Transcribed Image Text 4.14. Solve the shortest path problems
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4.14. Solve the shortest path problems shown in Figure 4.15 using the original implementation of Dijkstra's
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- Define the single source shortest path problem.Using Dijkstra’s algorithm, and showing your work using a table similar to Table 5.1 , do the following: a. Compute the shortest path from t to all network nodes.Given the following network configuration (A,B... stand for node name, 1,2... stand for the length of the link), please apply Dijkstra's algorithm to calculate the shortest path from A to all the other nodes and answer following questions. B E 3 2 2 D F 5 A 5 H. G Simulate the execution of Dijkstra Algorithm round by round with fulfilling the following table. (6') Node Set B C D E G A 2, A 1,A 5, A INF INF 4,A INF AC 2, A 5, A INF INF 3,С INF 3.
- 3 Given the following network configuration (A,B... stand for node name, 1,2... stand for the length of the link), please apply Dijkstra's algorithm to caleulate the shortest path from A to all the other nodes and answer following questions. E 2 2 D F 5 3 A 1 G Simulate the execution of Dijkstra Algorithm round by round with fulfilling the following table. (6') Node Set B D E G A 2, A 1,A 5, A INF INF 4,A INF AC 2, A 5, A INF INF 3,С INF (Here, the row number stands for the iteration rounds. The column, node-set, stands for the node set which already been computed with the shortest path in each round. The column of each node stands for the length of the shortest path from node A to the corresponding node, and the previous node in the path in each round. INF stands for infinite. The first and second round execution has already been given.) (Draw the table in the paper and write the answer in the paper as well. Then upload the picture. LO 3.2. Assume a network according to the figure below. Use the shortest path first principle according to Dijkstra’s algorithm to compute the best route from A to all other nodes in the network. Your solution should show the steps taken in the execution of the algorithm. В А 1 5 D E 1 Ans:5.01-1. Dijkstra's Algorithm (1, part 1). Consider the network shown below, and Dijkstra's link- state algorithm to find the least cost path from source node U to all other destinations. Using the algorithm statement and its visual representation used in the textbook, complete the first row in the table below showing the link state algorithm's execution by matching the table entries (a), (b), (c), and (d) with their values. Write down your final [correct] answer, as you'll need it for the next question. [Note: You can find more examples of problems similar to this here B Step 0 (a) (b) (c) (d) 3 8 2 -X N' u 4 2 6 -W- 3 D(V). P(V) D(v),p(v) (a) 1 Z 1 W X D(w).p(w) D(x),p(x) (b) (c) ✓ [Choose ] 6,v 1,u 5,x infinity 4,v 7,u 8,u 2,u 3,u Z D(y).p(y) D(z).p(z) (d)
- 5.01-1. Dijkstra's Algorithm (1, part 1). Consider the network shown below, and Dijkstra’s link-state algorithm to find the least cost path from source node U to all other destinations. Using the algorithm statement and its visual representation used in the textbook, complete the first row in the table below showing the link state algorithm’s execution by matching the table entries (a), (b), (c), and (d) with their values.Electrical Engineering In the network given below, delays between the routers are given in milliseconds. a) Apply Bellman-Ford algorithm for the Router 1. In applying the algorithm, establish a table in which the maximum number of hops is started from zero and incremented by one for each iteration (h=0, 1, 2, 3, ...). In the table you will establish, include the label values consisting of minimum delay and path definition from Router 1 to other routers for each value of h. b) Briefly explain how the iteration ends. c) Indicate which labels will be stored in the routing table of Router I at the end of the algorithm. 2Explain The Maximum Capacity Path Problem and the Minimum Spanning Tree Problem
- b. Use Dijkstra's algorithm on the following network to find shortest paths. 5 7 8 RM W 3 7 2. 4. 3.5.01-2. Dijkstra's Algorithm (1, part 2). Consider the network shown below, and Dijkstra’s link-state algorithm to find the least cost path from source node U to all other destinations. Using the algorithm statement and its visual representation used in the textbook, complete the second row in the table below showing the link state algorithm’s execution by matching the table entries (a), (b), (c), (d) and (e) with their values.5.01-2. Dijkstra's Algorithm (1, part 2). Consider the network shown below, and Dijkstra's link-state algorithm to find the least cost path from source node U to all other destinations. Using the algorithm statement and its visual representation used in the textbook, complete the second row in the table below showing the link state algorithm's execution by matching the table entries (a), (b), (c), (d) and (e) with their values. Write down your final [correct] answer, as you'll need it for the next question; the *s shown correspond to your answers to the question 5.01-1. Step 0 1 (a) (b) (c) (d) (e) 3 8 2 -X- N' u (a) 4 2 6 -W- 3 D(v),p(v) (v).p(v) (b) 1 1 -Z W X D(w).p(w) D(x),p(x) (c) (d) [Choose ] [Choose ] 4,v 4,u uv 6,v 9,w 2,u 3,u infinity 9,x [Choose ] [Choose ] Z D(y),p(y) D(z),p(z) (e) >