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Advanced Enclosure Algorithm for Multi-Objective Optimization Problems

Home Page: https://doi.org/10.1016/j.ejor.2023.02.032

License: MIT License

MATLAB 43.91% Jupyter Notebook 2.92% Python 53.17%
convex-optimization enclosure mixed-integer-nonlinear-programming mixed-integer-optimization multi-objective-optimization multiple-objectives-optimization

adena's Introduction

AdEnA

This repository contains a Matlab and a Python implementation of the Advanced Enclosure Algorithm to solve multi-objective optimization problems.

Getting Started

You can start using AdEnA by downloading or cloning this repository using the green button near the top of the GitHub page. Then, just open the UserFile.m to access the Matlab implementation or the UserFile.ipynb for a Jupyter Notebook to access the Python implementation. Both serve as an interface to AdEnA and provide all instructions that you need to get started.

References

As this implementation is based on the scientific work by Gabriele Eichfelder and Leo Warnow, please cite the corresponding paper when using this code:

@Article{EW2023,
  author    = {Gabriele Eichfelder and Leo Warnow},
  journal   = {European Journal of Operational Research},
  title     = {Advancements in the computation of enclosures for multi-objective optimization problems},
  year      = {2023},
  number    = {1},
  pages     = {315--327},
  volume    = {310},
  doi       = {10.1016/j.ejor.2023.02.032},
  publisher = {Elsevier},
}

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adena's Issues

Can this method solve multi-objective linear programming?

I am a beginner in multi-objective programming, and reading your article has been of great help to me. I see that the models in the examples all contain quadratic forms. Can this method achieve multi-objective mixed integer programming with linear objective functions and constraints? Thank you!

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