Displaying similar documents to “A new relaxation in conic form for the euclidean Steiner problem in ℜ n ”

A New Relaxation in Conic Form for the Euclidean Steiner Problem in ℜ

Marcia Fampa, Nelson Maculan (2010)

RAIRO - Operations Research

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In this paper, we present a new mathematical programming formulation for the Euclidean Steiner Tree Problem (ESTP) in ℜ. We relax the integrality constrains on this formulation and transform the resulting relaxation, which is convex, but not everywhere differentiable, into a standard convex programming problem in conic form. We consider then an efficient computation of an -optimal solution for this latter problem using interior-point algorithm.

Branch and Cut based on the volume algorithm: Steiner trees in graphs and Max-cut

Francisco Barahona, László Ladányi (2006)

RAIRO - Operations Research

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We present a Branch-and-Cut algorithm where the volume algorithm is applied instead of the traditionally used dual simplex algorithm to the linear programming relaxations in the root node of the search tree. This means that we use fast approximate solutions to these linear programs instead of exact but slower solutions. We present computational results with the Steiner tree and Max-Cut problems. We show evidence that one can solve these problems much faster with the volume algorithm...

Reformulations in Mathematical Programming: Definitions and Systematics

Leo Liberti (2009)

RAIRO - Operations Research

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A reformulation of a mathematical program is a formulation which shares some properties with, but is in some sense better than, the original program. Reformulations are important with respect to the choice and efficiency of the solution algorithms; furthermore, it is desirable that reformulations can be carried out automatically. Reformulation techniques are widespread in mathematical programming but interestingly they have never been studied under a unified framework. This paper attempts...