# -*- coding: utf-8 -*- """ Created on Mon May 16 14:19:49 2016 @author: hossam """ import random import numpy import math from solution import solution import time def WOA(objf, lb, ub, dim, SearchAgents_no, Max_iter): # dim=30 # SearchAgents_no=50 # lb=-100 # ub=100 # Max_iter=500 if not isinstance(lb, list): lb = [lb] * dim if not isinstance(ub, list): ub = [ub] * dim # initialize position vector and score for the leader Leader_pos = numpy.zeros(dim) Leader_score = float("inf") # change this to -inf for maximization problems # Initialize the positions of search agents Positions = numpy.zeros((SearchAgents_no, dim)) for i in range(dim): Positions[:, i] = ( numpy.random.uniform(0, 1, SearchAgents_no) * (ub[i] - lb[i]) + lb[i] ) # Initialize convergence convergence_curve = numpy.zeros(Max_iter) ############################ s = solution() print('WOA is optimizing "' + objf.__name__ + '"') timerStart = time.time() s.startTime = time.strftime("%Y-%m-%d-%H-%M-%S") ############################ t = 0 # Loop counter # Main loop while t < Max_iter: for i in range(0, SearchAgents_no): # Return back the search agents that go beyond the boundaries of the search space # Positions[i,:]=checkBounds(Positions[i,:],lb,ub) for j in range(dim): Positions[i, j] = numpy.clip(Positions[i, j], lb[j], ub[j]) # Calculate objective function for each search agent fitness = objf(Positions[i, :]) # Update the leader if fitness < Leader_score: # Change this to > for maximization problem Leader_score = fitness # Update alpha Leader_pos = Positions[ i, : ].copy() # copy current whale position into the leader position a = 2 - t * ((2) / Max_iter) # a decreases linearly fron 2 to 0 in Eq. (2.3) # a2 linearly decreases from -1 to -2 to calculate t in Eq. (3.12) a2 = -1 + t * ((-1) / Max_iter) # Update the Position of search agents for i in range(0, SearchAgents_no): r1 = random.random() # r1 is a random number in [0,1] r2 = random.random() # r2 is a random number in [0,1] A = 2 * a * r1 - a # Eq. (2.3) in the paper C = 2 * r2 # Eq. (2.4) in the paper b = 1 # parameters in Eq. (2.5) l = (a2 - 1) * random.random() + 1 # parameters in Eq. (2.5) p = random.random() # p in Eq. (2.6) for j in range(0, dim): if p < 0.5: if abs(A) >= 1: rand_leader_index = math.floor( SearchAgents_no * random.random() ) X_rand = Positions[rand_leader_index, :] D_X_rand = abs(C * X_rand[j] - Positions[i, j]) Positions[i, j] = X_rand[j] - A * D_X_rand elif abs(A) < 1: D_Leader = abs(C * Leader_pos[j] - Positions[i, j]) Positions[i, j] = Leader_pos[j] - A * D_Leader elif p >= 0.5: distance2Leader = abs(Leader_pos[j] - Positions[i, j]) # Eq. (2.5) Positions[i, j] = ( distance2Leader * math.exp(b * l) * math.cos(l * 2 * math.pi) + Leader_pos[j] ) convergence_curve[t] = Leader_score if t % 1 == 0: print( ["At iteration " + str(t) + " the best fitness is " + str(Leader_score)] ) t = t + 1 timerEnd = time.time() s.endTime = time.strftime("%Y-%m-%d-%H-%M-%S") s.executionTime = timerEnd - timerStart s.convergence = convergence_curve s.optimizer = "WOA" s.objfname = objf.__name__ s.best = Leader_score s.bestIndividual = Leader_pos return s