中国邮递员问题matlab实现文档格式.doc
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中国邮递员问题matlab实现文档格式.doc
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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;
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
Q=[x1;
y;
z]'
k=0;
d=zeros(1,n);
if(b(i,j)==0)||(b(i,j)==inf)
else
d(i)=d(i)+1;
x2(i)=i;
end
t=mod(d,2);
ift(i)==1
x3(k)=i;
k=k+1;
[mn]=size(x3);
forj=1:
E(i,j)=b(x3(i),x3(j));
end
[D,path]=floyd(b);
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);
Y1=[x4;
y4;
z41]'
Y=[x4;
z4]'
nMM=grMaxMatch(Y);
13
A(i,:
)=Y1(nMM(i),:
);
end
fori=1:
j=1;
k=2;
disp('
需要加的边为:
'
)
[l,r]=router(D,path,A(i,j),A(i,k));
r
l
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:
shortrouter(i,:
)=e(cEu(i),:
juli=sum(shortrouter(:
3));
juli
[m,n]=size(shortrouter);
t=0;
fori=2:
ifshortrouter(i,1)==shortrouter(i-1,2)
else
t=shortrouter(i,1);
shortrouter(i,1)=shortrouter(i,2);
shortrouter(i,2)=t;
end
zx=[shortrouter(1,1)shortrouter(:
2)'
]'
[m,n]=size(zx);
n=sqrt(m);
n=floor(n);
t=[0];
g=1;
l=n;
j=2;
whilej<
=m-1
fori=k:
x1=g;
t=[tx1];
j=j+1;
ifj>
m-1
break
g=g+1;
k=l;
l=l+n-1;
t=[tg]'
v=[n/2];
x=1:
n;
v=[vx];
j=m-n*n-1;
ifj>
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
没有最短路'
loaddata
v=[x-y];
grPlot(v,shortrouter,'
title('
邻接矩阵的弧表示:
functionA=hujuzhen(e)
[mn]=size(e);
forj=i:
if(e(i,j)==0)||(e(i,j)==inf)
x(k)=i;
z(k)=e(i,j);
A=[x;
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);
k
x1(a(i),b(i))=w(i);
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