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arXiv · 1803.05546

Geometric duality and parametric duality for multiple objective linear programs are equivalent

Daniel Dörfler·Andreas Löhne
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Abstract

In 2011, Luc introduced parametric duality for multiple objective linear programs. He showed that geometric duality, introduced in 2008 by Heyde and L\"ohne, is a consequence of parametric duality. We show the converse statement: parametric duality can be derived from geometric duality. We point out that an easy geometric transformation embodies the relationship between both duality theories. The advantages of each theory are discussed.

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Daniel Dörfler, Andreas Löhne. 2018-03-15. Geometric duality and parametric duality for multiple objective linear programs are equivalent. https://arxiv.org/abs/1803.05546

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