84 438 385 85 440 392 86 447 392 87 448 381 88 444.5 383 89 441 385 90 440.5 381.5 91 445 380 92 444 360]; y=[413 359 403 343 383.5 351 381 377.5 339 376 335 383 317 362 334.5 353.5 333 342 282 325 247 301 219 316 225 270 280 292 290 335 337 328 415 335 432 371 418 374 444 394 251 277 234 271 225 265 212 290 227 300 256 301 250.5 306 243 328 246 337 314 367 315 351 326 355 327 350 328 342.5 336
339
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336 334 331 335 371 330 371 333 388.5 330.5 411 327.5 419 344 411 343 394 346 342 342 342 348 325 372 315 374 342 372 345 382 348.5 380.5 351 377 348 369 370 363 371 353 354 374 363 382.5 357 387 351 382 369 388 335 395 381 381 391 375 392 366 395 361 398 362 401 359 405 360 410 355 408 350 415 351 418 347 422 354 418.5 356 405.5 364.5 405 368 409 370 417 364 420
370
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424 438 438.5 434 438 440 447 448 444.5 441 440.5 445 444
372 368 373 376 385 392 392 381 383 385 381.5 380 360];
a=length(x(:,1)); a1=length(y(:,1)); hold on for i=1:a; b=x(i,2); c=x(i,3); if x(i,1)<=20; text(b,c,num2str(i)); plot(b,c,'ro') end
if 21<=x(i,1)<=92; text(b,c,num2str(i)); plot(b,c,'k') end end
plot(x(:,2),x(:,3),'*'); index1 = find(Y(:,1)<=92); index2 = find(Y(:,2)<=92); index = intersect(index1,index2); path = Y(index,:); hold on
for i = 1:length(path)
line(x(path(i,:),2),x(path(i,:),3)) end
附录二：A城区92个节点相互之间最短路径的Floyd计算代码
clear;
A=xlsread('A');B=xlsread('B'); a=zeros(size(A,1),size(A,1)); for i=1:size(A,1) for j=1:size(A,1)
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if i~=j a(i,j)=inf; end end end
for i=1:size(B,1) x=B(i,1);y=B(i,2);
a(x,y)=sqrt((A(x,2)-A(y,2))^2+(A(x,3)-A(y,3))^2); a(y,x)=a(x,y); end [D,path]=floyd(a);
附录三：A城区92个节点相互之间的最短距离
clear;
A=xlsread('A');B=xlsread('B'); A=A(1:92,:);
a=zeros(size(A,1),size(A,1)); for i=1:size(A,1) for j=1:size(A,1) if i~=j a(i,j)=inf; end end end
for i=1:size(B,1) x=B(i,1);y=B(i,2); if x<93&&y<93
a(x,y)=sqrt((A(x,2)-A(y,2))^2+(A(x,3)-A(y,3))^2); a(y,x)=a(x,y); end end
[D,path]=floyd(a); pingtai=D(1:20,:);
[minD,xuhao]=min(pingtai,[],1); guanxia=zeros(20,10); for i=1:20 k=1; for j=1:92 if xuhao(j)==i; guanxia(i,k)=j; k=k+1; end end end
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附录四：问题一模型的求解编程
clear;
A=xlsread('A');B=xlsread('B'); A=A(1:92,:);
a=zeros(size(A,1),size(A,1)); for i=1:size(A,1) for j=1:size(A,1) if i~=j a(i,j)=inf; end end end
for i=1:size(B,1) x=B(i,1);y=B(i,2); if x<93&&y<93
a(x,y)=sqrt((A(x,2)-A(y,2))^2+(A(x,3)-A(y,3))^2); a(y,x)=a(x,y); end end
[D,path]=floyd(a); pingtai=D(1:20,:);
[minD,xuhao]=min(pingtai,[],1); guanxia=zeros(20,10); for i=1:20 k=1; for j=1:92 if xuhao(j)==i; guanxia(i,k)=j; k=k+1; end end end
附录五：问题一模型结果图
clear;
A=xlsread('A');B=xlsread('B'); A=A(1:92,:);
a=zeros(size(A,1),size(A,1)); for i=1:size(A,1) for j=1:size(A,1) if i~=j a(i,j)=inf; end
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