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Simple and fast reoptimizations for the Steiner tree problem

Paschos, Vangelis; Escoffier, Bruno; Milanic, Martin (2009), Simple and fast reoptimizations for the Steiner tree problem, Algorithmic Operations Research, 4, 2, p. 86-94

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Type
Article accepté pour publication ou publié
Date
2009
Journal name
Algorithmic Operations Research
Volume
4
Number
2
Publisher
Preeminent Academic Facets Inc.
Pages
86-94
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Author(s)
Paschos, Vangelis
Escoffier, Bruno
Milanic, Martin
Abstract (EN)
We address reoptimization issues for the Steiner tree problem. We assume that an optimal solution is given for some instance of the problem and the objective is to maintain a good solution when the instance is subject to minor modifications, the simplest such modifications being vertex insertions and deletions. We propose fast reoptimization strategies for the case of vertex insertions and we show that maintenance of a good solution for the “shrunk” instance, without ex nihilo computation, is impossible when vertex deletions occur. We also provide lower bounds for the approximation ratios of the reoptimization strategies studied.
Subjects / Keywords
Steiner tree; Approximation algorithms; Reoptimization