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simplex method

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simplex method

[′sim‚pleks ¦meth·əd]
(mathematics)
A finite iterative algorithm used in linear programming whereby successive solutions are obtained and tested for optimality.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

simplex method

(algorithm)
An algorithm for solving the classical linear programming problem; developed by George B. Dantzig in 1947.

The simplex method is an iterative procedure, solving a system of linear equations in each of its steps, and stopping when either the optimum is reached, or the solution proves infeasible. The basic method remained pretty much the same over the years, though there were many refinements targeted at improving performance (eg. using sparse matrix techniques), numerical accuracy and stability, as well as solving special classes of problems, such as mixed-integer programming.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)
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References in periodicals archive
Then a simplex algorithm has been proposed to solve such N LP-problems.
Generalised single valued neutrosophic number and its application to neutrosophic linear programming
Nelder-Mead Simplex Algorithm was proposed in 60's and it had been enormously popular direct search method for unconstrained minimization.
LOW COST EFFICIENT REMEDIAL STRATEGY FOR STAGNATED NELDER MEAD SIMPLEX METHOD
Several iterative algorithms, which consist in generating a sequence of testing and updating of a trial solution based on a linear least-squares algorithm, were applied to obtain the optimal source locations coordinates: grid search, simplex algorithm, Geiger's method [10],...
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It begins with an approach to problem formulation, then describes geometric motivation, linear algebra and algebraic steps related to the simplex algorithm, standard phase 1 problems, and computational implementation of the simplex algorithm.
Linear Programming: An Introduction to Finite Improvement Algorithms, 2nd Edition (reprint, 1984)
The simplex algorithm [15] is the classical method for solving linear programs.
Optimal deployment and scheduling with directional sensors for energy-efficient barrier coverage
[28] proposed a gray-encoded hybrid accelerating genetic algorithm (GHAGA) with Nelder-Mead simplex searching operator and simplex algorithm for the global optimization of dynamical systems.
Modeling and dynamical analysis of the water resources supply-demand system: a case study in Haihe River Basin
Like the simplex algorithm, the NNLS algorithm by Kong (2007) has a basis B consisting of a set of linearly independent columns of E used for solving a system of equations.
Linear inequalities via least squares/Lineaarsed vorratused vahimruutude meetodi abil
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