EXAMPLE: Suppose we want to use the A* algorithm on the graph below to find the shortest path from node S to node G. Each node is labeled by a capital letter and the value of a heuristic function. Each edge is labeled by the cost to traverse that edge. A, h=4 C, h=4 E, h=1 3 3 S, h=6 1 1 G, h=0 3 B, h=4 D, h=3.5 F, h=1 Perform the A* algorithm on this graph, filling in the table below. Indicate the f, g, and h values of each node on the queue as shown in the first two rows of the table. You need not write the contents of the (priority) queue in order in the table. Assume that if you find a path to a node already on the queue that you update its cost (using the lower f value) instead of adding another copy of that node to the queue. Show the path found by the A* algorithm on the graph above. 2.

EXAMPLE: Suppose we want to use the A* algorithm on the graph below to find the shortest path from node S to node G. Each node is labeled by a capital letter and the value of a heuristic function. Each edge is labeled by the cost to traverse that edge. A, h=4 C, h=4 E, h=1 3 3 S, h=6 1 1 G, h=0 3 B, h=4 D, h=3.5 F, h=1 Perform the A* algorithm on this graph, filling in the table below. Indicate the f, g, and h values of each node on the queue as shown in the first two rows of the table. You need not write the contents of the (priority) queue in order in the table. Assume that if you find a path to a node already on the queue that you update its cost (using the lower f value) instead of adding another copy of that node to the queue. Show the path found by the A* algorithm on the graph above. 2.

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

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Concept explainers

Multiple Table

In a database, a table is used to store data in the form of rows and columns. Rows are aligned horizontally and identified by one or more values in a specific column. Columns are vertically aligned and identified by a unique column name.

Question

100%

can you mak a sloution as table like this example

EXAMPLE on A* ALGORITHM (cont.)
EXAMPLE: Use A* search algorithm to find the solution.
Initial state: S, Goal state: G, or G,
node h(n) node h(n) |node | h(n)
A
11
D
8.
H
7
В
E
4
I
3
4
C
F
2
A) g(A)=4
B g(B)=1
Solution:
2,
2
g(E)=2
1.
It.
Node
Priority queue
g(F)=3
expanded
F
S=0
g(C)=1
g(D)=2
4
2,
1
1
А315, В36
В
E=7, F=6, A=15
g(H)=4 H
g(I)=2
I=9, G2=5, E=7,
A=15
F
g(G,)=3
g(G2)=1
G2
S, B,F, G2
4
G2

EXAMPLE: Suppose we want to use the A* algorithm on the graph below
to find the shortest path from node S to node G. Each node is labeled by
a capital letter and the value of a heuristic function. Each edge is labeled
by the cost to traverse that edge.
A, h=4
C, h=4
E, h=1
3
3
2,
2
S, h=6
1
1
G, h=0
3
2
B, h=4
D, h=3.5
F, h=1
Perform the A* algorithm on this graph, filling in the table below. Indicate the f,
g, and h values of each node on the queue as shown in the first two rows of the
table. You need not write the contents of the (priority) queue in order in the
table.
Assume that if you find a path to a node already on the queue that you update
its cost (using the lower f value) instead of adding another copy of that node to
the queue. Show the path found by the A* algorithm on the graph above.

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