A choice of bilevel linear programming solving parameters: factoraggregation approach

DOI

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.

Copyright

© 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/).

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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  - 10.2991/eusflat.2013.74
ID  - Orlovs2013/08
ER  -