Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

A choice of bilevel linear programming solving parameters: factoraggregation approach

Authors
Pavels Orlovs, Olga Montvida, Svetlana Asmuss
Corresponding Author
Pavels Orlovs
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.74How to use a DOI?
Keywords
General aggregation operator multi-objective linear programming problem bilevel linear programming problem
Abstract
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.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.74How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

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  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
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  -