Physics

Physics, 04.12.2019 02:31, RKennedy3654

Find an augmenting path p with at least one backward edge for the flow φ in the network shown in figure 13.8. what is the value of δ for p? carry out an update of φ using p to obtain a new flow φˆ. what is the value of φˆ?

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Computers and Technology, 29.06.2019 00:10, queeneaf

Explain the difference between/how to find the 1) residual network of a flow 2) the augmenting path of a flow network even provide a worked example or something because i'm really struggling with this part of my study.

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Engineering, 22.11.2019 23:31, sodiumvlogsYT

Suppose that each edge e = (u, v) in a flow network g = (v, e) has not only an upper bound ce on the net flow from u to v, but also a lower bound be. that is, any flow f in the network must satisfy be ≤ f(e) ≤ ce, for all edges e. it may be the case that for a network no such feasible flow exists. for a cut (a, b), let us define c(a, b) = p e=(u,v),u∈a,v∈b ce, and b(a, b) = p e=(u,v),u∈a,v∈b be. (a) prove that if f is a flow in the network, then the value v(f) of the flow satisfies v(f) ≤ c(a, b) − b(b, a) for any cut (a, b) of g. (b) prove that the value of a maximum flow in the network, if it exists, is the minimum value of c(a, b) − b(b, a) over all cuts (a, b) of the network.

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Mathematics, 26.11.2019 01:31, 453379

Call the collection of the following steps of the ford-fulkerson algorithm an iteration of the algorithm a) from the current flow, the residual network is constructed; b) a path p from s to t in the residual network is found; c) the original flow is augmented along p. as in class, at a given iteration let e be the minimum capacity of the arcs of a path from s to t in the residual network. instead of augmenting by e as seen in class, suppose that at each iteration you augment by e/2. how many iterations does the ford and fulkerson algorithm performs before finding the optimal solution?

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