed production planning problem.
- © 2013, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Pavels Orlovs AU - Olga Montvida AU - Svetlana Asmuss PY - 2013/08 DA - 2013/08 TI - A choice of bilevel linear programming solving parameters: factoraggregation approach BT - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 529 EP - 536 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.74 DO - https://doi.org/10.2991/eusflat.2013.74 ID - Orlovs2013/08 ER -