On multi-index assignment polytopes
نویسندگان
چکیده
منابع مشابه
An Integrated Solver for Multi-index Assignment
We study the axial and planar multi-index assignment problem under the lens of the (k,s)-Assignment problem, i.e., a framework that encompasses all assignment structures. Taking advantage of the complementary strengths of approaches to optimization, we develop for the problem at hand an integrated solver that offers, constraint propagation, problemspecific cuts, SoS-I branching and a new varian...
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A new index for convex polytopes is introduced. It is a vector whose length is the dimension of the linear span of the flag vectors of polytopes. The existence of this index is equivalent to the generalized Dehn-Sommerville equations. It can be computed via a shelling of the polytope. The ranks of the middle perversity intersection homology of the associated toric variety are computed from the ...
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Linear Programming based lower bounds have been considered both for the general as well as for the symmetric quadratic assignment problem several times in the recent years. Their quality has turned out to be quite good in practice. Investigations of the polytopes underlying the corresponding integer linear programming formulations (the non-symmetric and the symmetric quadratic assignment polyto...
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We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension two we show that they arise from reflexive polygons via a change of the underlying lattice. This allows us to efficiently classify all isomorphism classes of l-reflexive polygons up to index 200. As another ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2006
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.11.009