Write your answers in the D1 answer book for this paper. D. F A 73 56 27 38 48 B 73 58 59 43 34 56 58 46 38 42 D. 27 59 46 25 32 E 38 43 38 25 F 48 34 42 32 21 The table above shows the least distances, in km, between six cities, A, B, C, D, E and F. Mohsen needs to visit cach city, starting and finishing at A, and wishes to minimise the total distance he will travel. (a) Starting at A, use the nearest ncighbour algorithm to obtain an upper bound for the length of Mohsen's route. You must state your route and its length. (b) Starting by deleting A and all of its ares, find a lower bound for the length of Mohsen's route. (c) Use your answers from (a) and (b) to write down the smallest interval that you can be confident contains the optimal length of the route. 21

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Author:James Kurose, Keith Ross
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Write your answers in the D1 answer book for this paper.
D.
E
F
A
73
56
27
38
48
B
73
58
59
43
34
56
58
46
38
42
D
27
59
46
25
32
E
38
43
38
25
21
48
34
42
32
21
The table above shows the least distances, in km, between six cities, A, B, C, D, E and F. Mohsen
needs to visit cach city, starting and finishing at A, and wishes to minimise the total distance he will
travel.
(a) Starting at A, use the nearest ncighbour algorithm to obtain an upper bound for the length of
Mohsen's route. You must state your route and its length.
(b) Starting by deleting A and all of its ares, find a lower bound for the length of Mohsen's route.
(c) Use your answers from (a) and (b) to write down the smallest interval that you can be confident
contains the optimal length of the route.
Transcribed Image Text:Write your answers in the D1 answer book for this paper. D. E F A 73 56 27 38 48 B 73 58 59 43 34 56 58 46 38 42 D 27 59 46 25 32 E 38 43 38 25 21 48 34 42 32 21 The table above shows the least distances, in km, between six cities, A, B, C, D, E and F. Mohsen needs to visit cach city, starting and finishing at A, and wishes to minimise the total distance he will travel. (a) Starting at A, use the nearest ncighbour algorithm to obtain an upper bound for the length of Mohsen's route. You must state your route and its length. (b) Starting by deleting A and all of its ares, find a lower bound for the length of Mohsen's route. (c) Use your answers from (a) and (b) to write down the smallest interval that you can be confident contains the optimal length of the route.
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