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| Algorithme de Ford-Fulkerson× | Algorithme de Bellman-Ford× | |
|---|---|---|
| Domaine | Recherche opérationnelle | Recherche opérationnelle |
| Famille | Machine learning | Machine learning |
| Année d'origine | 1956 | 1956 |
| Auteur d'origine≠ | Lester R. Ford and Delbert R. Fulkerson | Richard Bellman and Lester R. Ford |
| Type | algorithm | algorithm |
| Source fondatrice≠ | Ford, L. R., & Fulkerson, D. R. (1956). Maximal flow through a network. Canadian Journal of Mathematics, 8(3), 399-404. DOI ↗ | Bellman, R. (1958). On a routing problem. Quarterly of Applied Mathematics, 16(1), 87-90. DOI ↗ |
| Alias | Ford-Fulkerson method, augmenting path method | Bellman-Ford method, Bellman algorithm |
| Apparentées≠ | 4 | 3 |
| Résumé≠ | The Ford-Fulkerson Algorithm, developed by Lester R. Ford and Delbert R. Fulkerson in 1956, is a foundational method for computing the maximum flow in a flow network. It finds the maximum amount of flow that can be sent from a source to a sink through a directed graph with capacity constraints on edges. | The Bellman-Ford Algorithm, developed by Richard Bellman and Lester R. Ford in the 1950s, is a fundamental algorithm for computing shortest paths in weighted graphs that may contain negative edge weights. Unlike Dijkstra's algorithm, it correctly handles negative weights and can detect the presence of negative-weight cycles. |
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