Match List I with List II and choose the correct answer from the code given…

2018

Match List I with List II and choose the correct answer from the code given below.

List–I (Search technique)

List–II (Description)

(a) Greedy Best-First Search

(i) Selects a node for expansion if optimal path to that node has been found.

(b) A* Search

(ii) Avoids substantial overhead associated with keeping the sorted queue of nodes.

(c) Recursive Best-First Search

(iii) Suffers from excessive node generation.

(d) Iterative-deepening A* Search

(iv) Time complexity depends on the quality of heuristic code.

  1. A.

    (a) – (i), (b)-(ii), (c)-(iii), (d)-(iv)

  2. B.

    (a) – (iv), (b)-(i), (c)-(ii), (d)-(iii)

  3. C.

    (a) – (iv), (b)-(iii), (c)-(ii), (d)-(i)

  4. D.

    (a) – (i), (b)-(iv), (c)-(iii), (d)-(ii)

Attempted by 84 students.

Show answer & explanation

Correct answer: B

Correct matching and explanation:

  • Greedy Best-First Search → Time complexity depends on the quality of the heuristic (the algorithm uses only h(n); a more informative heuristic reduces search effort, while a poor heuristic can make it explore many nodes).

  • A* Search → Selects a node for expansion if an optimal path to that node has been found (with an admissible and consistent heuristic, when A* removes a node from the open list to expand it, the path to that node is optimal).

  • Recursive Best-First Search → Avoids substantial overhead associated with keeping the sorted queue of nodes (RBFS is a memory-bounded variant that uses recursion and limited bookkeeping instead of a large sorted open list).

  • Iterative-deepening A* Search → Suffers from excessive node generation (IDA* repeatedly explores paths with increasing f-cost thresholds, which causes many nodes to be regenerated across iterations).

Thus the correct mapping is: (a) Greedy Best-First Search – (iv); (b) A* Search – (i); (c) Recursive Best-First Search – (ii); (d) Iterative-deepening A* Search – (iii).

This corresponds to the option that lists: (a) – (iv), (b) – (i), (c) – (ii), (d) – (iii).

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