重心法 - idle

重心法

views63 posted @ 2010年11月15日 04:19 in I with tags 数学 , 1993 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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