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On packing and covering polyhedra in infinite dimensions

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2016 English Publisher:Elsevier BVJournal:Operations Research Letters, volume 44, pages 225-230 (issn: 0167-6377, Copyright policy )Funded by:NSF | CAREER: Transforming data..., NSF | AF: Small: Geometry and H...
Authors: Rademacher, Luis; Toriello, Alejandro; Vielma Centeno, Juan Pablo;

doi: 10.1016/j.orl.2016.01.005

handle: 1721.1/114829

On packing and covering polyhedra in infinite dimensions

Abstract

We consider the natural generalizations of packing and covering polyhedra in infinite dimensions, and study issues related to duality and integrality of extreme points for these sets. Using appropriate finite truncations we give conditions under which complementary slackness holds for primal/dual pairs of the infinite linear programming problems associated with infinite packing and covering polyhedra. We also give conditions under which the extreme points are integral. We illustrate an application of our results on an infinite-horizon lot-sizing problem.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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