ABSIndividual.py

import numpy as np
import ObjFunction


class ABSIndividual:

  '''
  individual of artificial bee swarm algorithm
  '''

  def __init__(self,vardim,bound):
    '''
    vardim: dimension of variables
    bound: boundaries of variables
    '''
    self.vardim = vardim
    self.bound = bound
    self.fitness = 0.
    self.trials = 0

  def generate(self):
    '''
    generate a random chromsome for artificial bee swarm algorithm
    '''
    len = self.vardim
    rnd = np.random.random(size=len)
    self.chrom = np.zeros(len)
    for i in xrange(0,len):
      self.chrom[i] = self.bound[0,i] + \
        (self.bound[1,i] - self.bound[0,i]) * rnd[i]

  def calculateFitness(self):
    '''
    calculate the fitness of the chromsome
    '''
    self.fitness = ObjFunction.GrieFunc(
      self.vardim,self.chrom,self.bound)

ABS.py

import numpy as np
from ABSIndividual import ABSIndividual
import random
import copy
import matplotlib.pyplot as plt


class ArtificialBeeSwarm:

  '''
  the class for artificial bee swarm algorithm
  '''

  def __init__(self,sizepop,bound,MAXGEN,params):
    '''
    sizepop: population sizepop
    vardim: dimension of variables
    bound: boundaries of variables
    MAXGEN: termination condition
    params: algorithm required parameters,it is a list which is consisting of[trailLimit,C]
    '''
    self.sizepop = sizepop
    self.vardim = vardim
    self.bound = bound
    self.foodSource = self.sizepop / 2
    self.MAXGEN = MAXGEN
    self.params = params
    self.population = []
    self.fitness = np.zeros((self.sizepop,1))
    self.trace = np.zeros((self.MAXGEN,2))

  def initialize(self):
    '''
    initialize the population of abs
    '''
    for i in xrange(0,self.foodSource):
      ind = ABSIndividual(self.vardim,self.bound)
      ind.generate()
      self.population.append(ind)

  def evaluation(self):
    '''
    evaluation the fitness of the population
    '''
    for i in xrange(0,self.foodSource):
      self.population[i].calculateFitness()
      self.fitness[i] = self.population[i].fitness

  def employedBeePhase(self):
    '''
    employed bee phase
    '''
    for i in xrange(0,self.foodSource):
      k = np.random.random_integers(0,self.vardim - 1)
      j = np.random.random_integers(0,self.foodSource - 1)
      while j == i:
        j = np.random.random_integers(0,self.foodSource - 1)
      vi = copy.deepcopy(self.population[i])
      # vi.chrom = vi.chrom + np.random.uniform(-1,1,self.vardim) * (
      #   vi.chrom - self.population[j].chrom) + np.random.uniform(0.0,self.params[1],self.vardim) * (self.best.chrom - vi.chrom)
      # for k in xrange(0,self.vardim):
      #   if vi.chrom[k] < self.bound[0,k]:
      #     vi.chrom[k] = self.bound[0,k]
      #   if vi.chrom[k] > self.bound[1,k]:
      #     vi.chrom[k] = self.bound[1,k]
      vi.chrom[
        k] += np.random.uniform(low=-1,high=1.0,size=1) * (vi.chrom[k] - self.population[j].chrom[k])
      if vi.chrom[k] < self.bound[0,k]:
        vi.chrom[k] = self.bound[0,k]
      if vi.chrom[k] > self.bound[1,k]:
        vi.chrom[k] = self.bound[1,k]
      vi.calculateFitness()
      if vi.fitness > self.fitness[fi]:
        self.population[fi] = vi
        self.fitness[fi] = vi.fitness
        if vi.fitness > self.best.fitness:
          self.best = vi
      vi.calculateFitness()
      if vi.fitness > self.fitness[i]:
        self.population[i] = vi
        self.fitness[i] = vi.fitness
        if vi.fitness > self.best.fitness:
          self.best = vi
      else:
        self.population[i].trials += 1

  def onlookerBeePhase(self):
    '''
    onlooker bee phase
    '''
    accuFitness = np.zeros((self.foodSource,1))
    maxFitness = np.max(self.fitness)

    for i in xrange(0,self.foodSource):
      accuFitness[i] = 0.9 * self.fitness[i] / maxFitness + 0.1

    for i in xrange(0,self.foodSource):
      for fi in xrange(0,self.foodSource):
        r = random.random()
        if r < accuFitness[i]:
          k = np.random.random_integers(0,self.vardim - 1)
          j = np.random.random_integers(0,self.foodSource - 1)
          while j == fi:
            j = np.random.random_integers(0,self.foodSource - 1)
          vi = copy.deepcopy(self.population[fi])
          # vi.chrom = vi.chrom + np.random.uniform(-1,self.vardim) * (
          #   vi.chrom - self.population[j].chrom) + np.random.uniform(0.0,self.vardim) * (self.best.chrom - vi.chrom)
          # for k in xrange(0,self.vardim):
          #   if vi.chrom[k] < self.bound[0,k]:
          #     vi.chrom[k] = self.bound[0,k]
          #   if vi.chrom[k] > self.bound[1,k]:
          #     vi.chrom[k] = self.bound[1,k]
          vi.chrom[
            k] += np.random.uniform(low=-1,size=1) * (vi.chrom[k] - self.population[j].chrom[k])
          if vi.chrom[k] < self.bound[0,k]:
            vi.chrom[k] = self.bound[0,k]
          if vi.chrom[k] > self.bound[1,k]:
            vi.chrom[k] = self.bound[1,k]
          vi.calculateFitness()
          if vi.fitness > self.fitness[fi]:
            self.population[fi] = vi
            self.fitness[fi] = vi.fitness
            if vi.fitness > self.best.fitness:
              self.best = vi
          else:
            self.population[fi].trials += 1
          break

  def scoutBeePhase(self):
    '''
    scout bee phase
    '''
    for i in xrange(0,self.foodSource):
      if self.population[i].trials > self.params[0]:
        self.population[i].generate()
        self.population[i].trials = 0
        self.population[i].calculateFitness()
        self.fitness[i] = self.population[i].fitness

  def solve(self):
    '''
    the evolution process of the abs algorithm
    '''
    self.t = 0
    self.initialize()
    self.evaluation()
    best = np.max(self.fitness)
    bestIndex = np.argmax(self.fitness)
    self.best = copy.deepcopy(self.population[bestIndex])
    self.avefitness = np.mean(self.fitness)
    self.trace[self.t,0] = (1 - self.best.fitness) / self.best.fitness
    self.trace[self.t,1] = (1 - self.avefitness) / self.avefitness
    print("Generation %d: optimal function value is: %f; average function value is %f" % (
      self.t,self.trace[self.t,0],1]))
    while self.t < self.MAXGEN - 1:
      self.t += 1
      self.employedBeePhase()
      self.onlookerBeePhase()
      self.scoutBeePhase()
      best = np.max(self.fitness)
      bestIndex = np.argmax(self.fitness)
      if best > self.best.fitness:
        self.best = copy.deepcopy(self.population[bestIndex])
      self.avefitness = np.mean(self.fitness)
      self.trace[self.t,0] = (1 - self.best.fitness) / self.best.fitness
      self.trace[self.t,1] = (1 - self.avefitness) / self.avefitness
      print("Generation %d: optimal function value is: %f; average function value is %f" % (
        self.t,1]))
    print("Optimal function value is: %f; " % self.trace[self.t,0])
    print "Optimal solution is:"
    print self.best.chrom
    self.printResult()

  def printResult(self):
    '''
    plot the result of abs algorithm
    '''
    x = np.arange(0,self.MAXGEN)
    y1 = self.trace[:,0]
    y2 = self.trace[:,1]
    plt.plot(x,y1,'r',label='optimal value')
    plt.plot(x,y2,'g',label='average value')
    plt.xlabel("Iteration")
    plt.ylabel("function value")
    plt.title("Artificial Bee Swarm algorithm for function optimization")
    plt.legend()
    plt.show()

執行程式：

 if __name__ == "__main__":
 
   bound = np.tile([[-600],[600]],25)
   abs = ABS(60,25,1000,[100,0.5])
   abs.solve()

ObjFunction見簡單遺傳演算法-python實現。

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