Question 5 In a TSP problem with 5 cities, cities are connected as shown in the figure: C3 dst 26.00, phero-47.11 dst-53.00, phero-36.04 dst-78.99 89958 ro-30.94 Co dst-112.00, phero-8.40 dst-98.00, phero-23.19 C1 dst-14.00, phero-7,80
Question 5 In a TSP problem with 5 cities, cities are connected as shown in the figure: C3 dst 26.00, phero-47.11 dst-53.00, phero-36.04 dst-78.99 89958 ro-30.94 Co dst-112.00, phero-8.40 dst-98.00, phero-23.19 C1 dst-14.00, phero-7,80
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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![Question 5
In a TSP problem with 5 cities, cities are connected as shown in the figure:
C3
dst=26.00, phero-47.11
| |||8|8[8]
8 8 8 8 8
CO
the following table shows the distances between different cities
C1
C2
C4
14.00
66.00
67.00
0.00
71.00
78.00
71.00
0.00
112.00
53.00
98.00
26.00
78.00
112.00
0.00
C1
C2
CO
0.00
C3
14.00
66.00
43.00
67.00
C4
dst-53.00, phero-36.04
dst-78.09-83958o-30.94
[Distance of 0 means distance is not applicable.
]The following table shows the pheromone in units between different cities
C1
C2
C3
7.80
0.00
0.00
dst-112.00, phero-8.40
CO
0.00
7.80
14.21
30.94
0.00
Assume that an ant has followed the following route:[0,2,4,3,1,] and back to source
36.04
4.57
Co
dst-98.00, phero-23.19
14.21
0.00
0.00
23.19
8.40
C3
43.00
53.00
98.00
0.00
26.00
C1
dst 14.00, phero=7,80
dst-66.00, phero-14.21
30.94
36.04
23.19
0.00
47.11
C2
C4
0.00
4.57
8.40
47.11
0.00
a. Calculate the total cost of the above route.
b. Calculate the ant's switching probabilities for the first 4 steps in the above route
TM366/TMA
Page VI of 7 2023/2024 Fall
assuming pheromone exponent parameter a=0.04 and heuristic exponent
parameter B=0.15.
c. Calculate the updated pheromone amounts after applying the ACO evaporation
step assuming p=0.18.
d. Calculate the updated pheromone amounts after applying the ACO depositing step
assuming Q=25.81.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0664020c-47e4-4efc-bae5-381bab0de9b8%2F2a3278aa-f81b-426f-b12a-04de32b67812%2Fpwvcmry_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5
In a TSP problem with 5 cities, cities are connected as shown in the figure:
C3
dst=26.00, phero-47.11
| |||8|8[8]
8 8 8 8 8
CO
the following table shows the distances between different cities
C1
C2
C4
14.00
66.00
67.00
0.00
71.00
78.00
71.00
0.00
112.00
53.00
98.00
26.00
78.00
112.00
0.00
C1
C2
CO
0.00
C3
14.00
66.00
43.00
67.00
C4
dst-53.00, phero-36.04
dst-78.09-83958o-30.94
[Distance of 0 means distance is not applicable.
]The following table shows the pheromone in units between different cities
C1
C2
C3
7.80
0.00
0.00
dst-112.00, phero-8.40
CO
0.00
7.80
14.21
30.94
0.00
Assume that an ant has followed the following route:[0,2,4,3,1,] and back to source
36.04
4.57
Co
dst-98.00, phero-23.19
14.21
0.00
0.00
23.19
8.40
C3
43.00
53.00
98.00
0.00
26.00
C1
dst 14.00, phero=7,80
dst-66.00, phero-14.21
30.94
36.04
23.19
0.00
47.11
C2
C4
0.00
4.57
8.40
47.11
0.00
a. Calculate the total cost of the above route.
b. Calculate the ant's switching probabilities for the first 4 steps in the above route
TM366/TMA
Page VI of 7 2023/2024 Fall
assuming pheromone exponent parameter a=0.04 and heuristic exponent
parameter B=0.15.
c. Calculate the updated pheromone amounts after applying the ACO evaporation
step assuming p=0.18.
d. Calculate the updated pheromone amounts after applying the ACO depositing step
assuming Q=25.81.
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