Consider the following network. With the indicated link costs, use Djikstra's shortest- path algorithm to compute the table of shortest paths from A to all other network nodes. Show how the algorithm works by filling out the table below. Use column “N" for “all visited nodes in current step", and each row for "distance and predecessor of each destination node once a new node is visited".

Consider the following network. With the indicated link costs, use Djikstra's shortest- path algorithm to compute the table of shortest paths from A to all other network nodes. Show how the algorithm works by filling out the table below. Use column “N" for “all visited nodes in current step", and each row for "distance and predecessor of each destination node once a new node is visited".

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter18: Deterministic Dynamic Programming

Section18.2: A Network Problem

Problem 1P

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With the indicated link costs, use Dijkstra’s shortest-path algorithm to compute the shortest path from D to all network nodes. Show how the algorithm works by filling in the following table, where d(x) is the cost of the least-cost path from the source node D to destination x as of the current iteration of the algorithm, p(x) is the previous node (neighbor of x) along the current least-cost path from the source D to x, N’ is the subset of nodes whose shortest path from the source D has definitely been known. According to the table computed in 1), show the shortest path tree rooted at D. According to the results from 1) and 2), create the forwarding table, in which each row consists of two fields, destination and next hop.
Consider the network shown in the following diagram. With the indicated link costs, use Dijkstra's shortest-path algorithm to compute the shortest path from x to all other network nodes. Show how the algorithm works by computing a table similar to the one above.
Consider the following network. With the indicated link costs, use Dijkstra’s shortest-path algorithm to compute the shortest path from x to all network nodes. Show how the algorithm works by computing a table similar to Table 5.1. I am in need of help solving this problem and figuring out how to come up with the values in the table.
b. Give an overview of the distance vector method of updating routing table information. In particular, explain using an example how information about a node failure propagates using this algorithm.
P3. Consider the following network. With the indicated link costs, use Dijkstra’s shortest-path algorithm to compute the shortest path from x to all network nodes. Show how the algorithm works by computing a table similar to Table 5.1 .
The graph abstruction of a network with a set of routers {s, v, w, x, y, z} is given in figure 1. The link costs are given in the figure. Using Dijkstra's link state algorithm suppose you want to find the shortest path from router 's' to all the other routers. Write the order in which the shortest path is found from router 's' to all the other routers. [The shortest path found in the first iteration should come first in the order and the shortest path found in the last iteration should come last in the order]
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