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Linear programming with vector coefficients in the constraints

##article.authors##

  • Somdeb Lahiri (Formerly) PD Energy University (EU-G)

DOI:

https://doi.org/10.31224/4135

Keywords:

linear programming, vector coefficients, duality theory, Farkas’ lemma

Abstract

We provide a model of linear programming in which all the parameters of the constraints are vectors. We define the dual of the problem and obtain a necessary and sufficient condition for an optimal solution. We also prove the analogous version of Farkas’ lemma in this more general framework.

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Posted

2024-11-20 — Updated on 2025-07-05

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Copyright (c) 2024 Somdeb Lahiri

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Version justification

A more readable version.