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程序1 求初解
clc,clear
A1=eye(6,6);
A2=eye(4,4);
B1=A1(1:5,:);
B2=A2(1,);
X1=[A1;A1;A1;A1;B1];
X4=[A2;A2;A2;A2;A2;A2;A2;B2];
%以下程序用于求解X2,X3中1-9个决策变量
P1=X1;t=0;
While
t<2
X=zeros(29,6);
c11=zeros(1,6);
c1=zeros(1,6);
count=0;
for m=1:9
tag11=0;
for n=1:6
if P1(m,n)==0
if c11(n)<2&tag11==0&count<3
X(m,n)=1;
tag11=1;
c11(n)=c11(n)+1;
c1(n)=c1(n)+1;
if c11(n)==2
count=count+1;
end
elseif c11(n)<1&tag11==0
X(m,n)=1;
tag11=1;
c11(n)=c11(n)+1;
c1(n)=c1(n)+1;
end
end
end
end
end
%以下程序用于调整X3中前9行中不满足条件的决策变量
ift==1
a=sum(X(1:9,:)′);
for m=1:9
if a(m)==0
b=m;
break;
end
end
Y=X(1:9,:);
for m=1:9
kk=0;
c=P1(b,:)+Y(m,:);
for n=1:6
if c(n)==2
kk=1;
break
end
end
if kk==0
X(b,:)=Y(m,:);
X(m,:)=Y(b,:);
for n=1:6
if P1(m,n)==0
X(m,n)=1;
break
end
end
break
end
end
end
%以下程序用于求解X2,X3中20-29个决策变量
for m=10:29
tag12=0;
for n=1:6
if P1(m,n)==0
if c1(n)<5&tag12==0
X(m,n)=1;
tag12=1;
c1(n)=c1(n)+1;
else
X(m,n)=0;
end
else
X(m,n)=0;
end
end
end
%以下程序用于调整X3中20-29个不满足条件的决策变量
if t==1
Y=X
for m=10:29
if P1(m,6)==0
X(m,:)=Y(29,:);
X(29,:)=Y(m,:);
X(m,6)=1;
break
end
end
end
if t==0
X2=X;
else
X3=X;
end
P1=P1+X;
t=t+1;
end
%以下程序用以求得满足约束条件的X5,X6,X7;
t=0;
while t<3
C2=randperm1(A2);
B2= C2(1,:);
Y=[randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2);
randperm1(A2); randperm1(A2); randperm1(A2);B2];
if t==0
X5=Y;
elseif t==1
X6=Y;
else
X7=Y;
end
t=t+1;
end
%将初解保存在文本文件shuju中
save shuju X1 X2 X3 X4 X5 X6 X7
程序2 目标函数
function f=F(A,B,C,D,E,F,G)
Q1=A*A′-eye(29,29);
Q2=B*B′-eye(29,29);
Q3=C*C′-eye(29,29);
Q4=D*D′-eye(29,29);
Q5=E*E′-eye(29,29);
Q6=F*F′-eye(29,29);
Q7=G*G′-eye(29,29);
Q_sum=Q1+Q2+Q3+Q4+Q5+Q6+Q7;
Q_sum=Q_sum+eye(29,29);
M=Q_sum1==zeros(29,29);
count=sum(sum(M));
g=norm(Q_sum);
f=0.7*count+0.3*g;
程序3 随即变换
function[X]=randperm1(A)
n=size(A,1);
y=randperm(n);
for p=1:n
X(p,:)=A(y(p),:);
end
程序4 退火过程
%模拟退火算法求最优解
tic;
clc;clear
load shuju;
t0=100;
tf=0.01
k=1000;
f=F(X1,X2,X3,X4,X5,X6,X7);
t=t0;
while t>tf
for k=1:k
y=randperm(9);
for m=1:9
X11(m,:)=X1(y(m),:);
X22(m,:)=X2(y(m),:);
X33(m,:)=X3(y(m),:);
end
z=randperm(20);
z=z+9*ones(1,20);
for m=10:29
X11(m,:)=X1(z(m-9),:);
X22(m,:)=X2(z(m-9),:);
X33(m,:)=X3(z(m-9),:);
end
p=randperm(6);
for m=1:6
X11(:,m)=X1(:,p(m));
X22(:,m)=X2(:,p(m));
X33(:,m)=X3(:,p(m));
end
A2=eye(4,4);
C4=randperm1(A2);
B4=C4(1,:);
C5=randperm1(A2);
B5=C5(1,:);
C6=randperm1(A2);
B6=C6(1,:);
C7=randperm1(A2);
B7=C7(1,:);
X44=[randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2);B4];
X55=[randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2);B5];
X66=[randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2);B6];
X77=[randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2); randperm1(A2);B7];
ff=F(X11,X22,X33,X44,X55,X66,X77);
if ff<f
X1=X11;
X2=X22;
X3=X33;
X4=X44;
X5=X55;
X6=X66;
X7=X77;
elseif exp((f-ff)/t)>rand(1);
X1=X11;
X2=X22;
X3=X33;
X4=X44;
X5=X55;
X6=X66;
X7=X77;
end
f=ff
end
t=0.87*t;
end
toc;
1=toc
save zhi X1 X2 X3 X4 X5 X6 X7
%将结果保留在zhi中
程序5
计算见面次数
load zhi
Q1=X1*X1′-eye(29,29);
Q2=X2*X2′-eye(29,29);
Q3=X3*X3′-eye(29,29);
Q4=X4*X4′-eye(29,29);
Q5=X5*X5′-eye(29,29);
Q6=X6*X6′-eye(29,29);
Q7=X7*X7′-eye(29,29);
Q_sum=Q1+Q2+Q3+Q4+Q5+Q6+Q7;
Q_sum1=Q_sum+eye(29,29);
M=Q_sum1==zeros(29,29);
count=sum(sum(M));
g=norm(Q_sum);
f=0.7*count+0.3*g;
f,count,g
count0=0;count1=0;count2=0;count3=0;count4=0;count5=0;count6=0;count7=0;
for m=1:29
for n=1:29
if Q_sum(m,n)==0
count0=count0+1;
elseif Q_sum(m,n)==1
count1=count1+1;
elseif Q_sum(m,n)==2
count2=count2+1;
elseif Q_sum(m,n)==3
count3=count3+1;
elseif Q_sum(m,n)==4
count4=count4+1;
elseif Q_sum(m,n)==5
count5=count5+1;
elseif Q_sum(m,n)==6
count6=count6+1;
elseif Q_sum(m,n)==0
count7=count7+1;
end
end
end
(count0-29)/2,count1/2,count2/2,count3/2,count4/2,count5/2,count6/2,count7/2 |