Solving diameter-constrained minimum spanning tree problems by constraint programming

Solving diameter-constrained minimum spanning tree problems by constraint programming

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Article ID: iaor20105933
Volume: 17
Issue: 5
Start Page Number: 653
End Page Number: 665
Publication Date: Sep 2010
Journal: International Transactions in Operational Research
Authors: , ,
Keywords: programming: constraints
Abstract:

The diameter-constrained minimum spanning tree problem consists in finding a minimum spanning tree of a given graph, subject to the constraint that the maximum number of edges between any two vertices in the tree is bounded from above by a given constant. This problem typically models network design applications where all vertices communicate with each other at a minimum cost, subject to a given quality requirement. We propose alternative formulations using constraint programming that circumvent weak lower bounds yielded by most mixed-integer programming formulations. Computational results show that the proposed formulation, combined with an appropriate search procedure, solves larger instances and is faster than other approaches in the literature.

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