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  2. Multi-agent pathfinding - Wikipedia

    en.wikipedia.org/wiki/Multi-agent_pathfinding

    Example of Multi-Agent Path Finding in a grid environment. The problem of Multi-Agent Pathfinding (MAPF) is an instance of multi-agent planning and consists in the computation of collision-free paths for a group of agents from their location to an assigned target.

  3. Pathfinding - Wikipedia

    en.wikipedia.org/wiki/Pathfinding

    Multi-agent pathfinding is to find the paths for multiple agents from their current locations to their target locations without colliding with each other, while at the same time optimizing a cost function, such as the sum of the path lengths of all agents. It is a generalization of pathfinding.

  4. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    For shortest path problems in computational geometry, see Euclidean shortest path. The shortest multiple disconnected path [15] is a representation of the primitive path network within the framework of Reptation theory. The widest path problem seeks a path so that the minimum label of any edge is as large as possible.

  5. Dijkstra's algorithm - Wikipedia

    en.wikipedia.org/wiki/Dijkstra's_algorithm

    The variable alt on line 14 is the length of the path from the source node to the neighbor node v if it were to go through u. If this path is shorter than the current shortest path recorded for v, then the distance of v is updated to alt. [7] A demo of Dijkstra's algorithm based on Euclidean distance.

  6. k shortest path routing - Wikipedia

    en.wikipedia.org/wiki/K_shortest_path_routing

    It asks not only about a shortest path but also about next k−1 shortest paths (which may be longer than the shortest path). A variation of the problem is the loopless k shortest paths. Finding k shortest paths is possible by extending Dijkstra's algorithm or the Bellman-Ford algorithm. [citation needed]

  7. Travelling salesman problem - Wikipedia

    en.wikipedia.org/wiki/Travelling_salesman_problem

    Solution of a travelling salesman problem: the black line shows the shortest possible loop that connects every red dot. In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the ...

  8. Maze-solving algorithm - Wikipedia

    en.wikipedia.org/wiki/Maze-solving_algorithm

    Robot in a wooden maze. A maze-solving algorithm is an automated method for solving a maze.The random mouse, wall follower, Pledge, and Trémaux's algorithms are designed to be used inside the maze by a traveler with no prior knowledge of the maze, whereas the dead-end filling and shortest path algorithms are designed to be used by a person or computer program that can see the whole maze at once.

  9. Route assignment - Wikipedia

    en.wikipedia.org/wiki/Route_assignment

    Route assignment, route choice, or traffic assignment concerns the selection of routes (alternatively called paths) between origins and destinations in transportation networks. It is the fourth step in the conventional transportation forecasting model, following trip generation , trip distribution , and mode choice .