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Everything about Multi-objective optimization

Mathematical concept

In multiple-criteria decision making, multi-objective optimization or Pareto optimization is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously. Multi-objective is a type of vector optimization that has been applied in many fields of science, including engineering, economics and logistics where optimal decisions need to be taken in the presence of trade-offs between two or more conflicting objectives. Minimizing cost while maximizing comfort while buying a car, and maximizing performance whilst minimizing fuel consumption and emission of pollutants of a vehicle are examples of multi-objective optimization problems involving two and three objectives, respectively. In practical problems, there can be more than three objectives. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Multi-objective optimizationA 5-minute orientation
  2. Skim a recent paper: A comprehensive survey on NSGA-II for multi-objective optimization and applicationsInfluential work since 2022
  3. Pick up a classic book: Optimal Design of Complex Mechanical SystemsThe most-reprinted book on the subject
  4. Read the landmark paper: Handling multiple objectives with particle swarm optimizationCited 4,090 times
  5. Go sideways: Pareto frontierA closely related topic
  6. Go sideways: Fitness functionA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Introduction
  2. Examples of applications
  3. Solution
  4. No-preference methods
  5. A priori methods
  6. A posteriori methods
  7. Interactive methods
  8. Hybrid methods
  9. Visualization of the Pareto front

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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

🔗 Related topics