Necessary and Sufficient Conditions for Qualitative Properties of Infinite Dimensional Linear Programming Problems

Necessary and sufficient conditions for qualitative properties of infinite dimensional linear programing problems such as solvability, duality, and complementary slackness conditions are studied in this article. As illustrations for the results, we investigate the parametric version of Gale's e...

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Bibliographic Details
Published in:Numerical functional analysis and optimization 2019-06, Vol.40 (8), p.924-943
Main Authors: Khanh, Pham Duy, Mo, Tran Hong, Tran, Trinh T. T.
Format: Article
Language:English
Subjects:
Closedness
complementary slackness
dual pair
duality
Economic models
infinite dimensional linear programing
Linear programming
separation theorem
solvability
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Summary:Necessary and sufficient conditions for qualitative properties of infinite dimensional linear programing problems such as solvability, duality, and complementary slackness conditions are studied in this article. As illustrations for the results, we investigate the parametric version of Gale's example.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2019.1566244