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T1 (1.544-Mbps serial link) 64

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To formulate the shortest path problem as a linear program, you can assign variables to represent the decision of which paths to take, and set up constraints to ensure that the total distance or cost of the chosen paths is minimized. The objective function would be to minimize the total distance or cost, and the constraints would include ensuring that the chosen paths form a valid route from the starting point to the destination. This linear program can then be solved using optimization techniques to find the shortest path.


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The A* algorithm is a popular pathfinding and graph traversal algorithm used in computer science and artificial intelligence. It combines features of Dijkstra's algorithm and Greedy Best-First Search by using a cost function, typically denoted as ( f(n) = g(n) + h(n) ), where ( g(n) ) is the cost from the start node to the current node ( n ), and ( h(n) ) is the heuristic estimate of the cost from ( n ) to the goal. A* prioritizes nodes based on their total estimated cost, allowing it to efficiently find the shortest path while considering both actual and estimated costs. It guarantees the shortest path if the heuristic is admissible, meaning it never overestimates the true cost to reach the goal.


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