Search for tag: "simplex"

MAT168L17

From  Acadia Larsen 0 likes 0 plays 0  

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…

From  Acadia Larsen 0 likes 3 plays 0  

L14MATH168

Phase 1 of simplex method and examples with pivot tools.

From  Acadia Larsen 0 likes 2 plays 0  

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…

From  Acadia Larsen 0 likes 2 plays 0  

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 16 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 32 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 34 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 37 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 49 plays 0  

2020-10-19: Primal simplex method, phase I (MAT 168 Optimization)

Primal phase I of the simplex method. Definition of extreme points. notes-2020-10-19.pdf Videos and all other materials are copyright 2020 Matthias Köppe and shared as Open Educational…

From  Matthias Koeppe 0 likes 88 plays 0