Shortest Route Problem Assignment Help

Shortest Route Problem

The criterion of this technique is to determine the shortest distance between two nodes with least cost.

Get the shortest path

222_Shortest_Route_Problem.png

Steps to find Shortest Route Problem

n

Solved nodes directly connected to unsolved nodes

Closest connected unsolved node

Total distance involved

nth nearest node

Minimum distance

Last connection

1

a

c

7

c

7

a-c

2

a

c

b

e

13

7+6 =13

b

e

13

13

a-b

c-e

3

b

c

e

d

f

h

13+5 =18

7+11 =18

13+8 =21

d

f

-

18

18

-

b-d

c-f

-

4

e

d

f

h

g

h

13+8 =21

18+9 =27

18+5 =23

h

-

-

21

-

-

e-h

-

-

5

e

h

d

g

i

g

13+10 =23

21+10 =31

18+9 =27

g

-

-

23

-

-

e-g

-

-

6

g

h

i

i

23+6 =29

21+10 =31

i

-

29

-

g-i

-

2496_Shortest_Route_Problem_Solution.png

 

The shortest path from a to i is a → c →e →g → i

Distance = 7 + 6 + 10 + 6 = 29 units

 

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