Augmentation approaches for Mixed Integer Programming

Justo Puerto; Jose A. Ruiz-Alba

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arXiv · 2507.08525

Augmentation approaches for Mixed Integer Programming

Justo Puerto·Jose A. Ruiz-Alba

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Abstract

This paper analyses the feasible sets structure of general mixed integer linear programs (MIPs) and its relationship with the existence of a finite cardinality test set which can be applied in augmentation algorithms. We derive and characterize a computable, finite test set for MIPs which can be embedded in a finite augmentation algorithm. Several examples illustrate the structure of this set and its relationship with previous approaches in the literature.

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Justo Puerto, Jose A. Ruiz-Alba. 2025-07-11. Augmentation approaches for Mixed Integer Programming. https://arxiv.org/abs/2507.08525

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