Steve Maher - Benders Decomposition: Fundamentals
Benders' decomposition is a popular mathematical programming technique for solving large scale optimisation problems. While Benders' decomposition is historically viewed as requiring a problem specific implementation, general frameworks can provide an ideal platform for the investigation of general algorithm enhancement techniques. In this lecture I will discuss the fundamentals of Benders' decomposition and the key mathematical results. For some background reading on the fundamentals of Benders' decomposition I suggest looking at the blog post by Arthur Maheo A Short Introduction to Benders. https://arthur.maheo.net/a-short-intr...

▶︎
Steve Maher - Benders Decomposition: Implementations

▶︎
Duality: Lagrangian and dual problem

▶︎
Introduction to Bilevel Optimization, Linear Bilevel Problems, and Maybe Beyond - Part 1/2

▶︎
Benders Day - John Hooker - Logic-Based Benders Decomposition

▶︎
Lecture 21 Stochastic Programming and Benders Decomposition

▶︎
Discrete Optimization || 09 MIP 3 cutting planes Gomory cuts 20 47

▶︎
Robustness, Stochastics, Uncertainty 3

▶︎
Benders Decomposition for Two-Stage Stochastic LP with Fixed Recourse

▶︎
Benders Decomposition: An Easy Example

▶︎
Marco Lübbecke - Column Generation, Dantzig-Wolfe, Branch-Price-and-Cut

▶︎
Dantzig-Wolfe Decomposition: Intro

▶︎
Phebe Vayanos, Robust Optimization & Sequential Decision-Making

▶︎
An Introduction to Benders Decomposition

▶︎
9. Lagrangian Duality and Convex Optimization

▶︎
Dantzig-Wolfe Decomposition: A Simple Example

▶︎
Benders Day - Stephen Maher - Should you implement Benders' decomposition?

▶︎
Warren Powell, "Stochastic Optimization Challenges in Energy"

▶︎
Lecture 9: Benders’ decomposition: Theory

▶︎
Benders Decomposition

▶︎
