push–relabel algorithm (alternatively, preflow–push algorithm) is an algorithm for computing maximum flows in a flow network. The name "push–relabel"...
35 KB (4,259 words) - 12:31, 14 March 2025
flow algorithm of Dinitz; the push-relabel algorithm of Goldberg and Tarjan; and the binary blocking flow algorithm of Goldberg and Rao. The algorithms of...
42 KB (5,243 words) - 08:03, 12 July 2025
science, 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...
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minimum-cost flow: 326–331 The push–relabel maximum flow algorithm, one of the most efficient known techniques for maximum flow Otherwise the problem can be...
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nodes. As such, efficient algorithms for solving network flows can also be applied to solve problems that can be reduced to a flow network, including survey...
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of the push-relabel algorithm. Network simplex algorithm: a specialized version of the linear programming simplex method. Out-of-kilter algorithm by D....
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|V|}}}\right)} . Their algorithm is based on using a push-relabel maximum flow algorithm and then, when the matching created by this algorithm becomes close to...
25 KB (3,746 words) - 14:52, 14 May 2025
Dinic's algorithm or Dinitz's algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli...
12 KB (1,693 words) - 17:06, 20 November 2024
Blum Shub proposed by L. Blum, M. Blum, and M. Shub 1986 – Push relabel maximum flow algorithm by Andrew Goldberg and Robert Tarjan 1986 – Barnes–Hut tree...
20 KB (2,080 words) - 00:53, 13 May 2025
Branch and bound (redirect from Branch-and-bound algorithm)
generality, since one can find the maximum value of f(x) by finding the minimum of g(x) = −f(x). A B&B algorithm operates according to two principles:...
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algorithm: computes the maximum flow in a graph Karger's algorithm: a Monte Carlo method to compute the minimum cut of a connected graph Push–relabel...
72 KB (7,951 words) - 17:13, 5 June 2025
In numerical optimization, the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is an iterative method for solving unconstrained nonlinear optimization...
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Nelder–Mead method (redirect from Nelder-Mead algorithm)
or polytope method) is a numerical method used to find the minimum or maximum of an objective function in a multidimensional space. It is a direct search...
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Linear programming (redirect from Algorithms for linear programming)
as network flow problems and multicommodity flow problems, are considered important enough to have much research on specialized algorithms. A number of...
61 KB (6,690 words) - 17:57, 6 May 2025
Matching (graph theory) (redirect from Maximum bipartite matching)
Parallel Algorithms for Graph Matching Problems, Oxford University Press, ISBN 978-0-19-850162-6 A graph library with Hopcroft–Karp and Push–Relabel-based...
24 KB (3,032 words) - 23:25, 29 June 2025
In mathematics and computing, the Levenberg–Marquardt algorithm (LMA or just LM), also known as the damped least-squares (DLS) method, is used to solve...
22 KB (3,211 words) - 07:50, 26 April 2024
computer science and operations research, the ant colony optimization algorithm (ACO) is a probabilistic technique for solving computational problems...
77 KB (9,484 words) - 10:31, 27 May 2025
A greedy algorithm is any algorithm that follows the problem-solving heuristic of making the locally optimal choice at each stage. In many problems, a...
18 KB (1,964 words) - 16:36, 25 July 2025
Sequential quadratic programming (category Optimization algorithms and methods)
h(x_{k})^{T}d\geq 0\\&g(x_{k})+\nabla g(x_{k})^{T}d=0.\end{array}}} The SQP algorithm starts from the initial iterate ( x 0 , λ 0 , σ 0 ) {\displaystyle (x_{0}...
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Dynamic programming (redirect from List of algorithms that use dynamic programming)
Dynamic programming is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s and...
59 KB (9,166 words) - 09:27, 4 July 2025
Assignment problem (section Algorithms)
practice. These algorithms are called auction algorithms, push-relabel algorithms, or preflow-push algorithms. Some of these algorithms were shown to be...
20 KB (2,960 words) - 14:39, 21 July 2025
Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming.[failed verification] The name of the algorithm is derived from...
42 KB (6,261 words) - 00:52, 18 July 2025
Quadratic programming (category Optimization algorithms and methods)
Kapoor, S; Vaidya, P M (1986-11-01). "Fast algorithms for convex quadratic programming and multicommodity flows". Proceedings of the eighteenth annual ACM...
22 KB (1,931 words) - 05:55, 18 July 2025
Limited-memory BFGS (category Optimization algorithms and methods)
an optimization algorithm in the collection of quasi-Newton methods that approximates the Broyden–Fletcher–Goldfarb–Shanno algorithm (BFGS) using a limited...
16 KB (2,399 words) - 19:32, 25 July 2025
Column generation (category Optimization algorithms and methods)
Column generation or delayed column generation is an efficient algorithm for solving large linear programs. The overarching idea is that many linear programs...
8 KB (1,360 words) - 06:43, 28 August 2024
Interior-point method (category Optimization algorithms and methods)
IPMs) are algorithms for solving linear and non-linear convex optimization problems. IPMs combine two advantages of previously-known algorithms: Theoretically...
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problem using the max-flow min-cut theorem and a polynomial time algorithm for maximum flow, such as the push-relabel algorithm, though this approach...
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Hill climbing (redirect from Hill-climbing algorithm)
not convex hill climbing may often fail to reach a global maximum. Other local search algorithms try to overcome this problem such as stochastic hill climbing...
13 KB (1,637 words) - 12:31, 7 July 2025
Fourier–Motzkin elimination (category Optimization algorithms and methods)
a mathematical algorithm for eliminating variables from a system of linear inequalities. It can output real solutions. The algorithm is named after Joseph...
14 KB (2,492 words) - 00:49, 1 April 2025
Newton's method (redirect from Newton-Raphson Algorithm)
method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes)...
71 KB (9,136 words) - 10:06, 10 July 2025