Effective local search techniques for the Steiner tree problem

Effective local search techniques for the Steiner tree problem

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Article ID: iaor20001047
Country: Greece
Volume: 11
Issue: 1
Start Page Number: 219
End Page Number: 241
Publication Date: Dec 1997
Journal: Studies In Locational Analysis
Authors: ,
Keywords: Steiner problem
Abstract:

We present a number of local search algorithms for the Steiner problem in graphs. The comparative performance of path and vertex based neighbourhood functions is studied. Computational results are presented for the Beasley B, C, D, and E problem sets. The most promising approach is a Simulated Annealing algorithm which regularly changes its search space topology by changing representation and neighbourhood function. This approach can solve successfully all the Beasley instances and, in most cases, solutions are found in under 15 minutes.

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