Flux
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Un exemple de graphe de flot avec un flot maximum. la source est , et le puits . Les nombres indiquent le flot et la capacité.
Problème de flot maximum - Wikipédia
Algorithme de Ford-Fulkerson - Wikipédia
Un article de Wikipédia, l'encyclopédie libre. L' algorithme de Ford-Fulkerson , du nom de ses auteurs L.R. Ford et D.R. Fulkerson , consiste en une procédure itérative qui permet de déterminer un flot (ou flux) de valeur maximale (ou minimale) à partir d'un flot constaté.
Algorithme de Dantzig-Ford - Wikipédia
Un article de Wikipédia, l'encyclopédie libre. L'algorithme de Ford-Dantzig résout un problème de plus court chemin . Il sert à trouver un chemin optimal (le plus court ou bien le plus long) entre deux sommets d'un graphe orienté. Le graphe peut être avec ou sans circuit et les poids ( longueur ) peuvent être positifs ou négatifs ( contrairement à l' algorithme de Dijkstra ).Maximum flow problem - Wikipedia, the free encyclopedia - Mozill
An example of a flow network with a maximum flow. The source is , and the sink . The numbers denote flow and capacity.
Push-relabel maximum flow algorithm - Wikipedia, the free encycl
The push-relabel algorithm is one of the most efficient algorithms to compute a maximum flow . The general algorithm has time complexity, while the implementation with FIFO vertex selection rule has running time, the highest active vertex selection rule provides complexity, and the implementation with Sleator 's and Tarjan 's dynamic tree data structure runs in time. Asymptotically, it is more efficient than the Edmonds-Karp algorithm , which runs in time. [ edit ] Algorithm
In computer science and graph theory , the Edmonds–Karp algorithm is an implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in O ( V E 2 ) time. It is asymptotically slower than the relabel-to-front algorithm , which runs in O ( V 3 ) time, but it is often faster in practice for sparse graphs . The algorithm was first published by a Soviet scientist, Yefim (Chaim) Dinic, in 1970, [ 1 ] and independently by Jack Edmonds and Richard Karp in 1972 [ 2 ] . Dinic's algorithm includes additional techniques that reduce the running time to O ( V 2 E ). [ edit ] Algorithm
Edmonds-Karp algorithm - Wikipedia, the free encyclopedia
Linear programming ( LP , or linear optimization ) is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linear relationships. Linear programming is a specific case of mathematical programming ( mathematical optimization ). More formally, linear programming is a technique for the optimization of a linear objective function , subject to linear equality and linear inequality constraints . Its feasible region is a convex polyhedron , which is a set defined as the intersection of finitely many half spaces , each of which is defined by a linear inequality. Its objective function is a real -valued affine function defined on this polyhedron.
Linear programming - Wikipedia, the free encyclopedia