Přehled o publikaci
2021
A Note on Homogeneous Linear Programming
BARTL, DavidBasic information
Original name
A Note on Homogeneous Linear Programming
Authors
BARTL, David
Edition
Karviná, The 3rd International Conference on Decision Making for Small and Medium-Sized Enterprises, p. 61-70, 10 pp. 2021
Publisher
Silesian University in Opava, School of Business Administration in Karviná
Other information
Language
English
Type of outcome
Proceedings paper
Country of publisher
Czech Republic
Confidentiality degree
is not subject to a state or trade secret
Publication form
printed version "print"
Marked to be transferred to RIV
Yes
RIV identification code
RIV/47813059:19520/21:A0000186
Organization
Obchodně podnikatelská fakulta v Karviné – Slezská univerzita v Opavě – Repository
ISBN
978-80-7510-456-4
Keywords in English
homogeneous linear programming; strong duality theorem; failure mode and effects analysis
Links
GA21-03085S, research and development project.
Changed: 3/12/2023 03:37, Bc. Ivana Glabazňová
Abstract
In the original language
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.
