• pushrelabel algorithm (alternatively, preflow–push algorithm) is an algorithm for computing maximum flows in a flow network. The name "pushrelabel"...
    35 KB (4,259 words) - 12:31, 14 March 2025
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    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...
    9 KB (1,121 words) - 07:46, 4 April 2025
  • minimum-cost flow: 326–331  The pushrelabel maximum flow algorithm, one of the most efficient known techniques for maximum flow Otherwise the problem can be...
    3 KB (440 words) - 04:50, 22 June 2025
  • |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
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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...
    22 KB (3,081 words) - 08:39, 17 July 2025
  • of the push-relabel algorithm. Network simplex algorithm: a specialized version of the linear programming simplex method. Out-of-kilter algorithm by D....
    10 KB (1,399 words) - 12:24, 23 June 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
  • 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:...
    20 KB (2,416 words) - 20:33, 2 July 2025
  • In numerical optimization, the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is an iterative method for solving unconstrained nonlinear optimization...
    18 KB (2,987 words) - 11:19, 1 February 2025
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    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...
    17 KB (2,379 words) - 16:52, 25 April 2025
  • Parallel Algorithms for Graph Matching Problems, Oxford University Press, ISBN 978-0-19-850162-6 A graph library with Hopcroft–Karp and PushRelabel-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
  • algorithm: computes the maximum flow in a graph Karger's algorithm: a Monte Carlo method to compute the minimum cut of a connected graph Pushrelabel...
    72 KB (7,951 words) - 17:13, 5 June 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}...
    9 KB (1,477 words) - 10:15, 24 July 2025
  • Thumbnail for Ant colony optimization algorithms
    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
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    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
  • Thumbnail 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
  • 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
  • Thumbnail for 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
  • 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
  • Thumbnail for Greedy algorithm
    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
  • [CGR96][GH05] including the discovery of the pushrelabel maximum flow algorithm.[GT88] He also worked on algorithmic game theory, where he was one of the first...
    7 KB (377 words) - 16:56, 22 December 2024
  • 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
  • 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
  • Thumbnail for Interior-point method
    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...
    30 KB (4,691 words) - 00:20, 20 June 2025
  • Sequential linear-quadratic programming (category Optimization algorithms and methods)
    Greedy algorithm Integer programming Branch and bound/cut Graph algorithms Network flows Dinic Edmonds–Karp Ford–Fulkerson Pushrelabel maximum flow...
    3 KB (621 words) - 23:43, 5 June 2023
  • Thumbnail for Karger's algorithm
    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...
    13 KB (2,303 words) - 17:39, 17 March 2025
  • Augmented Lagrangian method (category Optimization algorithms and methods)
    Augmented Lagrangian methods are a certain class of algorithms for solving constrained optimization problems. They have similarities to penalty methods...
    15 KB (1,940 words) - 06:08, 22 April 2025