mopso算法代码程序_没有之一，我见过的最漂亮代码！！

以下是一个基于Python的MOPSO算法代码程序，供您参考：

import random
import math

class Particle:

    def __init__(self, num_dimensions):
        self.num_dimensions = num_dimensions
        self.position = [random.uniform(0, 1) for _ in range(num_dimensions)]
        self.velocity = [random.uniform(0, 1) for _ in range(num_dimensions)]
        self.best_position = list(self.position)
        self.best_fitness = float('inf')
        self.fitness = float('inf')
        self.crowding_distance = 0

    def update_velocity(self, global_best_position, inertia_weight, cognitive_weight, social_weight):
        for i in range(self.num_dimensions):
            r1 = random.uniform(0, 1)
            r2 = random.uniform(0, 1)
            cognitive_component = cognitive_weight * r1 * (self.best_position[i] - self.position[i])
            social_component = social_weight * r2 * (global_best_position[i] - self.position[i])
            self.velocity[i] = inertia_weight * self.velocity[i] + cognitive_component + social_component

    def update_position(self, bounds):
        for i in range(self.num_dimensions):
            self.position[i] += self.velocity[i]
            if self.position[i] > bounds[i][1]:
                self.position[i] = bounds[i][1]
                self.velocity[i] = 0
            elif self.position[i] < bounds[i][0]:
                self.position[i] = bounds[i][0]
                self.velocity[i] = 0

    def evaluate_fitness(self, objective_function):
        self.fitness = objective_function(self.position)
        if self.fitness < self.best_fitness:
            self.best_fitness = self.fitness
            self.best_position = list(self.position)

class MOPSO:

    def __init__(self, objective_function, num_particles, num_iterations, num_dimensions, bounds, inertia_weight, cognitive_weight, social_weight):
        self.objective_function = objective_function
        self.num_particles = num_particles
        self.num_iterations = num_iterations
        self.num_dimensions = num_dimensions
        self.bounds = bounds
        self.inertia_weight = inertia_weight
        self.cognitive_weight = cognitive_weight
        self.social_weight = social_weight
        self.global_best_position = [random.uniform(bounds[i][0], bounds[i][1]) for i in range(num_dimensions)]
        self.global_best_fitness = float('inf')
        self.particles = [Particle(num_dimensions) for _ in range(num_particles)]

    def run(self):
        for i in range(self.num_iterations):
            for particle in self.particles:
                particle.update_velocity(self.global_best_position, self.inertia_weight, self.cognitive_weight, self.social_weight)
                particle.update_position(self.bounds)
                particle.evaluate_fitness(self.objective_function)
                if particle.fitness < self.global_best_fitness:
                    self.global_best_fitness = particle.fitness
                    self.global_best_position = list(particle.position)
            fronts = self.fast_non_dominated_sort(self.particles)
            for i, front in enumerate(fronts):
                self.calculate_crowding_distance(front)
                self.particles.sort(key=lambda particle: particle.crowding_distance, reverse=True)
                self.particles = self.particles[:self.num_particles]
                if len(self.particles) == self.num_particles:
                    break
        return self.global_best_position, self.global_best_fitness

    def fast_non_dominated_sort(self, particles):
        fronts = []
        remaining_particles = list(particles)
        while len(remaining_particles) > 0:
            front = []
            for particle in remaining_particles:
                particle.domination_count = 0
                particle.dominated_particles = []
                for other_particle in remaining_particles:
                    if particle == other_particle:
                        continue
                    if self.dominates(particle, other_particle):
                        particle.dominated_particles.append(other_particle)
                    elif self.dominates(other_particle, particle):
                        particle.domination_count += 1
                if particle.domination_count == 0:
                    front.append(particle)
            fronts.append(front)
            for particle in front:
                remaining_particles.remove(particle)
        return fronts

    def dominates(self, particle1, particle2):
        for i in range(self.num_dimensions):
            if particle1.fitness[i] > particle2.fitness[i]:
                return False
        return True

    def calculate_crowding_distance(self, particles):
        num_particles = len(particles)
        for particle in particles:
            particle.crowding_distance = 0
        for i in range(self.num_dimensions):
            particles.sort(key=lambda particle: particle.fitness[i])
            particles[0].crowding_distance = float('inf')
            particles[num_particles - 1].crowding_distance = float('inf')
            fitness_range = particles[num_particles - 1].fitness[i] - particles[0].fitness[i]
            for j in range(1, num_particles - 1):
                distance = particles[j + 1].fitness[i] - particles[j - 1].fitness[i]
                particles[j].crowding_distance += distance / fitness_range

这段程序是一个基于Python的MOPSO算法实现，包括一个粒子类和一个MOPSO类。程序实现了多目标优化问题的求解，其中使用了快速非支配排序和拥挤距离计算等技术。