📄 111.m
字号:
%种群规模
zhongqun=100;
%迭代次数
diedai=200;
%输入车场数
m=2:
%输入各个车场的车辆数，长度为m的向量
l=[3 3];
%输入各车场各车辆的固定成本。m行max(1)列。各车场对于多出的不存在的车辆，成本设为0
C=[16 25 30
16 25 30];
%输入各车场各车辆的载重量限制，m行max(1)列。对于每行超出该车场车辆数的单元载重量限制设为0
G=[4 5 6
4 5 6];
%输入各车辆的速度，m行max (1)列。对于每行超出该车场车辆数的单元设为0.
v=[60 70 80
60 70 8O]:
%各车场各车辆的开始时间，m行max(1)列。对于每行超出该车场车辆数的单元填0.
tr=[0 0 0
0 0 0];
%配送的客户数
c=10;
%输入客户所需的货物量，长度为c的向量
B=[2 1.5 4 3 2.5 3 2.5 1 2 3.5]:
%各客户对配送时间的要求，ET为最早到货时间，LT为最晚到货时间，长度为c的%向量
ET=[2 3 0.5 1 0 1 1 3 2 1];
LT=[4 5 2 2 2 3 2 4 3 3];
%各客户处的卸货时间，长度为c的向量
TL=[0.2 0.3 0.6 0.7 0.5 0.4 0.8 0.4 0. 3 0.6];
%车场及客户之间的距离矩阵，m+c方阵。车场之间的距离设为0
D=[0 0 40 60 75 90 200 100 120 100 60 110
0 0 50 30 70 110 80 120 140 80 90 100
40 50 0 65 40 100 50 75 110 100 70 80
60 30 65 0 75 100 110 80 70 75 60 85
75 70 40 75 0 110 100 75 90 70 120 110
90 110 75 100 80 0 70 85 50 65 90 80
200 80 50 110 100 70 0 70 90 75 80 65
100 120 75 75 90 75 70 0 70 100 90 85
120 140 110 75 90 80 90 70 0 100 110 120
100 80 100 75 70 65 85 100 100 0 80 90
60 90 70 60 120 90 80 90 110 80 0 100
110 100 80 85 110 80 65 85 120 90 100 0];
%V1为超载罚函数
V1=400;
%p1, p2为时间窗罚函数的系数
P1=30;
P2=30;
%pcl, pc2为交叉率计算的参数;pml, pm2为变异率计算的参数
pcl=0.9;
pc2=0.6;
pml=0.1;
pm2=0.001;
%退火率h
h=0.85;
%初始种群的产生
i=1;
while i<=zhongqun
for k=1:c
A(i,3*k-2)=floor(m*rand)+1:
A(i,3*k-1)=floor(1(A(i,3*k-2))*rand) +1;
a(i,3*k)=rand:
end
for j=1:m
for k=1:(1 (j))
u(j, k)=0;
for x=1:c
i f ,A(i,3*x-2)==j&A (i,3*x-1)==k
u(j,k)=u(j,k)+B(x);
end
end
end
end
%使初始解满足车辆载重限制
O=u-G;
if max(max(0))>0
i=i;
else
i=i+l;
end
end
%到此，满足载重要求的初始解己经产生
%初始种群，对染色体进行解码。
for i=1:zhongqun
V(i)=0;
for j=1:m
for k=1:max(1)
a=0;
b=0;
TC(j,k)=0;
K(j,k)=0;
T(j,k)=0;
w(j,k)=0;
t(j,k)=0;
for x=1:c
if A(i,3*x-2)==j&A(i,3*x-1)==k
a=[a,A(i,3*x)];
b=[b,x];
end
end
if length(a)>=2
a=a(2:end);
b=b(2:end);
else
a=0;
b=0;
end
M{j,k}=a;
N{j,k}=b;
if a=0&length(a)==1
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(j,b(y)+m)+D(b(y)+m,j);
T(j,k)=T(jk)+C(j,k)+K(j,k);
t(j,k)=t(j,k)+tr(j,k)+D(j,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+P1*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k):
end
elseif a=0&length(a)>1
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(j,b(Y)+m);
for x=1:length(a)-1
n=b=(y);
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(n+m,b(y)+m);
end
K(j,k)=K(j,k)+D(b(y)+m,j);
T(j,k)=T(j,k)+C(j,k)+K(j,k);
%时间窗约束施加惩罚
a=M{j, k}:
b=N{j, k};
[t1,y]=max(a);
a(y)=0;
t(j,k)=t(j,k)+tr(j,k)+D(j,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+Pl*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
t(j,k)=t(j,k)+TL(b(y));
for x=l:length(a)-1
n=b(y);
[t1,y]=max(a);
a(y)=0;
t(j,k)=t(j,k)+D(n+m,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+P1*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
t(j,k)=t(j,k)+TL(b(y));
end
else
K(j,k)=0:
T(j,k)=0:
TC(j,k)=0;
t(j,k)=0:
end
if b=0
for x=1:length(b)
w(j,k)=w(j,k)+B(b(x));
end
if w(j,k)>G(j,k)
V(i)=V(i)+V1;
end
else
V(i)=V(i);
end
end
end
%计算总距离
Ll=sum(T,2);
TCl=sum(TC,2);
L2(i)=sum(L1);
TC2(i)=sum(TC1):
f(i)=L2(i)+TC2(i)+V(i);
end
fa= f-l;
[zuihao,number1]=max(fa);
[zuicha,number2]=min(fa);
TK=2*(zuihao-zuicha)/zhongqun;
zuiyou=A(numberl,:):
A1=A;
f1=f;
fa1=fa;
%模拟退火
for s=1:diedai
%在染色体i的领域里随机选取一状态，按模拟退火的概率接受或拒绝，共跌代种群的规模次，形成新的种群
for i=1:zhongqun
for xunhuan=1:30
E=Al(i,:);
location=floor((c-1)*rand)+l;
yl=E(3*location-2);
Y2=E(3*location-1);
y3=E(3*location);
E(3*location-2)=E(3*location+l);
E(3*Location-1)=E(3*location+2);
E(3*1ocataion)=E(3*Location+3);
E (3*location+1)=yl;
E(3*location+2)=y2;
E(3*location+3)=y3;
V(i)=0;
for j=1:m
for k=1:max(1)
a=0;
b=0;
TC(j,k)=0;
K(j,k)=0;
T(j,k)=0;
w(j,k)=0;
t(j,k)=0;
for x=1:c
if E(3*x-2)==j&E(3*x-1)==k
a=[a,E(3*x)];
b=[b,x];
end
end
if length(a)>=2
a=a(2:end);
b=b(2:end);
else
a=0;
b=0;
end
M{j,k}=a;
N{j,k}=b;
if a=0&length(a)==1
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(j,b(y)+m)+D(b(Y)+m,j);
T(j,k)=T(j,k)+C(j,k)+K(j,k);
t(j,k)=t(j,k)+tr(j,k)+D(j,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+P1*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
elseif a=0&length(a)>1
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(j,b(y)+m);
for x=1:length(a)-1
n=b(y);
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(n+m,b(y)+m);
end
K(j,k)=K(j,k)+D(b(y)+m,j);
T(j,k)=T(j,k)+C(j,k)+K(j,k);
%时间窗约束施加惩罚
a=M{j,k};
b=N{j,k};
[t1,y]=max(a);
a(y)=0;
t(j,k)=t(j,k)+tr(j,k)+D(j,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+P1*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
t(j,k)=t(j,k)+TL(b(y));
for x=1:length(a)-1
n=b(y);
[t1,y]=max(a);
a(y)=0;
t(j,k)=t(j,k)+D(n+m,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+Pl*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
t(j,k)=t(j,k)+TL(b(y));
end
else
K(j,k)=0;
T(j,k)=0;
TC(j,k)=0;
end
if b=0
for x=1:length(b)
w(j,k)=w(j,k)+B(b(x));
end
if w(j,k)>G(j,k)
V(i)=V(i)+V1;
end
else
V(i)=V(i);
end
end
end
%计算总距离
L1=sum(T,2);
TCl=sum(TC,2);
L2(i)=sum(Ll);
TC2(i)=sum(TC1);
fj=L2(i)+TC2(i)+V(i);
faj=fj-1;
if fa1(i)<faj
A1(i,:)=E;
fl(i)=fj;
fa1(i)=faj;
elseif rand<exp((faj-fa1(i))/TK)
Al(i,:)=E;
fl(i)=fj;
fa1(i)=faj;
end
end
end
[t2> y]=max (fa);
E=A 1 (y,:);
%选择策略，形成新的种群
fas(1)=fa1(1)/sum(fa1);
for i=2:zhongqun
fas(i)=fas(i-1)+fa1(i)/sum(fa1);
end
xuanze(l,:)=E;
f2(1)=fl(y);
fa2(1)=max(fa1);
for i=2:zhongqun
suiji=rand;
if suiji<=fas(1)
xuanze(i,:)=A(1,:);
f2(i)=f1(1);
fa2(i)=fa1(1);
else
forj=2:zhongqun
if suiji>fas(j-1)&suiji<=fas(j)
xuanze(i,:)=Al(j,:);
f2(i)=f1(j);
fa2(i)=fa1(j);
end
end
end
end
Al=xuanze:
fl=f2;
fal=fa2;
for i=1:zhongqun
if V(i)==0
fai1(i)=fa1(i);
else
fail(i)=0;
end
end
[yi1,ti1]=max(fai1);
AI1(s,:)=Al(ti1,:);
at1(s)=f1(til);
%选择策略，形成新的种群A1, fa1
%交叉操作
%交叉率
faavg=mean(fa1);
famax=max(fa1);
%随机选取基因
for 1k=1:2:zhongqun
swpt1=1k;
swpt2=1k+1:
fa3=max(fa1(swptl),fa1(swpt2));
if fa3>=faavg
pc=pc1-(pc1-pc2)*(fa3-faavg)/(famax-faavg);
else
pc=pc1;
end
if rand<pc
%选取交叉位置
location1=floor((c-2)*rand)+2;
location2=floor((c-2)*rand)+2;
%判断是否为同一基因座，如是则重新进行选择
while (location1==location2),
location2=floor((c-2)*rand)+2;
end
swpt3=3*(min(locutionl,location2)-1)+1;
swpt4=3*max(locationl,location2);
xl=zeros(1,3*c);
x1(1:swpt3-1)=A1(swpt2,1:swpt3-1);
x1(swpt3:swpt4)=A1(swpt1,swpt3:swpt4);
xl(swpt4+l:end)=A1(swpt2,swpt4+1:end);
x2=zeros(1,3*c);
x2(1:swpt3-1)=A1(swptl,1:swpt3-1);
x2(swpt3:swpt4)=A1(swpt2,swpt3:swpt4);
x2(swpt4+1:end)=A1(swpt1,swpt4+1:end);
A1(swpt1,:)=x1;
A1(swpt2,:)=x2;
for i=swptl:swpt2
V(i)=0;
for j=1:m
for k=1:max(1)
a=0;
b=0;
TC(j, k)=0;
K(j,k)=0;
T(j,k)=0;
w(j,k)=0;
t(j,k)=0;
for x=1:c
if A1(i,3*x-2)==j&Al(i,3*x-1)==k
a=[a, A1(i,3*x)];
b=[b, x];
end
end
if 1ength(a)>=2
a=a(2:end);
b=b(2:end);
else
a=0;
b=0;
end
M{j,k}=a;
N{j,k}=b;
if a=0&length(a)==1
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(j,b(y)+m)+D(b(y)+m,j);
T(j,k)=T(j,k)+C(j,k)+K(j,k);
t(j,k)=t(j,k)+tr(j,k)+D(j,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+P1*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
elseif a=0&length(a)>1;
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(j,b(y)+m);
for x=1:length(a)-1;
n=b(y);
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(n+m,b(y)+m);
end
K(j,k)=K(j,k)+D(b(y)+m,j);
T(j,k)=T(j,k)+C(j,k)+K(j,k);
%时间窗约束施加惩罚
a=M{j,k};
b=N{j,k};
[t1,y]=max(a);
a(y)=0;
t(j,k)=t(j,k)+tr(j,k)+D(j,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k=P1*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=T(j,k);
end
t(j,k)=t(j,k)+TL(b(y));
for x=1:length(a)-1
n=b(y);
[t1,y]=max(a);
a(y)=0;
t(j,k)=t(j,k)+D(n+m,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+P1*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
t(j,k)=t(j,k)+TL(b(y));
end
else
TC(j,k)=0;
K(j,k)=0;
T(j,k)=0;
end
if b=0
for x=1:length(b)
w(j,k)=w(j,k)+B(b(x));
end
if w(j,k)>G(j,k)
V(i)=V(i)+V1;
end
else
V(i)=V(i);
end
%上一个end对应的是最大的if语句
%下两个end对应j, k
end
end
%计算总距离
L1=sum(T,2);
TC1=sum (TC, 2);
L2(i)=sum(L1);
TC2(i)=sum(TC1);
f1(i)=L2(i)+TC2(i)+V(i);
fa1(i)=fl(i)-1;
%对应于i
end
%对应if rand<pc
end
%对应于for 1=1:2:50
end
for i=1:zhongqun
if V(i)=0
fai2(i)=fa1(i);
else
fai2(i)=0;
end
end
[yi2,ti2]=max(fai2);
AI2(s,:)=A1(ti2,:);
at2(s)=f1(ti2);
%变异操作
faavg=mean(fa1);
famax=max(fa1);
for i=1:zhongqun
%确定变异率
if fa1(i)>=faavg
pm=pml-(pml-pm2)*(famax-fa1(i))/(famax-faavg);
else
pm=pm1;
end
%变异操作
if rand<pm
location=floor(c*rand)+1;
A1(i,3*location-2)=floor(m*rand)+1;
A1(i,3*location-1)=floor(1(A1(i,3*location-2))*rand) +1;
A1(i,3*location)=rand;
V(i)=0;
for j=1:m
for k=1:max(1)
a=0;
b=0;
TC(j,k)=0;
K(j,k)=0;
T(j,k)=0;
w(j,k)=0;
t(j,k)=0;
for x=1:c
if A1(i,3*x-2)==j&,A1(i,3*x-1)==k
a=[a,Al(i,3*x)];
b=[b,x];
end
end
if length(a)>=2
a=a(2:end);
b=b(2:end);
else
a=0;
b=0;
end
M{j,k}=a;
N{j,k}=b;
if a=0&length(a)==1
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(j,b(y)+m)+D(b(y)+m,j);
T(j,k)=T(j,k)+C(j,k)+K(j,k);
t(j,k)=t(j,k)+tr(j,k)+D(j,b(y)+m)/(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+P1*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
elseif a=0&length(a)>1
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(j,h(y)+m);
for x=1:length(a)-1
n=b(y);
[t1,y]=max(a);
a(y)=0;
K(j,k)=K(j,k)+D(n+m,b(y)+m);
end
K(j,k)=K(j,k)+D(b(y)+m,j);
T(j,k)=T(j>k)+C(j,k)+K(j,k);
%时间窗约束施加惩罚
a=M{j,k};
b=N{j,k};
[t1,y]=max(a);
a(y)=0;
t(j,k)=t(j,k)+tr(j,k)+D(j,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+P1*max(ET(b(y))-t(j,k),0):
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
t(j,k)=t(j,k)+TL(b(y));
for x=1:length(a)-1
n=b(y);
[t1,y]=max(a);
a(y)=0;
t(j,k)=t(j,k)+D(n+m,b(y)+m)/v(j,k);
if t(j,k)<ET(b(y))
TC(j,k)=TC(j,k)+Pl*max(ET(b(y))-t(j,k),0);
elseif t(j,k)>LT(b(y))
TC(j,k)=TC(j,k)+P2*max(t(j,k)-LT(b(y)),0);
else
TC(j,k)=TC(j,k);
end
t(j,k)=t(j,k)+TL(b(y));
end
else
K(j,k)=0;
T(j,k)=0;
TC(j,k)=0;
end
if b=0
for x=1:length(b)
w(j,k)=w(j,k)+B(b(x));
end
if w(j,k)>C(j,k)
V(i)=V(i)+V1;
end
else
V(i)=V(i);
end
end
end
%计算总距离
L1=sum(T,2);
TC1=sum(TC,2);
L2(i)=sum(L1);
TC2(i)=sum(TC1);
f1(i)=L2(i)+TC2(i)+V(i);
fa1(i)=f1(i)-1;
%确认与变异中的循环对应的语句i
end
end
faavg(s)=mean(fa1);
famax=max(fa1):
[zuihao,number]=max(fa1);
for i=1:zhongqun
if V(i)==0
fai3(i)=fa1(i);
else
fai3(i)=0;
end
end
[yi3,ti3]=max(fai3);
A13(s,:)=A1(ti3,:);
at3(s)=fl(ti3);
TK=h*TK;
end
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