Порівняння методів

	Алгоритм пошуку A*	Алгоритм Беллмана-Форда	Алгоритм Дейкстри
Галузь	Дослідження операцій	Дослідження операцій	Дослідження операцій
Родина	Machine learning	Machine learning	Machine learning
Рік появи	1968	1956	1956
Автор методу	Peter E. Hart, Nils J. Nilsson, and Bertram Raphael	Richard Bellman and Lester R. Ford	Edsger W. Dijkstra
Тип	algorithm	algorithm	algorithm
Основоположне джерело	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.	Bellman, R. (1958). On a routing problem. Quarterly of Applied Mathematics, 16(1), 87-90.	Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269-271.
Інші назви	A* algorithm, A-star algorithm, A* search	Bellman-Ford method, Bellman algorithm	Dijkstra's algorithm, shortest path algorithm
Пов'язані	2	3	3
Підсумок	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.	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.	Dijkstra's Algorithm, introduced by Edsger W. Dijkstra in 1956, is one of the most fundamental algorithms in computer science for solving the single-source shortest path problem. It finds the shortest path from a starting vertex to all other vertices in a weighted graph with non-negative edge weights.