Integer quadratic quasi-polyhedra

Letchford, A N (2010) Integer quadratic quasi-polyhedra. In: Integer Programming and Combinatorial Optimization. Lecture Notes in Computer Science . Springer, CHE, pp. 258-270.

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Abstract

This paper introduces two fundamental families of `quasi-polyhedra' (polyhedra with a countably infinite number of facets) that arise in the context of integer quadratic programming. It is shown that any integer quadratic program can be reduced to the minimisation of a linear function over a quasi-polyhedron in the first family. Some fundamental properties of the quasi-polyhedra are derived, along with connections to some other well-studied convex sets. Several classes of facet-inducing inequalities are also derived. Finally, extensions to the mixed-integer case are briefly examined.

Item Type:
Contribution in Book/Report/Proceedings
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
47287
Deposited By:
Deposited On:
11 Jul 2011 20:14
Refereed?:
Yes
Published?:
Published
Last Modified:
12 Aug 2020 10:40