ISE Lec_14 ppt - Lecture Set 10 Preflow-Push Algorithm...

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Unformatted text preview: Lecture Set 10 Preflow-Push Algorithm Chapter: 7.6 Preflow Push This is the original network, plus reversals of the arcs. Preflow Push This is the original network, and the original residual network. Initialize Distances The node label henceforth will be the distance label. d(j) is at most the distance of j tot in G(x) Saturate Arcs out of node s Saturate arcs out of node s. Move excess to the adjacent arcs Relabel node 5 after all incident arcs have been saturated. Select, then relabel/push Select an active node, that is, one with excess Push/Relabel Update excess after a push Select, then relabel/push Select an active node, that is, one with excess No arc incident to the selected node is admissible. So relabel. Select, then relabel/push Select an active node, that is, one with excess Push/Relabel Select, then relabel/push Select an active node. Push/Relabel Select, then relabel/push o E @@ Select an active node. Push/Relabel Select, then relabel/push Select an active node. There is no incident admissible arc. So Relabel. Select, then relabel/puih Select an active node. Push/Relabel Select, then relabel/push Select an active node. There is no incident admissible arc. So relabel. Select, then relabel/push Select an active node. Push/Relabel Select an active node. Push/Relabel Select, then relabel/push @QGDQ @ O @Q O-le-hm Select an active node. Push/Relabel Select, then relabel/push Select an active node. Push/Relabel Select, then relabel/pufil? 1 @QQGD 961). @@ O‘Nth‘l Select an active node. Push/Relabel Select, then relabel/push [email protected]_+" %@@@®@O @@ One can keep pushing flow between nodes 2 and 5 until eventually all flow returns to node s. There are no paths from nodes 2 and 5 to t, and there are ways to speed up the last iterations. 10 ...
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