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interior point algorithms.

RAIRO - Operations Research (1)

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A New Relaxation in Conic Formfor the Euclidean Steiner Problem in ℜ
Marcia Fampa, Nelson Maculan
Journal:

RAIRO - Operations Research / Volume 35 / Issue 4 / October 2001

Published online by Cambridge University Press:

15 August 2002, pp. 383-394

Print publication:

October 2001
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In this paper, we present anew mathematical programming formulation for the Euclidean SteinerTree Problem (ESTP) in ℜ. We relax the integralityconstrains on this formulation and transform the resultingrelaxation, which is convex, but not everywhere differentiable,into a standard convex programming problem in conic form. Weconsider then an efficient computation of an ϵ-optimalsolution for this latter problem using interior-point algorithm.