Show the distance table entries at each node iteration

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Question 1. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm and show the distance table entries at each node iteration by iteration until the algorithm converges at all nodes.

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Question 2. Consider the network fragment shown below. Node x has only two attached neighbors, w and y. Node w has a minimum-cost path to destination u (not shown) of 5, and y has a minimum-cost path to u of 6. The complete paths from w and y to u (and between w and y) are not shown. All link costs in the network have strictly positive integer values (i.e. 1, 2, 3, ...).

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a. Give x's distance vector for destinations w, x, y, and u. Also, give distance vectors x receives from its neighbors w and y.

Dx

U

W

X

Y

W

 

 

 

 

X

 

 

 

 

Y

 

 

 

 

a. Give all valid link-cost changes for either c(x, w) or c(x, y) such that x will inform its neighbors of a new minimum-cost path to u as a result of executing the distance-vector algorithm.

b. Give all valid link-cost changes for either c(x, w) or c(x, y) such that x will not inform its neighbors of a new minimum-cost path to u as a result of executing the distance-vector algorithm.

c. Give all valid updates received by X (with regard to the cost of the least-cost to U, i.e. either Dw(U) or Dy(U)) such that X will inform its neighbors of new least-cost path to U as a result of executing the DV algorithm.

d. Give all valid updates received by X (with regard to the cost of the least-cost to U, i.e. either Dw(U) or Dy(U)) such that X will NOT inform its neighbors of new least-cost path to U as a result of executing the DV algorithm.

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Reference no: EM132235173

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