Search for tag: "optimality"

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MATH168L24 duration 51 minutes 8 seconds MATH168L24 MATH168L24	MATH168L24 solution problem epsilon transpose things dictionary constraints variables method degeneracy simplex function dual bit thing optimization optimality primal progress property From Acadia Larsen 0 likes 2 plays 0
L15MATH168 duration 49 minutes 43 seconds L15MATH168 L15MATH168	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… problem basis solution pivot infeasibility method simplex variable phase degeneracy proof dictionary optimality ratio thing steps function procedure column objective From Acadia Larsen 0 likes 4 plays 0
MATH168L12 duration 50 minutes 15 seconds MATH168L12 MATH168L12	MATH168L12 Simplex method computations with a discussion of dictionaries and corresponding solutions. solution basis function variable quarters dictionary problem optimality times step form direction formula basics hand proof variables format things objective From Acadia Larsen 0 likes 4 plays 0
MAT 168 Optimization lecture-2023-02-27 duration 51 minutes 8 seconds MAT 168 Optimization lecture-2023-02-27 MAT 168 Optimization lecture-2023-02-27	MAT 168 Optimization lecture-2023-02-27 bar dictionary basis complementarity solution solutions variables problem method simplex side pair degeneracy notation optimality complimentarity star hat idea alright From Matthias Koeppe 0 likes 20 plays 0
MAT 168 Optimization lecture-2023-02-24 duration 51 minutes 9 seconds MAT 168 Optimization lecture-2023-02-24 MAT 168 Optimization lecture-2023-02-24	MAT 168 Optimization lecture-2023-02-24 transpose variables basis solution duality columns inequality theorem slacks things b. sum optimality slack alright problem star criterion dictionary matrix From Matthias Koeppe 0 likes 10 plays 0
2020-11-30: Logical and mixed 0/1 modeling (MAT… duration 51 minutes 10 seconds 2020-11-30: Logical and mixed 0/1 modeling (MAT… 2020-11-30: Logical and mixed 0/1 modeling (MAT 168 Optimization)	2020-11-30: Logical and mixed 0/1 modeling (MAT 168 Optimization) Modeling logical AND using 4 no-good inequalities from the truth table; or using 3 facet-defining inequalities. Mixed 0/1 modeling: Extended formulations of models with fixed charge costs or… inequalities inequality cost point variables formulation charge situation linear xi minus solution optimality argument hand times interpretation xij flow side From Matthias Koeppe 0 likes 28 plays 0
2020-11-16: LP duality, complementarity (MAT 168… duration 59 minutes 53 seconds 2020-11-16: LP duality, complementarity (MAT 168… 2020-11-16: LP duality, complementarity (MAT 168 Optimization)	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… dictionary variables basis bar method simplex solution solutions coefficients theorem problem complementarity thing slack optimality sum side fact feasibility function From Matthias Koeppe 0 likes 41 plays 0
2020-10-28: LP pivot rules, fundamental theorem… duration 50 minutes 18 seconds 2020-10-28: LP pivot rules, fundamental theorem… 2020-10-28: LP pivot rules, fundamental theorem (MAT 168 Optimization)	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… phase problem solution optimality basis dictionary method simplex rules rule theorem bit pivot point ratio variables thing variable choices algorithm From Matthias Koeppe 0 likes 40 plays 0