Basic Search Problem - PowerPoint PPT Presentation

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Basic Search Problem

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If two or more paths reach a common node, delete all those paths except the one ... Sort the entire queue by the sum of the path length and a lower-bound estimate ... – PowerPoint PPT presentation

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Title: Basic Search Problem


1
Basic Search Problem
2
Search Tree from Net
3
Depth-First Search
4
Breadth-First Search
5
Heuristically Informed Methods
6
Hill Climbing
7
Problems withHill Climbing
8
Beam Search (1)
9
Beam Search (2)
10
Beam Search (3)
11
Beam Search (4)
12
Optimal Search
13
Branch and Bound (1)
14
Branch and Bound (2)
15
Branch and Bound (3)
16
Branch and Bound (4)
17
Branch and Bound (5)
18
Branch and Bound (6)
19
Branch and Bound (7)
20
Branch and Bound (8)
21
Branch and Bound (9)
Dead end
Goal
22
Branch and Bound (10)
23
Branch and Bound (11)
24
BB with Underestimates (1)
25
BB with Underestimates (2)
26
BB with Underestimates (3)
27
BB with Underestimates (4)
28
Dynamic Programming
29
BB with Dynamic Programming (1)
30
BB with Dynamic Programming (2)
31
BB with Dynamic Programming (3)
32
BB with Dynamic Programming (4)
33
BB with Dynamic Programming (5)
34
BB with Dynamic Programming (6)
35
A Algorithm
  • Form a one-element queue consisting of a
    zero-length path that contains only the root
    node.
  • Until the first path in the queue terminates at
    the goal node or the queue is empty,
  • Remove the first path from the queue create new
    paths by extending the first path to al the
    neighbors of the terminal node.
  • Reject all paths with loops.
  • If two or more paths reach a common node, delete
    all those paths except the one that reaches the
    common node with the minimum cost.
  • Sort the entire queue by the sum of the path
    length and a lower-bound estimate of the cost
    remaining, with least-cost paths in front.
  • If the goal node is found, announce success
    otherwise, announce failure.

36
Obstacle-Avoidance Problem
37
Configuration-Space Transformation
38
New Configuration Space
39
Visibility Graph
40
Solution by Shortest Paths
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