Search for tag: "simplex"

MATH168L24

From  Acadia Larsen 0 likes 2 plays 0  

MAT168L17

Continuation of modern geometric descriptions of polyhedrons. Included are definitions of convex polyhedron, half spaces, hyperplanes, affine dimension, and some connections to Linear Programming.

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L15MATH168

Discussion of simplex method with respect to convergence, degeneracy of pivots, pivot rules, and optimality. Improvement of theorems in previous lectures so now we can guarantee that the simplex…

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L14MATH168

Phase 1 of simplex method and examples with pivot tools.

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MATH168L11

Terminology and notation for the simplex method. Dictionaries, basis, slack variables, basic feasible solutions and the relationship between these. Certification of results in terms of the objective…

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MAT 168 Optimization lecture-2023-03-01

From  Matthias Koeppe 0 likes 18 plays 0  

MAT 168 Optimization lecture-2023-02-27

From  Matthias Koeppe 0 likes 19 plays 0  

lecture-2023-02-03.mov

From  Matthias Koeppe 0 likes 18 plays 0  

LP Polyhedra-Lec13

perturbation method, complexity of simplex method, primal and dual dictionaries.

From  Jesus De Loera 0 likes 22 plays 0  

LP Polyhedra-Lec11

more on simplex method

From  Jesus De Loera 0 likes 36 plays 0  

Guido Montufar: Optimal Transport to Independence Models

See https://sites.google.com/view/maddd/ for the details.

From  Naoki Saito 0 likes 41 plays 0  

2020-11-23: Cutting plane algorithms (MAT 168 Optimization)

Separation of constraints within a cutting-plane algorithm for solving an LP with exponentially many constraints. Warm starts: Adding a valid inequality to a dictionary by rewriting it in the…

From  Matthias Koeppe 0 likes 33 plays 0  

2020-11-16: LP duality, complementarity (MAT 168 Optimization)

Dual (complementary) basis; dual dictionary, negative transpose property of the dictionary pair; complementarity of primal and basic dual solutions; dual simplex method; complementary slackness…

From  Matthias Koeppe 0 likes 41 plays 0  

2020-11-02: Transportation, min-cost flow problems (MAT 168 Optimization)

Structure of the node-arc incidence matrix, rank deficiency. Generalizing the classic transportation problem to transportation problems with transshipment nodes, and to general (single commodity)…

From  Matthias Koeppe 0 likes 35 plays 0  

2020-10-28: LP pivot rules, fundamental theorem (MAT 168 Optimization)

Pivot rules. Unboundedness. The simplex method with lexicographic perturbation and a deterministic pivot rule as an algorithm. Fundamental theorem of linear optimization. Preview of LP development…

From  Matthias Koeppe 0 likes 39 plays 0  

2020-10-26: Simplex method with perturbations (MAT 168 Optimization)

Resolving degeneracy using lexicographic perturbations. Finite termination of the simplex method with lexicographic perturbations. notes-2020-10-26.pdf Videos and all other materials are copyright…

From  Matthias Koeppe 0 likes 50 plays 0