Další formáty:
BibTeX
LaTeX
RIS
@inproceedings{45267,
author = {Bartl, David},
address = {Karviná},
booktitle = {The 3rd International Conference on Decision Making for Small and Medium-Sized Enterprises},
keywords = {homogeneous linear programming; strong duality theorem; failure mode and effects analysis},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Karviná},
isbn = {978-80-7510-456-4},
pages = {61-70},
publisher = {Silesian University in Opava, School of Business Administration in Karviná},
title = {A Note on Homogeneous Linear Programming},
url = {https://www.researchgate.net/publication/353732455_A_Note_on_Homogeneous_Linear_Programming},
year = {2021}
}
TY - JOUR
ID - 45267
AU - Bartl, David
PY - 2021
TI - A Note on Homogeneous Linear Programming
PB - Silesian University in Opava, School of Business Administration in Karviná
CY - Karviná
SN - 9788075104564
KW - homogeneous linear programming
KW - strong duality theorem
KW - failure mode and effects analysis
UR - https://www.researchgate.net/publication/353732455_A_Note_on_Homogeneous_Linear_Programming
N2 - We consider the homogeneous variant of linear programming problems in the setting of a module over a linearly ordered commutative associative ring. We formulate the optimality condition for the primal and for the dual problem; by combining the aforementioned results, we obtain the Strong Duality Theorem for the homogeneous linear programming problems. Albeit the results are based on a general discrete variant of Farkas’ Lemma, which has been published recently, further restrictive assumptions are necessary to prove the results. We also propose a simple application of the results – an extension of the FMEA (Failure Mode and Effects Analysis) method – in business decision making of small and medium-sized enterprises.
ER -
BARTL, David. A Note on Homogeneous Linear Programming. In \textit{The 3rd International Conference on Decision Making for Small and Medium-Sized Enterprises}. Karviná: Silesian University in Opava, School of Business Administration in Karviná, 2021, s.~61-70. ISBN~978-80-7510-456-4.
|
