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  2. A* search algorithm - Wikipedia

    en.wikipedia.org/wiki/A*_search_algorithm

    Dijkstra's algorithm, as another example of a uniform-cost search algorithm, can be viewed as a special case of A* where ⁠ = ⁠ for all x. [ 12 ] [ 13 ] General depth-first search can be implemented using A* by considering that there is a global counter C initialized with a very large value.

  3. Lifelong Planning A* - Wikipedia

    en.wikipedia.org/wiki/Lifelong_Planning_A*

    LPA* maintains two estimates of the start distance g*(n) for each node: . g(n), the previously calculated g-value (start distance) as in A*; rhs(n), a lookahead value based on the g-values of the node's predecessors (the minimum of all g(n' ) + d(n' , n), where n' is a predecessor of n and d(x, y) is the cost of the edge connecting x and y)

  4. Any-angle path planning - Wikipedia

    en.wikipedia.org/wiki/Any-angle_path_planning

    The path found by A* on an octile grid vs. the shortest path between the start and goal nodes. Any-angle path planning algorithms are pathfinding algorithms that search for a Euclidean shortest path between two points on a grid map while allowing the turns in the path to have any angle.

  5. Pathfinding - Wikipedia

    en.wikipedia.org/wiki/Pathfinding

    Dijkstra's algorithm; A* search algorithm, a special case of the Dijkstra's algorithm; D* a family of incremental heuristic search algorithms for problems in which constraints vary over time or are not completely known when the agent first plans its path

  6. Iterative deepening A* - Wikipedia

    en.wikipedia.org/wiki/Iterative_deepening_A*

    Iterative deepening A* (IDA*) is a graph traversal and path search algorithm that can find the shortest path between a designated start node and any member of a set of goal nodes in a weighted graph. It is a variant of iterative deepening depth-first search that borrows the idea to use a heuristic function to conservatively estimate the ...

  7. Anytime A* - Wikipedia

    en.wikipedia.org/wiki/Anytime_A*

    In computer science, anytime A* is a family of variants of the A* search algorithm.Like other anytime algorithms, it has a flexible time cost, can return a valid solution to a pathfinding or graph traversal problem even if it is interrupted before it ends, by generating a fast, non-optimal solution before progressively optimizing it.

  8. Admissible heuristic - Wikipedia

    en.wikipedia.org/wiki/Admissible_heuristic

    The search algorithm uses the admissible heuristic to find an estimated optimal path to the goal state from the current node. For example, in A* search the evaluation function (where is the current node) is: = + where = the evaluation function.

  9. Search algorithm - Wikipedia

    en.wikipedia.org/wiki/Search_algorithm

    Specific applications of search algorithms include: Problems in combinatorial optimization, such as: . The vehicle routing problem, a form of shortest path problem; The knapsack problem: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as ...