【优化布局】基于粒子群算法求解带出入点的车间布局优化问题附matlab代码

本文链接：https://blog.youkuaiyun.com/matlab_dingdang/article/details/125970490

该文结合粒子群优化算法与系统化布置设计法，提出一种解决车间布局问题的新方法。通过二维向量表示设备位置，调整加速系数和惯性权重，以降低设备间的搬运成本为目标，实现布局优化。仿真代码展示了算法的具体实现，包括设备尺寸、输入输出位置、搬运成本矩阵等参数设置，并通过不断迭代改进方案，证明了所提方法能有效提升粒子群算法的优化性能。

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1 内容介绍

为降低车间内设备间的物料搬运成本，将粒子群优化算法与经典的系统化布置设计法相结合，以设备间的搬运成本为目标，求解面向车间布局的连续空间优化问题。在问题建模时采用二维向量表述设备的连续空间位置；引入系统化布置设计法对初始粒子群进行优化，在保证初始粒子群有效性的基础上提高了算法的寻优速度和精度；通过对加速系数和惯性系数的设定，提高了粒子群优化算法的寻优质量。通过实例验证了所提方法可以有效提高粒子群算法在连续空间布局问题上的优化性能。

2 仿真代码

%

% %

function model=CreateModel()

% Size of Blocks w=[23 24 12 24 20 11 14 18]; % Width h=[25 25 12 25 25 17 22 12]; % Height delta=[2 1 4 1 3 1 4 1]; % Gap rin = [0.17 0.70 0.73 0.27 0.04 0.09 0.42 0.69]; % Location of Input Gate rout = [0.31 0.95 0.03 0.43 0.38 0.76 0.79 0.18]; % Location of Output Gate n=numel(w);

xin=zeros(1,n); yin=zeros(1,n); xout=zeros(1,n); yout=zeros(1,n);

for i=1:n if rin(i)>=0 && rin(i)<=0.25 xin(i)=(4*rin(i)-0.5)*w(i); yin(i)=-h(i)/2; elseif rin(i)>0.25 && rin(i)<=0.5 xin(i)=w(i)/2; yin(i)=(4*rin(i)-1.5)*h(i); elseif rin(i)>0.5 && rin(i)<=0.75 xin(i)=(2.5-4*rin(i))*w(i); yin(i)=h(i)/2; else xin(i)=-w(i)/2; yin(i)=(3.5-4*rin(i))*h(i); end if rout(i)>=0 && rout(i)<=0.25 xout(i)=(4*rout(i)-0.5)*w(i); yout(i)=-h(i)/2; elseif rout(i)>0.25 && rout(i)<=0.5 xout(i)=w(i)/2; yout(i)=(4*rout(i)-1.5)*h(i); elseif rout(i)>0.5 && rout(i)<=0.75 xout(i)=(2.5-4*rout(i))*w(i); yout(i)=h(i)/2; else xout(i)=-w(i)/2; yout(i)=(3.5-4*rout(i))*h(i); end end a=[ 0 50 45 20 0 19 46 15 28 0 13 15 24 27 25 48 13 28 0 0 31 12 0 49 0 14 20 0 26 47 41 33 47 49 42 33 0 48 25 12 16 10 27 32 19 0 19 0 43 41 47 15 15 30 0 24 32 0 17 44 17 23 13 0]; W=100; H=80; phi=50000; model.n=n; model.w=w; model.h=h; model.delta=delta; model.rin=rin; model.xin=xin; model.yin=yin; model.rout=rout; model.xout=xout; model.yout=yout; model.a=a; model.W=W; model.H=H; model.phi=phi;

end

% %

function model=CreateModel()

xin=zeros(1,n); yin=zeros(1,n); xout=zeros(1,n); yout=zeros(1,n);

end

% %

function model=CreateModel()

xin=zeros(1,n); yin=zeros(1,n); xout=zeros(1,n); yout=zeros(1,n);

end

% %

function model=CreateModel()

xin=zeros(1,n); yin=zeros(1,n); xout=zeros(1,n); yout=zeros(1,n);

end

%

function sol2=ImproveSolution(sol1,model,Vars)

n=model.n;

A=randperm(n); for i=A sol1=MoveMachine(i,sol1,model,Vars); end

sol2=sol1; end

%
%

function model=CreateModel()

% Size of Blocks
w=[23 24 12 24 20 11 14 18]; % Width
h=[25 25 12 25 25 17 22 12]; % Height

delta=[2 1 4 1 3 1 4 1]; % Gap

rin = [0.17 0.70 0.73 0.27 0.04 0.09 0.42 0.69]; % Location of Input Gate
rout = [0.31 0.95 0.03 0.43 0.38 0.76 0.79 0.18]; % Location of Output Gate

n=numel(w);

xin=zeros(1,n);
yin=zeros(1,n);

xout=zeros(1,n);
yout=zeros(1,n);

for i=1:n
if rin(i)>=0 && rin(i)<=0.25
xin(i)=(4*rin(i)-0.5)*w(i);
yin(i)=-h(i)/2;

elseif rin(i)>0.25 && rin(i)<=0.5
xin(i)=w(i)/2;
yin(i)=(4*rin(i)-1.5)*h(i);

elseif rin(i)>0.5 && rin(i)<=0.75
xin(i)=(2.5-4*rin(i))*w(i);
yin(i)=h(i)/2;

else
xin(i)=-w(i)/2;
yin(i)=(3.5-4*rin(i))*h(i);

end

if rout(i)>=0 && rout(i)<=0.25
xout(i)=(4*rout(i)-0.5)*w(i);
yout(i)=-h(i)/2;

elseif rout(i)>0.25 && rout(i)<=0.5
xout(i)=w(i)/2;
yout(i)=(4*rout(i)-1.5)*h(i);

elseif rout(i)>0.5 && rout(i)<=0.75
xout(i)=(2.5-4*rout(i))*w(i);
yout(i)=h(i)/2;

else
xout(i)=-w(i)/2;
yout(i)=(3.5-4*rout(i))*h(i);

end

end

a=[ 0 50 45 20 0 19 46 15
28 0 13 15 24 27 25 48
13 28 0 0 31 12 0 49
0 14 20 0 26 47 41 33
47 49 42 33 0 48 25 12
16 10 27 32 19 0 19 0
43 41 47 15 15 30 0 24
32 0 17 44 17 23 13 0];

W=100;
H=80;

phi=50000;

model.n=n;
model.w=w;
model.h=h;
model.delta=delta;
model.rin=rin;
model.xin=xin;
model.yin=yin;
model.rout=rout;
model.xout=xout;
model.yout=yout;
model.a=a;
model.W=W;
model.H=H;
model.phi=phi;

end

function [sol2, z2]=MoveMachine(i,sol1,model,Vars)

dmax=0.5; % Zero [newsol(1), z(1)]=RotateMachine(i,sol1,model); % Move Up newsol(2)=sol1; dy=unifrnd(0,dmax); newsol(2).yhat(i)=sol1.yhat(i)+dy; newsol(2).yhat(i)=max(newsol(2).yhat(i),Vars.yhat.Min); newsol(2).yhat(i)=min(newsol(2).yhat(i),Vars.yhat.Max); [newsol(2), z(2)]=RotateMachine(i,newsol(2),model); % Move Down newsol(3)=sol1; dy=unifrnd(0,dmax); newsol(3).yhat(i)=sol1.yhat(i)-dy; newsol(3).yhat(i)=max(newsol(3).yhat(i),Vars.yhat.Min); newsol(3).yhat(i)=min(newsol(3).yhat(i),Vars.yhat.Max); [newsol(3), z(3)]=RotateMachine(i,newsol(3),model); % Move Right newsol(4)=sol1; dx=unifrnd(0,dmax); newsol(4).xhat(i)=sol1.xhat(i)+dx; newsol(4).xhat(i)=max(newsol(4).xhat(i),Vars.xhat.Min); newsol(4).xhat(i)=min(newsol(4).xhat(i),Vars.xhat.Max); [newsol(4), z(4)]=RotateMachine(i,newsol(4),model); % Move Left newsol(5)=sol1; dx=unifrnd(0,dmax); newsol(5).xhat(i)=sol1.xhat(i)-dx; newsol(5).xhat(i)=max(newsol(5).xhat(i),Vars.xhat.Min); newsol(5).xhat(i)=min(newsol(5).xhat(i),Vars.xhat.Max); [newsol(5), z(5)]=RotateMachine(i,newsol(5),model);

% Move Up-Right newsol(6)=sol1; dx=unifrnd(0,dmax); newsol(6).xhat(i)=sol1.xhat(i)+dx; newsol(6).xhat(i)=max(newsol(6).xhat(i),Vars.xhat.Min); newsol(6).xhat(i)=min(newsol(6).xhat(i),Vars.xhat.Max); dy=unifrnd(0,dmax); newsol(6).yhat(i)=sol1.yhat(i)+dy; newsol(6).yhat(i)=max(newsol(6).yhat(i),Vars.yhat.Min); newsol(6).yhat(i)=min(newsol(6).yhat(i),Vars.yhat.Max); [newsol(6), z(6)]=RotateMachine(i,newsol(6),model);

% Move Up-Left newsol(7)=sol1; dx=unifrnd(0,dmax); newsol(7).xhat(i)=sol1.xhat(i)-dx; newsol(7).xhat(i)=max(newsol(7).xhat(i),Vars.xhat.Min); newsol(7).xhat(i)=min(newsol(7).xhat(i),Vars.xhat.Max); dy=unifrnd(0,dmax); newsol(7).yhat(i)=sol1.yhat(i)+dy; newsol(7).yhat(i)=max(newsol(7).yhat(i),Vars.yhat.Min); newsol(7).yhat(i)=min(newsol(7).yhat(i),Vars.yhat.Max); [newsol(7), z(7)]=RotateMachine(i,newsol(7),model);

% Move Down-Right newsol(8)=sol1; dx=unifrnd(0,dmax); newsol(8).xhat(i)=sol1.xhat(i)+dx; newsol(8).xhat(i)=max(newsol(8).xhat(i),Vars.xhat.Min); newsol(8).xhat(i)=min(newsol(8).xhat(i),Vars.xhat.Max); dy=unifrnd(0,dmax); newsol(8).yhat(i)=sol1.yhat(i)-dy; newsol(8).yhat(i)=max(newsol(8).yhat(i),Vars.yhat.Min); newsol(8).yhat(i)=min(newsol(8).yhat(i),Vars.yhat.Max); [newsol(8), z(8)]=RotateMachine(i,newsol(8),model);

% Move Down-Left newsol(9)=sol1; dx=unifrnd(0,dmax); newsol(9).xhat(i)=sol1.xhat(i)-dx; newsol(9).xhat(i)=max(newsol(9).xhat(i),Vars.xhat.Min); newsol(9).xhat(i)=min(newsol(9).xhat(i),Vars.xhat.Max); dy=unifrnd(0,dmax); newsol(9).yhat(i)=sol1.yhat(i)-dy; newsol(9).yhat(i)=max(newsol(9).yhat(i),Vars.yhat.Min); newsol(9).yhat(i)=min(newsol(9).yhat(i),Vars.yhat.Max); [newsol(9), z(9)]=RotateMachine(i,newsol(9),model);

[z2, ind]=min(z); sol2=newsol(ind); end

function [sol2, z2]=RotateMachine(i,sol1,model)

newsol(1)=sol1; newsol(1).rhat(i)=0.1; z(1)=MyCost(newsol(1),model); newsol(2)=sol1; newsol(2).rhat(i)=0.35; z(2)=MyCost(newsol(2),model);

newsol(3)=sol1; newsol(3).rhat(i)=0.6; z(3)=MyCost(newsol(3),model);

newsol(4)=sol1; newsol(4).rhat(i)=0.85; z(4)=MyCost(newsol(4),model); [z2, ind]=min(z); sol2=newsol(ind);

end

%
%

function model=CreateModel()

xin=zeros(1,n);
yin=zeros(1,n);

xout=zeros(1,n);
yout=zeros(1,n);

for i=1:n
if rin(i)>=0 && rin(i)<=0.25
xin(i)=(4*rin(i)-0.5)*w(i);
yin(i)=-h(i)/2;

elseif rin(i)>0.25 && rin(i)<=0.5
xin(i)=w(i)/2;
yin(i)=(4*rin(i)-1.5)*h(i);

elseif rin(i)>0.5 && rin(i)<=0.75
xin(i)=(2.5-4*rin(i))*w(i);
yin(i)=h(i)/2;

else
xin(i)=-w(i)/2;
yin(i)=(3.5-4*rin(i))*h(i);

end

if rout(i)>=0 && rout(i)<=0.25
xout(i)=(4*rout(i)-0.5)*w(i);
yout(i)=-h(i)/2;

elseif rout(i)>0.25 && rout(i)<=0.5
xout(i)=w(i)/2;
yout(i)=(4*rout(i)-1.5)*h(i);

elseif rout(i)>0.5 && rout(i)<=0.75
xout(i)=(2.5-4*rout(i))*w(i);
yout(i)=h(i)/2;

else
xout(i)=-w(i)/2;
yout(i)=(3.5-4*rout(i))*h(i);

end

end

a=[ 0 50 45 20 0 19 46 15
28 0 13 15 24 27 25 48
13 28 0 0 31 12 0 49
0 14 20 0 26 47 41 33
47 49 42 33 0 48 25 12
16 10 27 32 19 0 19 0
43 41 47 15 15 30 0 24
32 0 17 44 17 23 13 0];

W=100;
H=80;

phi=50000;

model.n=n;
model.w=w;
model.h=h;
model.delta=delta;
model.rin=rin;
model.xin=xin;
model.yin=yin;
model.rout=rout;
model.xout=xout;
model.yout=yout;
model.a=a;
model.W=W;
model.H=H;
model.phi=phi;