Consider a computer network using the distance vector routing algorithm in its network layer. The partial topology of the network is as shown below. The objective is to find the shortest-cost path from the router R to routers P and Q. Assume that R does not initially know the shortest routes to P and Q. Assume that R has three neighbouring routers denoted as X, Y, and Z. During one iteration, R measures its distance to its neighbours X, Y, and Z as 3, 2, and 5, respectively. Router R gets routing vectors from its neighbours that indicate that the distance to router P from routers X, Y, and Z are 7, 6, and 5, respectively. The routing vector also indicates that the distance to router Q from routers X, Y, and Z are 4, 6, and 8, respectively. Which of the following statement(s) is/are correct with respect to the new routing table of R, after updation during this iteration ? 

Consider a computer network using the distance vector routing algorithm in its network layer. The partial topology of the network is as shown below. The objective is to find the shortest-cost path from the router R to routers P and Q. Assume that R does not initially know the shortest routes to P and Q. Assume that R has three neighbouring routers denoted as X, Y, and Z. During one iteration, R measures its distance to its neighbours X, Y, and Z as 3, 2, and 5, respectively. Router R gets routing vectors from its neighbours that indicate that the distance to router P from routers X, Y, and Z are 7, 6, and 5, respectively. The routing vector also indicates that the distance to router Q from routers X, Y, and Z are 4, 6, and 8, respectively. Which of the following statement(s) is/are correct with respect to the new routing table of R, after updation during this iteration ?  Correct Answer The next hop router for a packet from R to P is Y., The distance from R to Q will be stored as 7

Explanation:

given data 

R → X

3

R → Y

2

R → Z

5

To Router P

Cost

From

7

X

6

Y

5

Z

To Router Q

Cost

From

4

X

6

Y

8

Z

 

Cost of R → P = Min (R → X + X → P, R → Y + Y → P, R → Z + Z → P)

Cost of R → P = Min (3 + 7, 2 + 6, 5 + 5)

Cost of R → P = Min (10, 8, 10) = 8

Cost of R → P = 8 and next hop is Y.

Cost of R → Q = Min (R → X + X → Q, R → Y + Y → Q, R → Z + Z → Q)

Cost of R → Q = Min (3 + 4, 2 + 6, 5 + 8)

Cost of R → Q = Min (7, 8, 13)

Cost of R → Q = 7 and next hop is X.

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