Solving the Steiner Tree Problem in graphs with Variable Neighborhood Descent

June 13, 2018 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Matthieu De Laere, San Tu Pham, Patrick De Causmaecker arXiv ID 1806.06685 Category cs.AI: Artificial Intelligence Citations 2 Venue arXiv.org Last Checked 4 months ago
Abstract
The Steiner Tree Problem (STP) in graphs is an important problem with various applications in many areas such as design of integrated circuits, evolution theory, networking, etc. In this paper, we propose an algorithm to solve the STP. The algorithm includes a reducer and a solver using Variable Neighborhood Descent (VND), interacting with each other during the search. New constructive heuristics and a vertex score system for intensification purpose are proposed. The algorithm is tested on a set of benchmarks which shows encouraging results.
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