m 5.2 km F D 2.2 km 4.7 km 2.9 km 6.4 km с 3 km 4.1 km 7 km A 3.2 km B
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SOLVE USING DIJKSTRA'S
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- Given the following nodes from A to G as shown in the diagram, determine the shortest path network from node A to all other nodes in the given cost network graph.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.Consider the following network. With the indicated link costs, use Dijkstra’s shortest-path algorithm to compute the shortest path from u to all network nodes. a) Fill the following table to show the Dijkstra’s shortest-path algorithm works by computing the path and cost form u to all other network nodes. b) Construct the resulting least-cost-path tree from u.
- Consider the network shown below, and Dijkstra’s link-state algorithm. Here, we are interested in computing the least cost path from node E to all other nodes using Dijkstra's algorithm. Using the algorithm statement used in the textbook and its visual representation, complete the "Step 3" row in the table below showing the link state algorithm’s execution by matching the table entries (i), (ii), (iii), (iv) and (v) with their values.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.In order to function optimally, what are the three conditions that must be true for each given network? Spend a minute or so explaining what one is like in your own words.
- 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 .In designing a communication network, the Minimum Spanning Tree is being used to show the connected subset of the original network graph showing the least amount of links needed to interconnect all the nodes based on all the link costs. Given the diagram below, create the minimum spanning tree (MST) using Kruskal’s Algorithm. With your final MST, find the sum of all the edge weightsWhat are the three conditions that must be true for a network to function optimally? Give me a minute of your time and describe one to me in your own words.
- Summarize the three conditions that must be met by a network for it to function optimally.What three things must exist for a network to perform optimally? Let's take them one at a time and analyze them thoroughly.How exactly would I be able to paraphrase this pseudo-code so that it can make a bit more sense? 1.Initialtzation: generate a random solution X ← RandomSolution() 2. Solve the traffic assignment problem at equilibrium for each link: (flow, cost) ← NonLinearComplementary(X) 3. Evaluate the objective value for the current solution: f (X) ← EvaluateObj Val (f low, cost) 4. T ← Tmax 5 while (T > Tmin) do 6 I ← 1 7 while (t < ltermax)do 8 X' ← FindNeighborSolution(X) 9 (flow,cost) ← NonLinearComplementary(X') 10 f(X') ← EvaluateObf Val (f low, Cost) 11 Δ ←(f(x) - f(x')) 12 if(Δ<0)then 13 BoltzmannValue ← exp(-Δ/T) 14 if (BoltzmannValue < Random (0,1)) then 15 Accept the new solution: X ← X' 16 end If 17 Else I8 Accept the new solution: X ← X' 19 end if 20 i ← i+1 21 end while 22 T ←T ∞ 23 end while ________