simplex method

Standard technique in linear programming for solving an optimization problem, typically one involving a function and several constraints expressed as inequalities. The inequalities define a polygonal region (see polygon), and the solution is typically at one of the vertices. The simplex method is a systematic procedure for testing the vertices as possible solutions.

simplex method [′sim‚pleks ¦meth·əd]

(mathematics)

A finite iterative algorithm used in linear programming whereby successive solutions are obtained and tested for optimality.

(algorithm)

simplex method - 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.

Mentioned in	?		References in periodicals archive	?		Encyclopedia browser	?		Full browser	?
No references found	Among this family of methods, the Nelder-Mead simplex algorithm is probably one of the most popular. Optimization of preform temperature distribution for the stretch-blow ... by Bordival, M.; Schmidt, F.M.; Maoult, Y. Le; Velay, V. / Polymer Engineering and Science A simplex algorithm finding maximal networks flows and an application to the Hitchock problem. Region merging via graph-cuts by Stawiaski, Jean; Decenciere, Etienne / Image Analysis and Stereology Sequential optimization and optimization with the downhill simplex algorithm (DSA) were carried out. Noninvasive, automatic optimization strategy in cardiac ... by Reumann, Matthias; Osswald, Brigitte; Doessel, Olaf / The Anatolian Journal of Cardiology (Anadolu Kardiyoloji Dergisi)	Simple Pendulum simple pistil simple pit simple point simple polyhedron Simple Protein simple random samples simple results simple ring simple root simple salt simple shear Simple Simon simple sound source simple spit simple stomach simple strain Simple Substance simple tone simple tubular gland simple twin simple valley simple vault Simpleton Simplex Simplex algorithm simplex casement simplex channel simplex concrete pile simplex machine simplex method simplex printer simplex pump simplex structure simplex transmission simplex uterus simplicial complex simplicial graph simplicial homology simplicial mapping simplicial subdivision Simplicidentata Simplicissimus Simplified Multicast Routing Protocol Simplon Simplon Pass Simply Connected Region simply connected space simply normal number simply ordered set simply periodic function	Simples Simples Simples Simples Simpless Simplesse simplest simplest simplest simplest simplest simplest Simplest Possible Number Simplest Thing That Could Possibly Work simpleton simpleton simpletons simpletons SIMPLEV simplex simplex simplex simplex Simplex (abstract) Simplex (abstract) Simplex (abstract) Simplex (mathematics) Simplex (mathematics) Simplex (mathematics) Simplex 2-Wire Status Simplex algorithm simplex casement Simplex channel Simplex communication simplex concrete pile Simplex Curve-Fitting Algorithm simplex machine Simplex method simplex methods simplex printer Simplex printing simplex pump Simplex signaling simplex structure Simplex Teletype Over Radio Simplex Telex over Radio simplex transmission simplex uterus simplexes simplexes simplexes simplexin Simplexvirus simplices simplices simplices Simplicial Simplicial Simplicial Simplicial complex Simplicial complexes

Mentioned in

References in periodicals archive

Encyclopedia browser

Full browser

No references found

Among this family of methods, the Nelder-Mead simplex algorithm is probably one of the most popular.

Optimization of preform temperature distribution for the stretch-blow ... by Bordival, M.; Schmidt, F.M.; Maoult, Y. Le; Velay, V. / Polymer Engineering and Science

A simplex algorithm finding maximal networks flows and an application to the Hitchock problem.

Region merging via graph-cuts by Stawiaski, Jean; Decenciere, Etienne / Image Analysis and Stereology

Sequential optimization and optimization with the downhill simplex algorithm (DSA) were carried out.

Noninvasive, automatic optimization strategy in cardiac ... by Reumann, Matthias; Osswald, Brigitte; Doessel, Olaf / The Anatolian Journal of Cardiology (Anadolu Kardiyoloji Dergisi)

simplex method (redirected from Simplex algorithm)

simplex method

simplex method
(redirected from Simplex algorithm)