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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…
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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…
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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…
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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…
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2020-10-12: LP dictionaries, basic solutions (MAT 168 Optimization)Linear optimization problems in standard form. Linear algebra review: Rank of a matrix. Introducing slack variables. Dictionary, basic and nonbasic variables, basic solution. notes-2020-10-12.pdf …
From Matthias Koeppe
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