16 18 B D 15 F 18 15. H 7 10 Consider the network diagram given with the indicated flow capacities along each branch. Assume that all branches are directed branches. For example, flow from A to B is 18 units at most; and flow from B to A is O units at most. Determine the maximal flow through the network from A to J. The maximum flow through the network from A to J is units.
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- Define an augmenting path in a flow network. Apply Ford Fulkerson's method to compute the maximum flow in a given network. S 3 3 2 A 1 B 1 2 1Given a flow network G = (V, E) and any flow between s and t, let (A,B) be a minimum cut. Then, what's the relation between the maximum possible net flow between s and t, and the capacity of the cut (A, B). (a) (b) (c) Greater than Less than Equal to (d) Can't determine the relationUsing Ford-Fulkerson algorithm, determine the maximum flow from the source S to sink t in the graph provided.
- For traffic signal control in a T junction: · Provide the allocation List · Draw the Grafcet and obtain the grafcet equation · Develop the ladder programming from the grafcet Figure below shows the T junction with three traffic signals. Each traffic light cycles through red (i.e. stop) time depends on the other two signals, red & amber (i.e. get ready to go) for 5 seconds, green (go) for 20 seconds, and amber (stop if safe to do so) for 5 seconds.Obtain a maximum flow and a minimum cut in the following network27. Find the maximum flow of graph K. Find the flow of each path, then determine the maximum flow. 650 900 350 550 550 200 K3 a. The path of (s, a, c, t) has flow: The maximum flow is: b. The path of (s, b, c, 1) has flow: The maximum flow is: c. The path of (s, b, 1) has flow: The maximum flow is: d. The total maximum flow is:
- Given a flow network as below with S and T as source and sink (destination). The pair of integers on each edge corresponds to the flow value and the capacity of that edge. For instance, the edge (S.A) has capacity 16 and currently is assigned a flow of 5 (units). Assume that we are using the Ford-Fullkerson's method to find a maximum flow for this problem. Fill in the blanks below with your answers. a) An augmenting path in the corresponding residual network is Note: give you answer by listing the vertices along the path, starting with S and ending with T, e.g., SADT (note that this is for demonstration purpose only and may not be a valid answer), with no spaces or punctuation marks, i.e., no commas "," or full stops ".". If there are more than one augmenting path, then you can choose one arbitrarily. b) The maximum increase of the flow value that can be applied along the augmenting path identified in Part a) is c) The value of a maximum flow is Note: your answers for Part b) and Part…How do I find the maximum flow from s to t of figure 2 & it’s capacity?Consider the flow network shown in the following figure (left), where the label next to each arc is its capacity, and the initial s-t flow on right. (b) Apply the Ford-Fulkerson algorithm to N starting from the flow f. The augmenting path used in each step of the algorithm must be given. (c) Give the cut that corresponds to the maximum flow obtained in (b), which is suggested in the Max-Flow-Min-Cut theorom.
- Given the following flow graph. Determine the maximum flow from S to T. Be sure to show all the iterations including the residual graphs. 10 8 10 10 10 4 9Q3 (32 points) Figure 2 shows a potential function with incident particles coming from -o with a total energy Vị a. Do not solve for the constants of the wave functions (16 points). Incident particles V,6. Show all the stages of applying Ford-Fulkerson algorithm to find the maximum flow for the following network: S 2 a 2 3 1 4 t 3 b 2 dSEE MORE QUESTIONS