Consider the network topology below and work on the following problems. Figure 1: Weighted graph representation of a network of routers. A. Using Dijkstra's algorithm, calculate the shortest path from node A to any other node in the topology. Show your work in the table below. D(Z). p(Z) Step 0 1 2 3 4 5 Figure 2: Fill out the above table as you calculate the shortest path for the topology in Figure 1. B. Which is the correct illustration of the shortest path (pick one of the options in Figure 3). Destination E 2 Nº DB), p(8) D(C), p(C) D(D), p(D) D(E), P(E) A Figure 3: Select the correct shortest path for the topology in Figure 1. C. Which is the correct forwarding table for node A following the shortest path calculations? Link (AR) AG AG (AQ (AQ 10 10 Destination C 2 (AC) (AC) (AC) (AC) (AC) Destination Link (A,B) MO (A,D) (AX) (A,Z) C D E 2 Destination Figure 4: Select the correct forwarding table for node A D E 2 D (AR) (A) (AB)

Consider the network topology below and work on the following problems. Figure 1: Weighted graph representation of a network of routers. A. Using Dijkstra's algorithm, calculate the shortest path from node A to any other node in the topology. Show your work in the table below. D(Z). p(Z) Step 0 1 2 3 4 5 Figure 2: Fill out the above table as you calculate the shortest path for the topology in Figure 1. B. Which is the correct illustration of the shortest path (pick one of the options in Figure 3). Destination E 2 Nº DB), p(8) D(C), p(C) D(D), p(D) D(E), P(E) A Figure 3: Select the correct shortest path for the topology in Figure 1. C. Which is the correct forwarding table for node A following the shortest path calculations? Link (AR) AG AG (AQ (AQ 10 10 Destination C 2 (AC) (AC) (AC) (AC) (AC) Destination Link (A,B) MO (A,D) (AX) (A,Z) C D E 2 Destination Figure 4: Select the correct forwarding table for node A D E 2 D (AR) (A) (AB)

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter9: Integer Programming

Section9.6: Solving Combinatorial Optimization Problems By The Branch-and-bound Method

Problem 3P

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Use the provided data to create the Dijkstra Shortest Weighted Path method.Precondition: S is a node in the weighted (directed or undirected) network G.Post-cond: specifies the shortest weighted route between each node of G and s, and d specifies the lengths of those paths.
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