Integer quadratic quasi-polyhedra

Letchford, A N (2010) Integer quadratic quasi-polyhedra. In: Integer Programming and Combinatorial Optimization : Proceedings of the 14th International IPCO Conference. Lecture Notes in Computer Science . Springer, CHE, pp. 258-270.

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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.

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?? mixed-integer nonlinear programmingmanagement sciencediscipline-based research ??
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11 Jul 2011 20:14
Last Modified:
16 Jul 2024 02:25