Non-dominated sorting

Description of the method

You can read about the method in the next article:

Buzdalov M., Shalyto A. A Provably Asymptotically Fast Version of the Generalized Jensen Algorithm for Non-dominated Sorting // Parallel Problem Solving from Nature XIII.- 2015. - P. 528-537. - (Lecture Notes on Computer Science; 8672)

Requirements

1. Python 3.6 or higher.
2. Installed setuptools.
3. Installed wheel.

Installation

PyPI

Local installation

Run pip install ..

Tests

Run command:

python -m unittest discover -v ./tests

How to use

The example:

import random

# Package must be installed.
from nds import ndomsort

seq = [random.sample(range(-10, 11), 5) for i in range(30)]

# It is dictionary.
fronts = ndomsort.non_domin_sort(seq)

# Or we can get values of objectives.
# fronts = ndomsort.non_domin_sort(seq, lambda x: x[:4])

# 'fronts' is a tuple of front's indices, not a dictionary.
# fronts = ndomsort.non_domin_sort(seq, only_front_indices=True)

for front in fronts:
    print("\nFront index is {}".format(front))
    for seq in fronts[front]:
        print("\t{}".format(seq))

Other implementations

• Java (Jensen-Fortin-Buzdalov divide-and-conquer method)
• C#

Example