An algorithmic framework for the exact solution of tree-star problems

Leitner, Markus and Ljubic, Ivana and Salazar-Gonzalez, Juan Jose and Sinnl, Markus (2017) An algorithmic framework for the exact solution of tree-star problems. European Journal of Operational Research, 261 (1). pp. 54-66. ISSN 0377-2217

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Many problems arising in the area of telecommunication ask for solutions with a tree-star topology. This paper proposes a general procedure for finding optimal solutions to a family of these problems. The family includes problems in the literature named as connected facility location, rent-or-buy and generalized Steiner tree-star. We propose a solution framework based on a branch-and-cut algorithm which also relies on sophisticated reduction and heuristic techniques. An important ingredient of this framework is a dual ascent procedure for asymmetric connected facility location. This paper shows how this procedure can be exploited in combination with various mixed integer programming formulations. Using the new framework, many benchmark instances in the literature for which only heuristic results were available so far, can be solved to provable optimality within seconds. To better assess the computational performance of the new approach, we additionally consider larger instances and provide optimal solutions for most of them too.

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Journal Article
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European Journal of Operational Research
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This is the author’s version of a work that was accepted for publication in European Journal of Operational Research. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in European Journal of Operational Research
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11 Jul 2018 09:40
Last Modified:
20 Sep 2023 01:13