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What path would Best-first search, using only h1 heuristic as shown in the table below, return as a solution path for this search problem? State h1 h2 3 2 5 1 4 G 도 3| 3| 5 2 3 4|1 SABC DE

What path would Best-first search, using only h1 heuristic as shown in the table below, return as a solution path for this search problem? State h1 h2 3 2 5 1 4 G 도 3| 3| 5 2 3 4|1 SABC DE

Database System Concepts
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
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**Educational Content: Best-First Search Using h1 Heuristic** **Problem Statement:** What path would a Best-first search, utilizing only the h1 heuristic as shown in the table below, return as a solution path for this search problem? **Heuristic Table:** | State | h1 | h2 | |-------|----|----| | S | 3 | 3 | | A | 3 | 2 | | B | 5 | 5 | | C | 2 | 1 | | D | 3 | 2 | | E | 4 | 4 | | G | 1 | 0 | **Explanation:** The table above lists several states labeled from S to G. Each state has two heuristic values titled h1 and h2. For this problem, only the h1 heuristic is to be considered when performing the Best-first search. The objective is finding the most efficient path leading to the goal (often represented here as state G) using h1 as the guiding heuristic. **Best-First Search Overview:** The Best-first search algorithm expands the most promising node chosen according to a specified rule, which in this case is the heuristic h1. The search continues by exploring paths with the lowest heuristic value, thereby aiming for the least-cost path to the goal. The h1 heuristic represents an estimate of the cost to reach the goal. **Solution Path:** 1. Start at state S with h1 = 3. 2. Examine neighboring states and choose the one with the smallest h1. In this case, C is selected next with h1 = 2. 3. Continue selecting the lowest h1 heuristic value, leading to state G with h1 = 1. 4. The solution path found is typically S -> C -> G, considering only h1.
Transcribed Image Text:**Educational Content: Best-First Search Using h1 Heuristic** **Problem Statement:** What path would a Best-first search, utilizing only the h1 heuristic as shown in the table below, return as a solution path for this search problem? **Heuristic Table:** | State | h1 | h2 | |-------|----|----| | S | 3 | 3 | | A | 3 | 2 | | B | 5 | 5 | | C | 2 | 1 | | D | 3 | 2 | | E | 4 | 4 | | G | 1 | 0 | **Explanation:** The table above lists several states labeled from S to G. Each state has two heuristic values titled h1 and h2. For this problem, only the h1 heuristic is to be considered when performing the Best-first search. The objective is finding the most efficient path leading to the goal (often represented here as state G) using h1 as the guiding heuristic. **Best-First Search Overview:** The Best-first search algorithm expands the most promising node chosen according to a specified rule, which in this case is the heuristic h1. The search continues by exploring paths with the lowest heuristic value, thereby aiming for the least-cost path to the goal. The h1 heuristic represents an estimate of the cost to reach the goal. **Solution Path:** 1. Start at state S with h1 = 3. 2. Examine neighboring states and choose the one with the smallest h1. In this case, C is selected next with h1 = 2. 3. Continue selecting the lowest h1 heuristic value, leading to state G with h1 = 1. 4. The solution path found is typically S -> C -> G, considering only h1.
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