中国邮递员问题matlab实现.doc
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中国邮递员问题matlab实现.doc
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中国邮递员问题的matlabchengxu
clear;
clc;
M=inf;
a(1,1)=0;a(1,36)=10.3;a(1,37)=5.9;a(1,38)=11.2;a(1,50)=6.0;
a(2,2)=0;a(2,50)=9.2;a(2,5)=8.3;a(2,3)=4.8;
a(3,3)=0;a(3,39)=8.2;a(3,38)=7.9;
a(4,4)=0;a(4,39)=12.7;a(4,8)=20.4;
a(5,5)=0;a(5,6)=9.7;a(5,39)=11.3;a(5,48)=11.4;
a(6,6)=0;a(6,7)=7.3;a(6,47)=11.8;a(6,48)=9.5;
a(7,7)=0;a(7,47)=14.5;a(7,40)=7.2;a(7,39)=15.1;
a(8,8)=0;a(8,40)=8.0;
a(9,9)=0;a(9,40)=7.8;a(9,41)=5.6;
a(10,10)=0;a(10,41)=10.8;
a(11,11)=0;a(11,42)=6.8;a(11,45)=13.2;a(11,40)=14.2;
a(12,12)=0;a(12,43)=10.2;a(12,42)=7.8;a(12,41)=12.2;
a(13,13)=0;a(13,45)=9.8;a(13,44)=16.4;a(13,42)=8.6;a(13,14)=8.6;
a(14,14)=0;a(14,43)=9.9;a(14,15)=15.0;
a(15,15)=0;a(15,44)=8.8;
a(16,16)=0;a(16,17)=6.8;a(16,44)=11.8;
a(17,17)=0;a(17,22)=6.7;a(17,46)=9.8;
a(18,18)=0;a(18,46)=9.2;a(18,45)=8.2;a(18,44)=8.2;
a(19,19)=0;a(19,20)=9.3;a(19,45)=8.1;a(19,47)=7.2;
a(20,20)=0;a(20,21)=7.9;a(20,25)=6.5;a(20,47)=5.5;
a(21,21)=0;a(21,23)=9.1;a(21,25)=7.8;a(21,46)=4.1;
a(22,22)=0;a(22,23)=10.0;a(22,46)=10.1;
a(23,23)=0;a(23,24)=8.9;a(23,49)=7.9;
a(24,24)=0;a(24,27)=18.8;a(24,49)=13.2;
a(25,25)=0;a(25,49)=8.8;a(25,48)=12.0;
a(26,26)=0;a(26,27)=7.8;a(26,49)=10.5;a(26,51)=10.5;
a(27,27)=0;a(27,28)=7.9;
a(28,28)=0;a(28,52)=8.3;a(28,51)=12.1;
a(29,29)=0;a(29,52)=7.2;a(29,51)=15.2;a(29,53)=7.9;
a(30,30)=0;a(30,32)=10.3;a(30,52)=7.7;
a(31,31)=0;a(31,33)=7.3;a(31,32)=8.1;a(31,53)=9.2;
a(32,32)=0;a(32,33)=19;a(32,35)=14.9;
a(33,33)=0;a(33,35)=20.3;a(33,36)=7.4;
a(34,34)=0;a(34,35)=8.2;a(34,36)=11.5;a(34,37)=17.6;
a(35,35)=0;
a(36,36)=0;a(36,53)=8.8;a(36,37)=12.2;
a(37,37)=0;a(37,38)=11.0;
a(38,38)=0;a(38,50)=11.5;
a(39,39)=0;
a(41,41)=0;
a(42,42)=0;
a(43,43)=0;
a(44,44)=0;a(44,45)=15.8;
a(45,45)=0;
a(46,46)=0;
a(47,47)=0;
a(48,48)=0;a(48,49)=14.2;a(48,50)=19.8;
a(49,49)=0;
a(50,50)=0;a(50,53)=12.9;a(50,51)=10.1;
a(51,51)=0;
a(52,52)=0;
a(53,53)=0;
%用1、2、3……35表示35个村:
用36、37……53表示各乡镇。
其中50表示的是县政府。
b=a+a';b(find(b==0))=M;
fori=1:
53
b(i,i)=0;
end
[mn]=size(b);
k=1;
fori=1:
m
forj=1:
n
if(b(i,j)==0)||(b(i,j)==inf)
else
x1(k)=i;
y(k)=j;
z(k)=b(i,j);
k=k+1;
end
end
end
Q=[x1;y;z]';
k=0;
d=zeros(1,n);
fori=1:
m
forj=1:
n
if(b(i,j)==0)||(b(i,j)==inf)
else
d(i)=d(i)+1;
x2(i)=i;
end
end
end
k=1;
t=mod(d,2);
fori=1:
m
ift(i)==1
x3(k)=i;
k=k+1;
end
end
[mn]=size(x3);
fori=1:
n
forj=1:
n
E(i,j)=b(x3(i),x3(j));
end
end
k=1;
[D,path]=floyd(b);
fori=1:
n
forj=1:
n
ifi==j
else
[L,R]=router(D,path,x3(i),x3(j));
x4(k)=x3(i);
y4(k)=x3(j);
z41(k)=max(L(:
));
z4(k)=150-z41(k);
k=k+1;
end
end
end
Y1=[x4;y4;z41]';
Y=[x4;y4;z4]';
nMM=grMaxMatch(Y);
fori=1:
13
A(i,:
)=Y1(nMM(i),:
);
end
fori=1:
13
j=1;
k=2;
disp('需要加的边为:
')
[l,r]=router(D,path,A(i,j),A(i,k));
r
l
end
e=hujuzhen(b);
f=[234.8;104110.8;11426.8;124310.2;43149.9;18448.2;19458.1;22176.7;244913.2;494814.2;264910.5;27287.9;29527.2;31357.3;35367.4;34358.2];
e=[e;f];
E=[e(:
1)e(:
2)];
[eu,cEu]=grIsEulerian(E);
ifeu==1
disp('找到了最短路');
[mn]=size(cEu);
shortrouter=zeros(m,3);
fori=1:
m
shortrouter(i,:
)=e(cEu(i),:
);
juli=sum(shortrouter(:
3));
end
juli
[m,n]=size(shortrouter);
t=0;
fori=2:
m
ifshortrouter(i,1)==shortrouter(i-1,2)
else
t=shortrouter(i,1);
shortrouter(i,1)=shortrouter(i,2);
shortrouter(i,2)=t;
end
end
zx=[shortrouter(1,1)shortrouter(:
2)']';
[m,n]=size(zx);
n=sqrt(m);
n=floor(n);
t=[0];
k=1;
g=1;
l=n;
j=2;
whilej<=m-1
fori=k:
l
x1=g;
t=[tx1];
j=j+1;
ifj>m-1
break
end
end
g=g+1;
k=l;
l=l+n-1;
end
t=[tg]';
v=[n/2];
fori=1:
n
x=1:
n;
v=[vx];
end
j=m-n*n-1;
ifj>0
x=1:
j-1;
end
vl=[vxn/2]';
Q=[tvlzx];
c1=[1:
107]';
c2=[2:
108]';
c3=shortrouter(:
3);
C=[c1c2c3];
grPlot(Q,C,'g','%d','');
title('\bf最短路径为:
');
else
disp('没有最短路');
end
loaddata
v=[x-y];
grPlot(v,shortrouter,'g','%d','');
title('\bf最短路径为:
');
邻接矩阵的弧表示:
functionA=hujuzhen(e)
[mn]=size(e);
k=1;
fori=1:
m
forj=i:
n
if(e(i,j)==0)||(e(i,j)==inf)
else
x(k)=i;
y(k)=j;
z(k)=e(i,j);
k=k+1;
end
end
end
A=[x;y;z]';
弧表示话为邻接矩阵
a=[1 1 2 3 4 4 5 5];
b=[2 3 4 2 3 5 3 4];
w=[1 1 1 1 1 1 1 1];
n=5;
m=5;
k=length(a);
x1=zeros(m,n);
fori=1:
k
x1(a(i),b(i))=w(i);
end
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