Consider the following search problem, represented as a graph. Each node is labelled by a capital letter and the value of a heuristic function is shown in maroon. Each edge is labelled by the cost to traverse that edge. The start state is 'S' and the only goal state is 'G. Perform the A* search to find the shortest path from node s to node G by answering the following two questions: i. Is the heuristics specified in the problem (shown below) admissible? Justify your answer. If the heuristics is admissi ble, proceed to answer part (ii). If the heuristics is not admissible, correct it with a sensible value of your choice and proceed to answer part (ii). ii. Perform the A* search to find the shortest path from the start state (S) to the goal state (G). H=2 H=8 15 A H=2 D 10 H=2 H H=1 7. H=3 9. E 6 8. 5. B 10 F H=2 H=9 H=0 Numbers in maroon are the heuristics for the respective nodes. Numbers in black are the weight (estimated costs.) 4.

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Consider the following search problem, represented as a graph. Each node is labelled
by a capital letter and the value of a heuristic function is shown in maroon. Each
edge is labelled by the cost to traverse that edge. The start state is 'S' and the only
goal state is 'G. Perform the A* search to find the shortest path from node S to node
G by answering the following two questions:
i. Isthe heuristics specified in the problem (shown below) admissible? Justify your
answer. If the heuristics is admissi ble, proceed to answer part (ii). If the
heuristics is not admissible, correct it with a sensible value of your choice and
proceed to answer part (ii).
ii. Perform the A* search to find the shortest path from the start state (S) to the
goal state (G).
H=2
H=8
15
A
H=2
10
H=2
H
H=1
7.
H=3
9.
E
8.
5.
10
F
H=2
H=9
H=0
Numbers in maroon are the heuristics for the respective nodes.
Numbers in black are the weight (estimated costs.)
Transcribed Image Text:Consider the following search problem, represented as a graph. Each node is labelled by a capital letter and the value of a heuristic function is shown in maroon. Each edge is labelled by the cost to traverse that edge. The start state is 'S' and the only goal state is 'G. Perform the A* search to find the shortest path from node S to node G by answering the following two questions: i. Isthe heuristics specified in the problem (shown below) admissible? Justify your answer. If the heuristics is admissi ble, proceed to answer part (ii). If the heuristics is not admissible, correct it with a sensible value of your choice and proceed to answer part (ii). ii. Perform the A* search to find the shortest path from the start state (S) to the goal state (G). H=2 H=8 15 A H=2 10 H=2 H H=1 7. H=3 9. E 8. 5. 10 F H=2 H=9 H=0 Numbers in maroon are the heuristics for the respective nodes. Numbers in black are the weight (estimated costs.)
In an optimization task, given a set of objects of different volumes, V,.., P'y and a
set of bins of capacity č. Your task is to place the objects into the bins so that the
number of bins used is as small as possible.
Describe a strategy that achieves the above-mentioned objective.
i.
ii.
What would the optimal solution be following yourstrategy in (i) if the capacity
of each Bin is 20, and the volumes of the objects are 3, 8, 6, 6, 11, 2, 3, 8,
8, 3.
Transcribed Image Text:In an optimization task, given a set of objects of different volumes, V,.., P'y and a set of bins of capacity č. Your task is to place the objects into the bins so that the number of bins used is as small as possible. Describe a strategy that achieves the above-mentioned objective. i. ii. What would the optimal solution be following yourstrategy in (i) if the capacity of each Bin is 20, and the volumes of the objects are 3, 8, 6, 6, 11, 2, 3, 8, 8, 3.
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