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XTech is a drainage solution company located in Dallas, TX. Due to the lack of a

ID: 3675652 • Letter: X

Question

XTech is a drainage solution company located in Dallas, TX. Due to the lack of an available sophisticated approach at the company, dispatcher applies nearest-neighbor search to create a route for each truck and its driver. The distance matrix among a small set of customers are given below.

D

O

TN

L-1

L-2

L-3

L-4

L-5

L-6

L-7

L-8

L-9

TN

-

6

9

15

23

16

16

21

6

13

L-1

7

-

13

16

29

8

7

14

19

13

L-2

14

13

-

14

3

7

5

16

15

17

L-3

12

16

15

-

12

23

14

16

27

10

L-4

20

29

3

12

-

9

7

19

12

4

L-5

15

11

8

19

10

-

9

14

30

21

L-6

14

8

4

14

8

7

-

12

11

13

L-7

16

16

12

15

22

11

14

-

9

9

L-8

2

21

14

29

16

32

10

8

-

14

L-9

12

13

15

14

5

20

9

12

14

-

Determine the route (or multiple routes if alternative routes exist) for the truck

Calculate the route length for all routes determined in part (a), and chose the best route

D

O

TN

L-1

L-2

L-3

L-4

L-5

L-6

L-7

L-8

L-9

TN

-

6

9

15

23

16

16

21

6

13

L-1

7

-

13

16

29

8

7

14

19

13

L-2

14

13

-

14

3

7

5

16

15

17

L-3

12

16

15

-

12

23

14

16

27

10

L-4

20

29

3

12

-

9

7

19

12

4

L-5

15

11

8

19

10

-

9

14

30

21

L-6

14

8

4

14

8

7

-

12

11

13

L-7

16

16

12

15

22

11

14

-

9

9

L-8

2

21

14

29

16

32

10

8

-

14

L-9

12

13

15

14

5

20

9

12

14

-

Explanation / Answer

TN-->L8-->L7-->L9-->L4-->L2-->L6-->L5-->L1-->L3

tottal distance is of 70 which is the minimum distance to cover all the routes.