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HomeHomework Helpcomputer-scienceWeighted A* Search Algorithm

Weighted A* Search Algorithm

The Weighted A* search algorithm is an extension of the A* algorithm that introduces a weight factor to the heuristic function, allowing for the exploration of paths in a search space with a trade-off between optimality and computational efficiency.

intermediate
3 hours
Computer Science
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Overview

The Weighted A* Search Algorithm is an enhancement of the traditional A* algorithm, designed to improve pathfinding efficiency by introducing a weighting factor. This factor allows the algorithm to balance between the cost to reach a node and the estimated cost to the goal, making it suitable for va...

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Key Terms

Heuristic Function
A function that estimates the cost to reach the goal from a given node.

Example: In a maze, the straight-line distance to the exit can be a heuristic.

Cost Function
A function that calculates the cost to reach a node from the start node.

Example: The distance traveled or time taken to reach a node.

Pathfinding
The process of finding a path from a start point to a goal point.

Example: Finding the shortest route on a map.

Graph Search
A method for exploring nodes and edges in a graph to find a solution.

Example: Searching for a route in a city map.

Node
A point in a graph representing a state or position.

Example: Intersections in a road network.

Weight
A value that influences the cost of moving from one node to another.

Example: Higher weights can represent difficult terrain.

Related Topics

Dijkstra's Algorithm
A graph search algorithm that finds the shortest path between nodes without using heuristics.
intermediate
Graph Theory
The study of graphs, which are mathematical structures used to model pairwise relations between objects.
intermediate
Pathfinding Algorithms
A broader category of algorithms designed to find paths in various contexts, including grid-based and graph-based environments.
intermediate

Key Concepts

Heuristic FunctionCost FunctionPathfindingGraph Search