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花授粉算法.m

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  • 开发语言:MATLAB
  • 实例大小:0.02M
  • 下载次数:3
  • 浏览次数:49
  • 发布时间:2022-01-09
  • 实例类别:MATLAB语言基础
  • 发 布 人:菜鸟Ding
  • 文件格式:.m
  • 所需积分:2
 相关标签: 基本 算法

实例介绍

【实例简介】花授粉算法.m


【实例截图】

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【核心代码】


importnumpy as np                                                                                    
frommatplotlibimportpyplot as plt                                                                                                                                           
importrandom                                                                                       
                                                                                                        
# 初始化种群                                                                                               
definit(n_pop, lb, ub, nd):                                                                          
    """                                                                                               
    :param n_pop: 种群                                                                                  
    :param lb: 下界                                                                                     
    :param ub: 上界                                                                                     
    :param nd: 维数                                                                                     
    """                                                                                               
    p=lb (ub-lb)*np.random.rand(n_pop, nd)                                                    
    returnp                                                                                          
                                                                                                        
                                                                                                        
# 适应度函数                                                                                               
defsphere(x):                                                                                        
    y=np.sum(x**2,1)                                                                             
    returny                                                                                          
                                                                                                        
                                                                                                        
defAckley_1(x):                                                                                      
    n, d=x.shape                                                                                    
    y=-20*np.exp(-0.02*np.sqrt(1/d*np.sum(x**2,1)))-np.exp(                            
        1/d*np.sum(np.cos(2*np.pi*x),1)) 20 np.e                                         
    returny                                                                                          
                                                                                                        
                                                                                                        
defAckley_2(x):                                                                                      
    y=-200*np.exp(-0.02*np.sqrt(x[:,0]**2 x[:,1]**2))                                   
    returny                                                                                          
                                                                                                        
                                                                                                        
defAckley_3(x):                                                                                      
    y=-200*np.exp(-0.02*np.sqrt(x[:,0]**2 x[:,1]**2)) 5*np.exp(                     
        np.cos(3*x[:,0]) np.sin(3*x[:,1]))                                                    
    returny                                                                                          
                                                                                                        
                                                                                                        
defAckley_4(x, y=0):                                                                                 
    _, d=x.shape                                                                                    
    foriinrange(1, d):                                                                             
        y =np.exp(-0.2*np.sqrt(x[:, i-1]**2 x[:, i]**2)) 3*(                          
                np.cos(2*x[:, i-1]) np.sin(2*x[:, i]))                                        
    returny                                                                                          
                                                                                                        
                                                                                                        
defAdjiman(x):                                                                                       
    y=np.cos(x[:,0])*np.sin(x[:,1])-x[:,0]/(x[:,1]**2 1)                              
    returny                                                                                          
                                                                                                        
                                                                                                        
defAlpine(x):                                                                                        
    y=np.sum(np.abs(x*np.sin(x) 0.1*x),1)                                                    
    returny                                                                                          
                                                                                                        
                                                                                                        
defAlpine2(x):                                                                                       
    y=np.prod(np.sqrt(x)*np.sin(x), axis=1)                                                       
    returny                                                                                          
                                                                                                        
                                                                                                        
defBartels(x):                                                                                       
    y=np.abs(x[:,0]**2 x[:,1]**2 x[:,0]*x[:,1]) np.abs(np.sin(x[:,0])) np.abs(np.c
    returny                                                                                          
                                                                                                        
                                                                                                        
defBeale(x):                                                                                         
    y=(1.5-x[:,0] x[:,0]*x[:,1])**2 (2.25-x[:,0] x[:,0]*x[:,1]**2)**2 ( 
            2.625-x[:,0] x[:,0]*x[:,1]**3)**2                                            
    returny                                                                                          
                                                                                                        
                                                                                                        
f_score=sphere # 函数句柄                                                                              
                                                                                                        
                                                                                                        
# Levy飞行Beale                                                                                         
defLevy(nd, beta=1.5):                                                                               
    num=np.random.gamma(1 beta)*np.sin(np.pi*beta/2)                                        
    den=np.random.gamma((1 beta)/2)*beta*2**((beta-1)/2)                              
    sigma_u=(num/den)**(1/beta)                                                               
                                                                                                        
    u=np.random.normal(0, sigma_u**2, (1, nd))                                                    
    v=np.random.normal(0,1, (1, nd))                                                               
                                                                                                        
    z=u/(np.abs(v)**(1/beta))                                                                 
    returnz                                                                                          
                                                                                                        
                                                                                                        
defFPA(Max_g, n_pop, Pop, nd, lb, ub, detail): # FPA算法                                              
    """                                                                                               
    :param Max_g: 迭代次数                                                                                
    :param n_pop: 种群数目                                                                                
    :param Pop: 花粉配子                                                                                  
    :param nd: 维数                                                                                     
    :param lb: 下界                                                                                     
    :param ub: 上界                                                                                     
    :param detail: 显示详细信息                                                                             
    """                                                                                               
    # 计算初始种群中最好个体适应度值                                                                                 
    pop_score=f_score(Pop)                                                                          
    g_best=np.min(pop_score)                                                                        
    g_best_loc=np.argmin(pop_score)                                                                 
    g_best_p=Pop[g_best_loc, :].copy()                                                              
                                                                                                        
    # 问题设置                                                                                            
    p=0.8                                                                  
    best_fit=np.empty((Max_g,))                                                                     
    # 迭代                                                                                              
    foritinrange(1, Max_g 1):                                                                                                                                   
        foriinrange(n_pop):                                                                        
            ifnp.random.rand() < p:                                                                  
                new_pop=Pop[i, :] Levy(nd)*(g_best_p-Pop[i, :])                               
                new_pop=np.clip(new_pop, lb, ub) # 越界处理                                            
            else:                                                                                     
                idx=random.sample(list(range(n_pop)),2)                                          
                new_pop=Pop[i, :] np.random.rand()*(Pop[idx[1], :]-Pop[idx[0], :])        
                new_pop=np.clip(new_pop, lb, ub) # 越界处理                                            
            iff_score(new_pop.reshape((1,-1))) < f_score(Pop[i, :].reshape((1,-1))):               
                Pop[i, :]=new_pop                                                                   
        # 计算更新后种群中最好个体适应度值                                                                            
        pop_score=f_score(Pop)                                                                      
        new_g_best=np.min(pop_score)                                                                
        new_g_best_loc=np.argmin(pop_score)                                                         
                                                                                                        
        ifnew_g_best < g_best:                                                                       
            g_best=new_g_best                                                                       
            g_best_p=Pop[new_g_best_loc, :].copy()                                                  
        best_fit[it-1]=g_best                                                                     
                                                                                                        
        ifdetail:                                                                                    
            print("----------------{}/{}--------------".format(it, Max_g))                            
            print(g_best)                                                                             
            print(g_best_p)                                                                           
                                                                                                        
    returnbest_fit, g_best                                                                           
                                                                                                        
                                                                                                        
if__name__=="__main__":                                                                            
    pop=init(30,-100,100,2)                                                                  
    fitness, g_best=FPA(1000,30, pop,2,-100,100,True)                                          
                                                                                                        
    # 可视化                                                                                             
    plt.figure()                                                                                      
    # plt.plot(fitness)                                                                               
    plt.semilogy(fitness)                                                                             
    # 可视化                                                                                             
    # fig = plt.figure()                                                                              
    # plt.plot(p1, fit)                                                                               
    plt.show()                                                                                        
                                          


标签: 基本 算法

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