Detailed Information on Publication Record

@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, p.~61-70. ISBN~978-80-7510-456-4.