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| ベルマン-フォード法× | A*探索アルゴリズム× | |
|---|---|---|
| 分野 | オペレーションズ・リサーチ | オペレーションズ・リサーチ |
| 系統 | Machine learning | Machine learning |
| 提唱年≠ | 1956 | 1968 |
| 提唱者≠ | Richard Bellman and Lester R. Ford | Peter E. Hart, Nils J. Nilsson, and Bertram Raphael |
| 種類 | algorithm | algorithm |
| 原典≠ | Bellman, R. (1958). On a routing problem. Quarterly of Applied Mathematics, 16(1), 87-90. DOI ↗ | Hart, P. E., Nilsson, N. J., & Raphael, B. (1968). A formal basis for the heuristic determination of minimum cost paths. IEEE Transactions on Systems Science and Cybernetics, 4(2), 100-107. DOI ↗ |
| 別名≠ | Bellman-Ford method, Bellman algorithm | A* algorithm, A-star algorithm, A* search |
| 関連≠ | 3 | 2 |
| 概要≠ | 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. | The A* Search Algorithm, developed by Peter E. Hart, Nils J. Nilsson, and Bertram Raphael in 1968, is an optimal path-finding algorithm that combines the benefits of Dijkstra's algorithm with heuristic guidance. It efficiently finds the shortest path by balancing actual distance from the start with estimated distance to the goal. |
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