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A greedy algorithm for solving a certain class of linear programmes

✍ Scribed by F. D. J. Dunstan; D. J. A. Welsh


Book ID
105248625
Publisher
Springer-Verlag
Year
1973
Tongue
English
Weight
518 KB
Volume
5
Category
Article
ISSN
0025-5610

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A greedy algorithm for some classes of i
✍ V.V. Shenmaier πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 144 KB

We establish a necessary and su cient condition for a greedy algorithm to ΓΏnd an optimal solution in the case of integer programs with separable concave objective functions. This extends some well-known results for spanning trees, matroids, and greedoids. As a corollary we obtain one new generalizat