Question

5. In the tree-search algorithm, the goal test is applied after a node is removed from the queue. We saw that breadth-first search (BFS) and uniform cost search (UCS) are optimal tree-search strategies. Consider a variant of tree-search in which the goal test occurs when nodes are expanded instead, right before they are inserted into the queue. a) Is BFS (with uniform step costs) still optimal in this variant? Why or why not? [2 points] b) Is UCS (with non-uniform step costs) still optimal in this variant? Why or why not? [2 points]

          5. In the tree-search algorithm, the goal test is applied after a node is removed from the
queue. We saw that breadth-first search (BFS) and uniform cost search (UCS) are optimal
tree-search strategies. Consider a variant of tree-search in which the goal test occurs
when nodes are expanded instead, right before they are inserted into the queue.
a) Is BFS (with uniform step costs) still optimal in this variant? Why or why not? [2
points]
b) Is UCS (with non-uniform step costs) still optimal in this variant? Why or why not? [2
points]

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5. In the tree-search algorithm, the goal test is applied after a node is removed from the
queue. We saw that breadth-first search (BFS) and uniform cost search (UCS) are optimal
tree-search strategies. Consider a variant of tree-search in which the goal test occurs
when nodes are expanded instead, right before they are inserted into the queue.
a) Is BFS (with uniform step costs) still optimal in this variant? Why or why not? [2
points]
b) Is UCS (with non-uniform step costs) still optimal in this variant? Why or why not? [2
points]

Added by Melissa E.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Maryam Riaz

Step 1

This is because BFS explores all nodes at the same depth level before moving on to the next depth level. Since BFS guarantees that it will find the shallowest goal node first, the goal node will be expanded before any other nodes at the same depth level. Show more…

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In the tree-search algorithm, the goal test is applied after a node is removed from the queue. We saw that breadth-first search (BFS) and uniform cost search (UCS) are optimal tree-search strategies. Consider a variant of tree-search in which the goal test occurs when nodes are expanded instead, right before they are inserted into the queue. a) Is BFS (with uniform step costs) still optimal in this variant? Why or why not? [2 points] b) Is UCS (with non-uniform step costs) still optimal in this variant? Why or why not? [2 points]

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