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2005

Projection, Lifting and Extended Formulation in Integer and Combinatorial Optimization

9 years 11 months ago
Projection, Lifting and Extended Formulation in Integer and Combinatorial Optimization
Abstract. This is an overview of the significance and main uses of projection, lifting and extended formulation in integer and combinatorial optimization. Its first two sections deal with those basic properties of projection that make it such an effective and useful bridge between problem formulations in different spaces, i.e. different sets of variables. They discuss topics like projection and restriction, the integrality-preserving property of projection, the dimension of projected polyhedra, conditions for facets of a polyhedron to project into facets of its projections, and so on. The next two sections describe the use of projection for comparing the strength of different formulations of the same problem, and for proving the integrality of polyhedra by using extended formulations or lifting. Section 5 deals with disjunctive programming, or optimization over unions of polyhedra, whose most important incarnation are mixed 0-1 programs and their partial relaxations. It discusses the c...
Egon Balas
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2005
Where ANOR
Authors Egon Balas
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