pymoo

# Pymoo - Multi-Objective Optimization in Python ## Overview Pymoo is a comprehensive Python framework for optimization with emphasis on multi-objective problems. Solve single and multi-objective optimization using state-of-the-art algorithms (NSGA-II/III, MOEA/D), benchmark problems (ZDT, DTLZ), customizable genetic operators, and multi-criteria decision making methods. Excels at finding trade-off solutions (Pareto fronts) for problems with conflicting objectives. ## When to Use This Skill This skill should be used when: - Solving optimization problems with one or multiple objectives - Finding Pareto-optimal solutions and analyzing trade-offs - Implementing evolutionary algorithms (GA, DE, PSO, NSGA-II/III) - Working with constrained optimization problems - Benchmarking algorithms on standard test problems (ZDT, DTLZ, WFG) - Customizing genetic operators (crossover, mutation, selection) - Visualizing high-dimensional optimization results - Making decisions from multiple competing solutions - Handling binary, discrete, continuous, or mixed-variable problems ## Core Concepts ### The Unified Interface Pymoo uses a consistent `minimize()` function for all optimization tasks: ```python from pymoo.optimize import minimize result = minimize( problem, # What to optimize algorithm, # How to optimize termination, # When to stop seed=1, verbose=True ) ``` **Result object contains:** - `result.X`: Decision variables of optimal solution(s) - `...