Module multi_objective_optimization 

Multi-Objective QUBO Optimization

This module implements advanced multi-objective optimization algorithms for QUBO problems, allowing users to optimize multiple conflicting objectives simultaneously and explore Pareto frontiers.

Features

• Pareto frontier computation
• Multiple scalarization methods (weighted sum, epsilon-constraint, Tchebycheff)
• Evolutionary multi-objective algorithms (NSGA-II, MOEA/D)
• Interactive objective exploration
• Trade-off visualization and analysis

Examples

use quantrs2_tytan::multi_objective_optimization::*;
use std::collections::HashMap;

// Define multiple objectives
let objectives = vec![
    Objective::new("cost", ObjectiveDirection::Minimize, 1.0),
    Objective::new("quality", ObjectiveDirection::Maximize, 1.0),
];

// Create multi-objective optimizer
let config = MultiObjectiveConfig::default();
let mut optimizer = MultiObjectiveOptimizer::new(objectives, config);

Structs

MultiObjectiveConfig

Multi-objective optimization configuration

MultiObjectiveOptimizer

Multi-objective optimizer

MultiObjectiveResult

Result of multi-objective optimization

MultiObjectiveSolution

A solution in objective space

Objective

Objective definition

OptimizationStatistics

Statistics from multi-objective optimization

Enums

ObjectiveDirection

Objective direction

ScalarizationMethod

Scalarization method for multi-objective optimization