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On decomposability of the multilinear polytope and its implications in mixed-integer nonlinear optimization

Alberto Del Pia(delpia***at***wisc.edu)
Aida Khajavirad(aida***at***cmu.edu)

Abstract: In this article, we provide an overview of some of our recent results on the facial structure of the multilinear polytope with a special focus on its decomposability properties. Namely, we demonstrate that, in the context of mixed-integer nonlinear optimization, the decomposability of the multilinear polytope plays a key role from both theoretical and algorithmic viewpoints.

Keywords: Multilinear polytope, Decomposition, Hypergraph acyclicity, Mixed-integer nonlinear optimization

Category 1: Integer Programming ((Mixed) Integer Nonlinear Programming )

Category 2: Integer Programming (0-1 Programming )

Category 3: Global Optimization (Theory )

Citation: To appear in INFORMS OS Today

Download: [PDF]

Entry Submitted: 05/17/2018
Entry Accepted: 05/17/2018
Entry Last Modified: 05/17/2018

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