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Compare following informed searching algorithms based on performance measure with justification

Compare following informed searching algorithms based on performance measure with justification: Complete, Optimal, Time complexity and space complexity. - a. Greedy best first - b. A* - c. Recursive best-first (RBFS) -

Mumbai University > Computer Engineering > Sem 7 > Artificial Intelligence

Marks: 10 Marks

Year: May 2016

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Parameters Greedy Best First A* Recursive best-first (RBFS)
Complete No – can get stuck in loops, e.g., Iasi Neamt Iasi Neamt Yes (unless there are infinitely many nodes with f ≤ f(G) ) Yes, similar to A*.
Optimal No Yes (depending upon search algo and heuristic property) Yes, similar to A*.
Time Complexity O(bm), but a good heuristic can give dramatic improvement Exponential The time complexity is difficult to characterize: it depends both on the accuracy of the heuristic function and on how often the best path changes as nodes are expanded. Each mind change corresponds to an iteration of IDA_, and could require many re-expansions of forgotten nodes to recreate the best path and extend it one more node.RBFS is somewhat more efficient than IDA_, but still suffers from excessive node regeneration.
Space Complexity O(bm) --keeps all nodes in memory Keeps all nodes in memory O(bd)(linear space best-first search)
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