重心法 - idle

重心法

views63 posted @ 2010年11月15日 04:19 in I with tags 数学 , 2048 阅读

同学参加 全国物流设计大赛 被拉去写了个 单配送中心的选址模型重心法的 matlab 程序。很久没碰过这东西想了好久才写出下面这些,对错不清楚运行未报错。 具体算法见 城市物流中心单点选址模型优化及方案评选

function [x y A0] = f1( xi,yi,ai,wi)
%F1 Summary of this function goes here
%   Detailed explanation goes here
n=length(xi);
d=ones(1,n);
A0=inf;
%i=1;
while 1
    %i=i+1;
    w=sum(ai.*wi./d);
    x0=sum(xi.*ai.*wi./d)/w;%(3)
    y0=sum(yi.*ai.*wi./d)/w;%(4)
    d=norm([x0-xi,y0-yi]);%(1)
    A=sum(d.*ai.*wi);%(2)
    if A>=A0%|i==1000
        %i
        break;
    end
    A0=A;
    x=x0;
    y=y0;
end
end

看到一个别人写的程序 ,相比之下我依旧未摆脱新手命名变量的毛病。

 

function [x_center,y_center,len_center]=AddresChoices(x,y,v,r,a,b,n)
%n=5;
% cost=0;
count=1;
x_center(count)=a;
y_center(count)=b;
% %for i=1:n
% cost=cost+v(i)+r(i)+d(i);
% d(i)=sqrt((x(i)-x_center)^2+(y(i)-y_center)^2);
% end
x_cen1=0;
x_cen2=0;
y_cen1=0;
y_cen2=0;
epsilon=0.1;
c_cost=0;
t=10;
while t>=epsilon
for i=1:n
    d(i)=sqrt((x(i)-x_center(count))^2+(y(i)-y_center(count))^2);
    c_cost=c_cost+v(i)*r(i)*d(i);
    x_cen1=x_cen1+v(i)*r(i)*x(i)/d(i);
    x_cen2=x_cen2+v(i)*r(i)/d(i);
    y_cen1=y_cen1+v(i)*r(i)*y(i)/d(i);
    y_cen2=y_cen2+v(i)*r(i)/d(i);
end
cost(count)=c_cost;
c_cost=0;
if count>1 
    t=abs(cost(count)-cost(count-1));
else
    t=10;
end    
count=count+1;
x_center(count)=x_cen1/x_cen2;
y_center(count)=y_cen1/y_cen2;
x_cen1=0;
x_cen2=0;
y_cen1=0;
y_cen2=0;
%cost=c_cost;
end
len_center=length(x_center);

 

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