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lat_long_matrix_1.m
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lat_long_matrix_1.m
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clc;
clear all;
% A coordinates on the small map
% C real coordinates
% D adjusted real coordinates
nodes = [[2.607, 0.930];
[4.834, 2.068];
[2.607, 2.447];
[2.607, 3.426];
[3.451, 3.377];
[4.663, 3.573];
[6.119, 3.475];
[10.109, 3.842];
[12.801, 4.184];
[15.714, 3.879];
[2.607, 4.539];
[4.185, 4.625];
[4.712, 5.139];
[4.198, 5.604];
[4.822, 5.763];
[5.911, 5.616];
[9.252, 5.555];
[13.144, 5.543];
[15.714, 5.004];
[2.607, 6.277];
[3.696, 6.191];
[4.748, 6.411];
[5.813, 6.252];
[8.701, 6.301];
[12.544, 7.109];
[13.046, 6.546];
[15.714, 6.387];
[5.752, 6.729];
[3.573, 7.512];
[5.813, 7.512];
[6.547, 7.512];
[7.783, 7.512];
[12.434, 7.512];
[3.842, 5.371];
[7.752, 3.511];
[7.767, 5.371];
[7.946, 6.133];
[7.557, 7.104];
[7.303, 7.515];
[7.849, 7.276];
[11.108, 4.183];
[11.115, 5.378];
[10.652, 7.208];
[6.280, 4.192]];
C=[[34.244162,-118.317368];
[34.208963,-118.219178];
[34.192210, -118.328128];
[34.153011, -118.327956];
[34.152727,-118.284355];
[34.146476,-118.225358];
[34.150454,-118.153946];
[34.132837,-117.958252];
[34.118626,-117.82573];
[34.120047,-117.719933];
[34.107256,-118.331101];
[34.102992,-118.250023];
[34.082237,-118.224961];
[34.063752,-118.24865];
[34.056642,-118.214318];
[34.061193,-118.164192];
[34.065459,-118.000771];
[34.065743,-117.806107];
[34.081668,-117.718216];
[34.03616,-118.331101];
[34.037867,-118.276277];
[34.030469,-118.222611];
[34.03616,-118.170426];
[34.034453,-118.02829];
[34.001585, -117.835117];
[34.02364,-117.812287];
[34.028193,-117.719246];
[34.016811,-118.173119];
[33.975253,-118.282242];
[33.977531,-118.168366];
[33.980378,-118.129227];
[33.984364,-118.074296];
[33.990057,-117.843583]];
nodes(:,2) = max(nodes(:,2)) - nodes(:,2);
%plot(nodes(:,1),nodes(:,2),'.','MarkerSize',20)
B = [nodes(:,2) nodes(:,1)];
X1 = [ones(44,1) B(:,1)];
X2 = [ones(44,1) B(:,2)];
Y1 = X1(1:33,:);
Y2 = X2(1:33,:);
theta1 = (Y1'*Y1)\(Y1'*C(1:33,1));
theta2 = (Y2'*Y2)\(Y2'*C(1:33,2));
D = [X1*theta1, X2*theta2];
links = [[1,2, 1, 6.0, 1/8.5];
[2,7, 1, 5.0, 1/9];
[3,5, 1, 4.0, 1/8.5];
[4,5, 1, 3.0, 1/10.5];
[5,6, 1, 3.0, 1/10.5];
[2,6, 1, 4.0, 1/10.5];
[6,7, 1, 5.0, 1/10.5];
[7,35, 1, 5.0, 1/11];
[35,8, 1, 7.0, 1/11];
[8,41, 1, 3.0, 1/10.5];
[41,9, 1, 5.0, 1/10.5];
[9,10, 1, 7.0, 1/10];
[5,12, 1, 5.0, 1/9];
[6,12, 1, 4.0, 1/9];
[12,13, 1, 3.0, 1/8.5];
[12,34, 1, 5.0, 1/5];
[7,44, 1, 5.0, 1/6.5];
[44,13, 1, 6.0, 1/6.5];
[13,14, 1, 3.0, 1/9];
[13,15, 1, 3.0, 1/8.5];
[8,17, 1, 5.0, 1/8.5];
[9,18, 1, 4.0, 1/9];
[11,34, 1, 5.0, 1/8.5];
[34,14, 1, 2.0, 1/8.5];
[14,15, 1, 3.0, 1/8];
[15,16, 1, 4.0, 1/12];
[16,36, 1, 5.0, 1/9];
[36,17, 1, 4.0, 1/9];
[17,42, 1, 5.0, 1/9];
[42,18, 1, 6.0, 1/9];
[18,19, 1, 6.0, 1/10.5];
[14,21, 1, 3.0, 1/8];
[15,22, 1, 3.0, 1/17];
[16,23, 1, 2.0, 1/6.5];
[17,24, 1, 2.0, 1/10.5];
[18,26, 1, 3.0, 1/9];
[20,21, 1, 3.0, 1/8.5];
[21,22, 1, 4.0, 1/10];
[22,23, 1, 3.0, 1/10.5];
[23,37, 1, 5.0, 1/10];
[37,24, 1, 3.0, 1/10]
[24,43, 1, 6.0, 1/11];
[43,25, 1, 5.0, 1/11];
[25,26, 1, 2.0, 1/12];
[26,27, 1, 7.0, 1/10.5];
[21,29, 1, 5.0, 1/9];
[22,28, 1, 4.0, 1/10.5];
[23,28, 1, 1.5, 1/8.5];
[28,30, 1, 2.0, 1/11];
[28,31, 1, 3.0, 1/8.5];
[24,40, 1, 3.0, 1/10.5];
[40,32, 1, 1.5, 1/10.5];
[25,33, 1, 2.0, 1/12];
[35,36, 1, 9.0, 1/5];
[36,37, 1, 3.0, 1/7];
[37,38, 1, 4.0, 1/5];
[38,39, 1, 2.0, 1/5];
[38,40, 1, 2.0, 1/5];
[38,28, 1, 12.0, 1/5];
[41,42, 1, 8.0, 1/7];
[42,43, 1, 10.0, 1/7]];
dest = 22;
ODs = [[2, dest, 6.0]
[4, dest, 5.0];
[5, dest, 5.0];
[6, dest, 2.0];
[7, dest, 2.0];
[8, dest, 4.0];
[9, dest, 3.0];
[10, dest, 2.0];
[11, dest, 10.0];
[17, dest, 4.0];
[18, dest, 3.0];
[19, dest, 2.0]
[20, dest, 10.0];
[24, dest, 4.0];
[25, dest, 2.0];
[26, dest, 2.0];
[27, dest, 2.0]
[29, dest, 10.0];
[30, dest, 10.0];
[31, dest, 10.0];
[33, dest, 2.0]];
ODs1 = [ODs(:,1:2), 0.5*ODs(:,3)];
ODs2 = [ODs(:,1:2), 0.8*ODs(:,3)];
ODs3 = ODs;
ODs4 = [ODs(:,1:2), 1.2*ODs(:,3)];
ODs1_noisy = [ODs1(:,1:2), normrnd(ODs1(:,3), ODs1(:,3)/30)];
ODs2_noisy = [ODs2(:,1:2), normrnd(ODs2(:,3), ODs2(:,3)/30)];
ODs3_noisy = [ODs3(:,1:2), normrnd(ODs3(:,3), ODs3(:,3)/30)];
ODs4_noisy = [ODs4(:,1:2), normrnd(ODs4(:,3), ODs4(:,3)/30)];
%figure;
%plot(D(:,2),D(:,1),'.','MarkerSize',20)
links = [links; [links(:,2), links(:,1), links(:,3:5)]];
links_noisy = [links(:,1:3), normrnd(links(:,4), links(:,4)/30), links(:,5)];
save('los_angeles_data.mat','nodes','links','ODs1','ODs2','ODs3','ODs4',...
'links_noisy','ODs1_noisy','ODs2_noisy','ODs3_noisy','ODs4_noisy')