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DIJKSTRAS ALGORITHM NETWORK ROUTING Consider the below network, wit.pdf

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Dijkstra's algorithm is used to find the shortest paths from a starting node "u" to all other nodes in a network. The algorithm works by iteratively updating the cost of the shortest path from "u" to each node and tracking the full path. It fills out a table with the current shortest distance "D(n)" and path "p(n)" for each node "n". The shortest path from "u" to node "x" has a cost of 10 and passes through nodes "u", "v", and "x". The forwarding table on node "u" shows the next hop for the shortest path to each destination node.

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DIJKSTRA'S ALGORITHM NETWORK ROUTING Consider the below network, with the indicated link costs. Question 1.1 [40 points] Use Dijkstra's algorithm to compute the shortest path from node/router u to all other network nodes. Show how the algorithm works by filling out the columns/cells of the provided table. In the given table, D(n) represents the cost of current shortest distance from node u to node n, and p(n) represents the entire current shortest path from node u to node n (comprising all the intermediate nodes on that path). Question 1.2 [5 points] Based on the results from Question 1.1, what is the shortest path from node u to node x, and what is the respective cost of this path. Question 1.2 [20 points] Based on the results from Question 1.1, fill out the resulting forwarding table on the node u.

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  • 1. DIJKSTRA'S ALGORITHM NETWORK ROUTING Consider the below network, with the indicated link costs. Question 1.1 [40 points] Use Dijkstra's algorithm to compute the shortest path from node/router u to all other network nodes. Show how the algorithm works by filling out the columns/cells of the provided table. In the given table, D(n) represents the cost of current shortest distance from node u to node n, and p(n) represents the entire current shortest path from node u to node n (comprising all the intermediate nodes on that path). Question 1.2 [5 points] Based on the results from Question 1.1, what is the shortest path from node u to node x, and what is the respective cost of this path. Question 1.2 [20 points] Based on the results from Question 1.1, fill out the resulting forwarding table on the node u.