Publication

Network Formulations of Mixed-Integer Programs

Friedrich Eisenbrand, Marco Di Summa
2009
Journal paper

Abstract

We consider mixed-integer sets described by system of linear inequalities in which the constraint matrix A is totally unimodular; the right-hand side is arbitrary vector; and a subset of the variables is required to be integer. We show that the problem of checking nonemptiness of a set of this type is NP-complete, even in the case in which the linear system describes mixed-integer network flows with half-integral requirement on the nodes.

Official source

https://infoscience.epfl.ch/record/161332?ln=en

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Network Formulations of Mixed-Integer Programs

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