Everything About ___
Live briefing

Everything about Benson's algorithm

Benson's algorithm, named after Harold Benson, is a method for solving multi-objective linear programming problems and vector linear programs. This works by finding the "efficient extreme points in the outcome set". The primary concept in Benson's algorithm is to evaluate the upper image of the vector optimization problem by cutting planes. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Benson's algorithmA 5-minute orientation
  2. Pick up a classic book: Modeling and Optimization: Theory and ApplicationsThe most-reprinted book on the subject
  3. Read the landmark paper: A Benson-type algorithm for bounded convex vector optimization problems with vertex selectionCited 16 times
  4. Go sideways: Multi-objective linear programmingA closely related topic
  5. Go sideways: Semidefinite programmingA closely related topic

đź“– Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Idea of algorithm
  2. Dual algorithm
  3. Implementations

🏆 Landmark papers (most cited)

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

đź”— Related topics