## Why is a * better than best first search?

A* achieves better performance by using heuristics to guide its search.

A* combines the advantages of Best-first Search and Uniform Cost Search: ensure to find the optimized path while increasing the algorithm efficiency using heuristics.

…

If h(n)=0, then A* turns to be Uniform-Cost Search..

## Is a star a greedy algorithm?

A* is like Dijkstra’s Algorithm in that it can be used to find a shortest path. A* is like Greedy Best-First-Search in that it can use a heuristic to guide itself.

## Is greedy best first search Complete?

Greedy best-first search expands nodes with minimal h(n). It is not optimal, but is often efficient. A* search expands nodes with minimal f(n)=g(n)+h(n). A* s complete and optimal, provided that h(n) is admissible (for TREE-SEARCH) or consistent (for GRAPH-SEARCH).

## What are disadvantages of greedy best first?

Space Complexity: The worst case space complexity of Greedy best first search is O(bm). Where, m is the maximum depth of the search space. Complete: Greedy best-first search is also incomplete, even if the given state space is finite. Optimal: Greedy best first search algorithm is not optimal.

## Is a * complete and optimal?

A* is complete and optimal on graphs that are locally finite where the heuristics are admissible and monotonic. … Because A* is monotonic, the path cost increases as the node gets further from the root.

## Is Dijkstra greedy?

In fact, Dijkstra’s Algorithm is a greedy algo- rithm, and the Floyd-Warshall algorithm, which finds shortest paths between all pairs of vertices (see Chapter 26), is a dynamic program- ming algorithm. Although the algorithm is popular in the OR/MS literature, it is generally regarded as a “computer science method”.