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 Vol. 40; no. 8; pp. 924 - 943
Main Authors: Khanh, Pham Duy, Mo, Tran Hong, Tran, Trinh T. T.
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 11.06.2019
Taylor & Francis Ltd
Subjects:
Closedness
complementary slackness
dual pair
duality
Economic models
infinite dimensional linear programing
Linear programming
separation theorem
solvability
ISSN:0163-0563, 1532-2467
Online Access:Get full text
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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.
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content type line 14
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2019.1566244