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Lagrangian Duality and Weak Duality Theorem
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An Improved Approximation for Maximum k-Dependent Set on Bipartite Graphs
Introduction to Networks: Basic Definitions and Notation
Intro to Network Optimization
Benders Decomposition for Two-Stage Stochastic LP with Fixed Recourse
Two-Stage Stochastic LP Formulation: A Farming Example
Dantzig-Wolfe Decomposition for LPs with Block Diagonal Structure: An Example
Dantzig-Wolfe Decomposition for Block Diagonal LPs
Dantzig-Wolfe Decomposition: An Example of LP with Unbounded Simple Set
Dantzig-Wolfe Decomposition: The Case of Unbounded Set for "Easy Constraints"
Dantzig-Wolfe Decomposition: A Simple Example
Column Generation: A Basic Scheme
Dantzig-Wolfe Decomposition: Intro
Column Generation for the Cutting Stock Problem
A Dynamic Programming Algorithm for the Knapsack Problem
The Primal-Dual Simplex Method: An Example
The Primal-Dual Simplex Method
KKT Optimality Conditions for LP
Gomory Cut
Parametric Linear Programming
Global Dependence of the Optimal Objective Value of LP on the Right-hand sides and Obj Coefficients
Farkas' Lemma