A study of the quadratic semi-assignment polytope
نویسندگان
چکیده
منابع مشابه
The quadratic assignment polytope
We study the quadratic assignment problem (with n variables) from a polyhedral point of view by considering the quadratic assignment polytope that is defined as the convex hull of the solutions of the linearized problem (with n + 2 n 2 n −1 ( ) variables). We give the dimension of the polytope and a minimal description of its affine hull. We also propose a family of facets with a separation alg...
متن کاملMATHEMATICAL ENGINEERING TECHNICAL REPORTS The Symmetric Quadratic Semi-Assignment Polytope
We deal with quadratic semi-assignment problems with symmetric distances. This symmetry reduces the number of variables in its mixed integer programming formulation. We investigate a polytope arising from the problem, and obtain some basic polyhedral properties, the dimension, the affine hull and certain facets through an isomorphic projection. We also present a nontrivial class of facets. Comp...
متن کاملMATHEMATICAL ENGINEERING TECHNICAL REPORTS The Quadratic Semi-Assignment Polytope
We study a polytope which arises from a mixed integer programming formulation of the quadratic semi-assignment problem. We introduce an isomorphic projection in order to transform the polytope to another essentially equivalent and tractable polytope. As a result, some basic polyhedral properties, such as the dimension, the affine hull, and the trivial facets, are obtained in quite a simple way....
متن کاملSemi Quadratic Assignment Problem
Changing the QAP's hard definition such that the facilities M are allowed to be mapped by a (single-valued, not necessarily injective) function π into the set of possible locations Y subject to a relation Π, π ⊆ Π, it arises the Semi-QAP that might be regarded as a relaxation of the QAP. In contrast to the Tree-QAP (flow graph F is a tree) the corresponding Semi-Tree-QAP is solvable in polynomi...
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ژورنال
عنوان ژورنال: Discrete Optimization
سال: 2009
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2008.08.003