Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
481653 | European Journal of Operational Research | 2008 | 12 Pages |
Abstract
Given arbitrary source and target nodes s, t and an s–t-flow defined by its flow-values on each arc of a network, we consider the problem of finding a decomposition of this flow with a minimal number of s–t-paths. This problem is issued from the engineering of telecommunications networks for which the task of implementing a routing solution consists in integrating a set of end-to-end paths. We show that this problem is NP-hard in the strong sense and give some properties of an optimal solution. We then propose upper and lower bounds for the number of paths in an optimal solution. Finally we develop two heuristics based on the properties of a special set of solutions called saturating solutions.
Keywords
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
B. Vatinlen, F. Chauvet, P. Chrétienne, P. Mahey,