Hello,I have attached two screenshots:One of the textbook question (Chapter 3 Q25) from "Artificial Intelligence_ A Modern Approach-Prentice Hall, 3rd edition"And of the relevant answer as seen on Bartleby. I wanted a little more detailed explanation on how the range of "w" was found, and how exactly to approach this problem when we knew that A* is "complete". Thanks! 3.25 The heuristic path algorithm (Pohl, 1977) is a best-first search in which the evalu-ation function is f(n)(2 – w)g(n) + wh(n). For what values of w is this complete?For what values is it optimal, assuming that h is admissible? What kind of search does thisperform for uw =0, w = 1, and w =2? Value of "w" for which search is complete:The "w" of "f(n) = (2-w)g(n) + wh(n)" is complete whenever 0

Answered: 3.25 The heuristic path algorithm…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Concept explainers

Question

Hello,

I have attached two screenshots:

One of the textbook question (Chapter 3 Q25) from "Artificial Intelligence_ A Modern Approach-Prentice Hall, 3rd edition"

And of the relevant answer as seen on Bartleby.

I wanted a little more detailed explanation on how the range of "w" was found, and how exactly to approach this problem when we knew that A* is "complete".

Thanks!

3.25 The heuristic path algorithm (Pohl, 1977) is a best-first search in which the evalu-
ation function is f(n)
(2 – w)g(n) + wh(n). For what values of w is this complete?
For what values is it optimal, assuming that h is admissible? What kind of search does this
perform for uw =
0, w = 1, and w =
2?

Value of "w" for which search is complete:
The "w" of "f(n) = (2-w)g(n) + wh(n)" is complete whenever 0<w<2. w = 0 gives f(n) = 2g(n). this
behaves exactly like, uniform-cost search.

Expert Solution

Step 1

When the value of w is as follows: , then the algorithm will be optimal.

If , then the estimate will be reduced but the distance to the goal state will be underestimated.

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 13 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions