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2020-12-07: Stable set problem, induced face dimension (MAT 168 Optimization)

Determining the dimension of the face induced by a valid inequality for the stable set problem: Cycle inequality, lifted cycle inequality, clique inequality, edge inequality. notes-2020-12-07.pdfThe…

From  Matthias Koeppe on December 7th, 2020 0 likes 19 plays 0  

2020-12-04: Stable set problem, formulations/cuts (MAT 168 Optimization)

The stable set (independent set) problem: Integer programming formulations, Chvátal–Gomory cuts. notes-2020-12-04.pdf Videos and all other materials are copyright 2020 Matthias…

From  Matthias Koeppe on December 4th, 2020 0 likes 16 plays 0  

2020-10-21: LP reformulations, geometry (MAT 168 Optimization)

The operation of introducing slack variables as an "extended formulation". Reformulating problems with free variables to obtain a problem in standard form, viewed as another extended…

From  Matthias Koeppe on October 21st, 2020 0 likes 33 plays 0  

2020-10-14: Primal simplex method, index set notation (MAT 168 Optimization)

Clarification on the terms "standard (inequality) form" vs. "standard equation form" of a linear optimization problem. Index sets for basic and nonbasic variables. A step of the…

From  Matthias Koeppe on October 14th, 2020 0 likes 34 plays 0