moo-rs

Overview

moo-rs is a project for solving multi-objective optimization problems with evolutionary algorithms, combining:

• moors: a pure-Rust crate for high-performance implementations of genetic algorithms
• pymoors: a Python extension crate (via pyo3) exposing moors algorithms with a Pythonic API

Inspired by the amazing Python project pymoo, moo-rs delivers both the speed of Rust and the ease-of-use of Python.

Project Structure

moo-rs/
├── moors/    # Rust crate: core algorithms
└── pymoors/  # Python crate: pyo3 bindings

moors (Rust)

moors is a pure-Rust crate providing multi-objective evolutionary algorithms.

Features

• NSGA-II, NSGA-III, R-NSGA-II, Age-MOEA, REVEA (many more coming soon!)
• Pluggable operators: sampling, crossover, mutation, duplicates removal
• Flexible fitness & constraints via user-provided closures
• Built on ndarray and faer

Installation

[dependencies]
moors = { git = "https://github.com/andresliszt/moo-rs", package = "moors" }

Note: publishing moors on crates.io is in progress.

Quickstart

use ndarray::{Array1, Axis, stack};

use moors::{
    algorithms::Nsga2Builder,
    duplicates::ExactDuplicatesCleaner,
    genetic::{
        PopulationConstraints, PopulationFitness, PopulationGenes,
    },
    operators::{
        crossover::SinglePointBinaryCrossover, mutation::BitFlipMutation,
        sampling::RandomSamplingBinary,
    },
};

// problem data
const WEIGHTS: [f64; 5] = [12.0, 2.0, 1.0, 4.0, 10.0];
const VALUES: [f64; 5] = [4.0, 2.0, 1.0, 5.0, 3.0];
const CAPACITY: f64 = 15.0;

/// Compute multi-objective fitness [–total_value, total_weight]
/// Returns an Array2<f64> of shape (population_size, 2)
fn fitness_knapsack(population_genes: &PopulationGenes) -> PopulationFitness {
    // lift our fixed arrays into Array1 for dot products
    let weights_arr = Array1::from_vec(WEIGHTS.to_vec());
    let values_arr = Array1::from_vec(VALUES.to_vec());

    let total_values = population_genes.dot(&values_arr);
    let total_weights = population_genes.dot(&weights_arr);

    // stack two columns: [-total_values, total_weights]
    stack(Axis(1), &[(-&total_values).view(), total_weights.view()]).expect("stack failed")
}

fn constraints_knapsack(population_genes: &PopulationGenes) -> PopulationConstraints {
    // build a 1-D array of weights in one shot
    let weights_arr = Array1::from_vec(WEIGHTS.to_vec());

    // dot → Array1<f64>, subtract capacity → Array1<f64>,
    // then promote to 2-D (n×1) with insert_axis
    (population_genes.dot(&weights_arr) - CAPACITY).insert_axis(Axis(1))
}

// build and run the NSGA-II algorithm
let mut algorithm = Nsga2Builder::default()
    .fitness_fn(fitness_knapsack)
    .constraints_fn(constraints_knapsack)
    .sampler(RandomSamplingBinary::new())
    .crossover(SinglePointBinaryCrossover::new())
    .mutation(BitFlipMutation::new(0.5))
    .duplicates_cleaner(ExactDuplicatesCleaner::new())
    .n_vars(5)
    .population_size(100)
    .crossover_rate(0.9)
    .mutation_rate(0.1)
    .num_offsprings(32)
    .num_iterations(2)
    .build()
    .unwrap();

algorithm.run().unwrap();
println!("Done! Population size: {}", algorithm.population.len());

pymoors (Python)

pymoors uses pyo3 to expose moors algorithms in Python.

Installation

pip install pymoors

Quickstart

import numpy as np

from pymoors import (
    Nsga2,
    RandomSamplingBinary,
    BitFlipMutation,
    SinglePointBinaryCrossover,
    ExactDuplicatesCleaner,
)
from pymoors.typing import TwoDArray


PROFITS = np.array([2, 3, 6, 1, 4])
QUALITIES = np.array([5, 2, 1, 6, 4])
WEIGHTS = np.array([2, 3, 6, 2, 3])
CAPACITY = 7


def knapsack_fitness(genes: TwoDArray) -> TwoDArray:
    # Calculate total profit
    profit_sum = np.sum(PROFITS * genes, axis=1, keepdims=True)
    # Calculate total quality
    quality_sum = np.sum(QUALITIES * genes, axis=1, keepdims=True)

    # We want to maximize profit and quality,
    # so in pymoors we minimize the negative values
    f1 = -profit_sum
    f2 = -quality_sum
    return np.column_stack([f1, f2])


def knapsack_constraint(genes: TwoDArray) -> TwoDArray:
    # Calculate total weight
    weight_sum = np.sum(WEIGHTS * genes, axis=1, keepdims=True)
    # Inequality constraint: weight_sum <= capacity
    return weight_sum - CAPACITY


algorithm = Nsga2(
    sampler=RandomSamplingBinary(),
    crossover=SinglePointBinaryCrossover(),
    mutation=BitFlipMutation(gene_mutation_rate=0.5),
    fitness_fn=knapsack_fitness,
    constraints_fn=knapsack_constraint,
    duplicates_cleaner=ExactDuplicatesCleaner(),
    n_vars=5,
    population_size=32,
    num_offsprings=32,
    num_iterations=10,
    mutation_rate=0.1,
    crossover_rate=0.9,
    keep_infeasible=False,
)

algorithm.run()
pop = algorithm.population
# Get genes
>>> pop.genes
array([[1., 0., 0., 1., 1.],
       [0., 1., 0., 0., 1.],
       [1., 1., 0., 1., 0.],
       ...])
# Get fitness
>>> pop.fitness
array([[ -7., -15.],
       [ -7.,  -6.],
       [ -6., -13.],
       ...])
# Get constraints evaluation
>>> pop.constraints
array([[ 0.],
       [-1.],
       [ 0.],
       ...])
# Get rank
>>> pop.rank
array([0, 1, 1, 2, ...], dtype=uint64)
# Get best individuals
>>> pop.best
[<pymoors.schemas.Individual object at 0x...>]
>>> pop.best[0].genes
array([1., 0., 0., 1., 1.])
>>> pop.best[0].fitness
array([ -7., -15.])
>>> pop.best[0].constraints
array([0.])

In this small example, the algorithm finds a single solution on the Pareto front: selecting the items (A, D, E), with a profit of 7 and a quality of 15. This means there is no other combination that can match or exceed both objectives without exceeding the knapsack capacity (7).

Once the algorithm finishes, it stores a population attribute that contains all the individuals evaluated during the search.

Contributing

Contributions welcome! Please read the contribution guide and open issues or PRs in the relevant crate’s repository

License

This project is licensed under the MIT License.