# A Framework for Generalized Benders' Decomposition and Its Application to Multilevel Optimization

arXiv: https://arxiv.org/abs/2104.06496 · HTML: https://mlsanity.com/paper/2104.06496/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 13 Apr 2021.

## Built on by (most cited first, 1 of 1)

- [On Stability in Optimistic Bilevel Optimization](https://mlsanity.com/paper/2408.13323/) (2024)

## Abstract (arXiv)

We describe a framework for reformulating and solving optimization problems that generalizes the well-known framework originally introduced by Benders. We discuss details of the application of the procedures to several classes of optimization problems that fall under the umbrella of multilevel/multistage mixed integer linear optimization problems. The application of this abstract framework to this broad class of problems provides new insights and a broader interpretation of the core ideas, especially as they relate to duality and the value functions of optimization problems that arise in this context.