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Previous Year Question (PYQs)
3
Given below are two statements
Statement I: Breadth-First Search is optimal when all the step costs are equal whereas uniform-cost search is optimal with any step-cost. Statement II: When all the step costs are same uniform-cost search expands more nodes at depth $d$ than the Breadth-First Search. In light of the above statements, choose the correct answer from the options given below.
Solution
Utility-based agent works with utility value.
Utility value tells how good or bad a state is for the agent.
A happy state means higher utility.
An unhappy state means lower utility.
So, the agent that deals with happy and unhappy states is Utility-based agent.Breadth-First Search gives optimal solution when all step costs are equal.
Uniform-cost search gives optimal solution when step costs may be different but non-negative.
So, Statement I is true.
When all step costs are same, Uniform-cost search behaves like Breadth-First Search. It expands nodes in increasing path-cost order, which becomes same as increasing depth order. So, it does not expand more nodes at depth $d$ than Breadth-First Search. Therefore, Statement II is false.
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