tic
%======================
sj0=data%开环最短路线
%=================================
% sj0=[datadata(1,:)]%闭环最短路线
%=========================
x=sj0(:,1)y=sj0(:,2)
N=length(x)
%=========================
% d(N,:)=d(1,:)%闭环最短路线
% d(:,N)=d(:,1)%距离矩阵d
%======================
L=N %sj0的长度
w=800dai=1000
%通过改良圈算法选取优良父代A
for k=1:w
c=randperm(L-2)
c1=[1,c+1,L]
flag=1
while flag>0
flag=0
for m=1:L-3
for n=m+2:L-1
if d(c1(m),c1(n))+d(c1(m+1),c1(n+1))<d(c1(m),c1(m+1))+d(c1(n),c1(n+1))
flag=1
c1(m+1:n)=c1(n:-1:m+1)
<a href="https://www.baidu.com/s?wd=end&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">end</a>
<a href="https://www.baidu.com/s?wd=end&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">end</a>
<a href="https://www.baidu.com/s?wd=end&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">end</a>
end
J(k,c1)=1:L
end
J=J/L
J(:,1)=0J(:,L)=1
rand('state',sum(clock))
%遗传算法实现过程
A=J
for k=1:dai %产生0~1 间随机数列进行编码
B=A
c=randperm(w)
%交配产生子代B
for i=1:2:w
F=2+floor(100*rand(1))
temp=B(c(i),F:L)
B(c(i),F:L)=B(c(i+1),F:L)
B(c(i+1),F:L)=temp
end
%变异产生子代C
by=find(rand(1,w)<0.1)
if length(by)==0
by=floor(w*rand(1))+1
end
C=A(by,:)
L3=length(by)
for j=1:L3
<a href="https://www.baidu.com/s?wd=bw&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">bw</a>=floor(1+fix(rand(1,3)*N)) %产生1-N的3个随机数
<a href="https://www.baidu.com/s?wd=bw&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">bw</a>=sort(<a href="https://www.baidu.com/s?wd=bw&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">bw</a>)
C(j,:)=C(j,[1:bw(1)-1,bw(2)+1:bw(3),bw(1):bw(2),bw(3)+1:L])
end
G=[ABC]
<a href="https://www.baidu.com/s?wd=TL&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">TL</a>=size(G,1)
%在父代和子代中选择优良品种作为新的父代
[<a href="https://www.baidu.com/s?wd=dd&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">dd</a>,IX]=sort(G,2)
temp=[]
temp(1:<a href="https://www.baidu.com/s?wd=TL&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">TL</a>)=0
for j=1:<a href="https://www.baidu.com/s?wd=TL&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">TL</a>
for i=1:L-1
temp(j)=temp(j)+d(IX(j,i),IX(j,i+1))
end
end
[DZ,IZ]=sort(temp)
A=G(IZ(1:w),:)
end
path=IX(IZ(1),:)
% for i=1:length(path)
% path(i)=path(i)-1
% end
% path=path(2:end-1)
lmin=0l=0
for j=1:(length(path)-1)
<a href="https://www.baidu.com/s?wd=t1&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">t1</a>=path(j)t2=path(j+1)
l=d(<a href="https://www.baidu.com/s?wd=t1&tn=44039180_cpr&fenlei=mv6quAkxTZn0IZRqIHckPjm4nH00T1Y3PvF-rjf1rj6LryD3Pjm30ZwV5Hcvrjm3rH6sPfKWUMw85HfYnjn4nH6sgvPsT6KdThsqpZwYTjCEQLGCpyw9Uz4Bmy-bIi4WUvYETgN-TLwGUv3EnW0dnHmvrHcYnWTYnjn4rHb3Ps" target="_blank" class="baidu-highlight">t1</a>,t2)
lmin=lmin+l
end
xx=sj0(path,1)yy=sj0(path,2)
plot(xx,yy,'r-o')
axis equal
toc
现有两个工厂A1,A2,产量都是10万个,工厂有三个仓库T1,T2,T3,如何用matlab求解向四个顾客配送产品,以达到总运费最少的运输方案?
这个运输问题可以按下列思路来考虑:
1、A1工厂向T1,T2,T3仓库配送的最少运费,即其关系为
min 4x1+2y1+5z1
2、A2工厂向T1,T2,T3仓库配送的最少运费,即其关系为
min 3x2+y2+2z2
3、T1仓库向B1、B2、B3、B4顾客配送的最少运费,即其关系为
min 5*B1T1+7*B2T1+10*B3T1+20*B4T1
4、T2仓库向B1、B2、B3、B4顾客配送的最少运费,即其关系为
min 9*B1T2+6*B2T2+7*B3T2+15*B4T2
5、T3仓库向B1、B2、B3、B4顾客配送的最少运费,即其关系为
min 20*B1T3+6*B2T3+7*B3T3+4*B4T3
6、A1,A2工厂分别向T1,T2,T3仓库输送产品大于等于10万个
7、T1,T2,T3仓库分别向B1、B2、B3、B4顾客配送的量必须满足3,5,4,5万个
8、T1,T2,T3仓库分别向B1、B2、B3、B4顾客配送的量同时满足A1,A2工厂分别向T1,T2,T3仓库配送的量
9、从上述分析,该运输问题转变为最小化问题。所以,其解决的途径可以用ga函数、fmincon函数等等来完成。
10、解决方法:①创建目标函数,②创建约束条件函数,③确定变量的上下限值,④确定变量的初值(ga函数不考虑),⑤使用fmincon函数求解
11、按上述思路和方法,编程后运行,可得到如下部分结果
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