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project_3layer_weighted.m
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project_3layer_weighted.m
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clear
N = 12;
n = 3;
C = 10;
bigC = 100;
m=50;
k = 3;
l = 4;
xmax = m*C;
ymax = bigC;
V = 50;
T = (V+1)*10^3;
x = cell(1,k);
for K = 1:k
x{K} = zeros(1,T+1);
end
w = ones(1,k);
w(1) = 6;
y = cell(1,T+1);
Q = cell(1,T+1);
Z = cell(1,T+1);
for i=1:T+10
Q{i} = zeros(N,N);
Z{i} = zeros(1,k);
y{i} = zeros(k,l);
end
links = zeros(N,N);
links(1,2)=1;
links(1,3)=1;
links(1,4)=1;
links(2,5)=1;
links(2,6)=1;
links(3,7)=1;
links(3,8)=1;
links(3,9)=1;
links(4,7)=1;
links(4,8)=1;
links(4,9)=1;
links(5,10)=1;
links(5,11)=1;
links(5,12)=1;
links(6,10)=1;
links(6,11)=1;
links(6,12)=1;
a = cell(k,l)
for K = 1:k
for L = 1:l
a{K,L} = zeros(N,N);
end
end
a{1,1}(3,7) = 1;
a{1,1}(1,3) = 1;
a{1,1}(1,2) = 1;
a{1,1}(2,5) = 1;
a{1,1}(5,10) = 1;
a{1,2}(4,7) = 1;
a{1,2}(1,4) = 1;
a{1,2}(1,2) = 1;
a{1,2}(2,5) = 1;
a{1,2}(5,10) = 1;
a{1,3}(3,7) = 1;
a{1,3}(1,3) = 1;
a{1,3}(1,2) = 1;
a{1,3}(2,6) = 1;
a{1,3}(6,10) = 1;
a{1,4}(4,7) = 1;
a{1,4}(1,4) = 1;
a{1,4}(1,2) = 1;
a{1,4}(2,6) = 1;
a{1,4}(6,10) = 1;
a{2,1}(3,8) = 1;
a{2,1}(1,3) = 1;
a{2,1}(1,2) = 1;
a{2,1}(2,5) = 1;
a{2,1}(5,10) = 1;
a{2,2}(4,8) = 1;
a{2,2}(1,4) = 1;
a{2,2}(1,2) = 1;
a{2,2}(2,5) = 1;
a{2,2}(5,10) = 1;
a{2,3}(3,8) = 1;
a{2,3}(1,3) = 1;
a{2,3}(1,2) = 1;
a{2,3}(2,6) = 1;
a{2,3}(6,10) = 1;
a{2,4}(4,8) = 1;
a{2,4}(1,4) = 1;
a{2,4}(1,2) = 1;
a{2,4}(2,6) = 1;
a{2,4}(6,10) = 1;
a{3,1}(3,9) = 1;
a{3,1}(1,3) = 1;
a{3,1}(1,2) = 1;
a{3,1}(2,5) = 1;
a{3,1}(5,11) = 1;
a{3,2}(4,9) = 1;
a{3,2}(1,4) = 1;
a{3,2}(1,2) = 1;
a{3,2}(2,5) = 1;
a{3,2}(5,11) = 1;
a{3,3}(3,9) = 1;
a{3,3}(1,3) = 1;
a{3,3}(1,2) = 1;
a{3,3}(2,6) = 1;
a{3,3}(6,11) = 1;
a{3,4}(4,9) = 1;
a{3,4}(1,4) = 1;
a{3,4}(1,2) = 1;
a{3,4}(2,6) = 1;
a{3,4}(6,11) = 1;
for t = 1:T
for i = 1:N
for j = 1:N
if links(i,j) == 1
sum2 = 0;
for K = 1:k
for L = 1:l
sum2 = sum2 + a{K,L}(i,j)*y{t}(K,L);
end
end
sum2;
if i == 1 && j == 2
Q{t+1}(i,j) = max(Q{t}(i,j)+sum2-bigC, 0);
else
Q{t+1}(i,j) = max(Q{t}(i,j)+sum2-C, 0);
end
end
end
end
for K = 1:k
sum3 = 0;
for L = 1:l
sum3 = sum3 + y{t}(K,L);
L;
sum3;
end
Z{t+1}(K) = max(Z{t}(K)-sum3+x{K}(t),0);
temp = ((V*w(K))/Z{t}(K)) - 1;
if temp < 0
temp = 0;
end
if temp > xmax
temp = xmax;
end
x{K}(t+1) = temp;
for L = 1:l
sum4 = sum(sum(Q{t}.*a{K,L}));
if sum4 > Z{t}(K)
y{t+1}(K,L) = 0;
else
y{t+1}(K,L) = ymax;
end
end
end
end
avg = zeros(k,l);
for t = 1:T
for K = 1:k
for L = 1:l
avg(K,L) = avg(K,L) + y{t}(K,L);
end
end
end
avg=avg/T
xbar1 = mean(x{1})
xbar2 = mean(x{2})
xbar3 = mean(x{3})
util = log(1+xbar1)+log(1+xbar2)+log(1+xbar3)