-
Notifications
You must be signed in to change notification settings - Fork 1
/
Copy pathAmatrixchange.asv
436 lines (432 loc) · 21.9 KB
/
Amatrixchange.asv
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
clear all;
clc;
%考虑每个方向通行情况，车多，车少以及堵车
%0804
%theta为对每种资源的payoff
t=10; %inner loop iteration time
B2_0=10;
P2_0=10;
P3_0=10;
N0=10^(-14.4);%1e-10;
Bm=150;
Pm=300;
% d12_R=1000*(0.002+0.029*rand(1,1));
% d23_V=(0.005+0.05*rand(1,1))*1000;
ga=[1.59,1.68,1.77,2,2.75,3.76,4];
% pB=10;
pP=1;
P2_1=10;
alpha=1;
eps=1e-14;
eps2=1e-4;
M=100;%op的uf乘数
c0=1;
% c0=1e-8;
rho=1;
halflen = 70;
%不同交通状况下的车距
% cardis_jam = 2;
% carmindis_jam = 4;
% cardis_heavy = 10;
% carmindis_heavy = 6;
% cardis_light = 50;
% carmindis_light = 16;
cardis=[2,10,50];
carmindis=[4,6,16];
coverrange = 25:5:65;
verd = [7,3,-3,-7];
r=zeros(4,35);
for i =1:4
for j=1:35
r(i,j)=1.5+0.5*rand(1,1);
end
end
fxstar=zeros(500,9,7);
fxbefore=zeros(9,7);
totalcar=zeros(1,9);
crvcar=zeros(1,9);
% for rdir1con=1:3
% for rdir2con=rdir1con:3
% disp(rdir1con);
% disp(rdir2con);
rdir1con=3;
rdir2con=2;
% for rsel=1:9
rsel=6;
%% car generating
car_location = zeros(4,35);
car_id = randperm(1000);%1-1000随机排列
car_idnum = zeros(4,35);%存放每个位置的车序号
crv=zeros(4,35);
car_bucket=cell(10,20);%10个桶，根据车序号个位数分配桶
bucket_cnt=zeros(10,1);%桶内车辆计数
d12_R = zeros(4,35);
d23_V = zeros(4,35);
idcnt=1;
for i = 1:2%每条车道第一辆车
car_location(i,1)=rand(1,1)*carmindis(rdir1con)-halflen;
car_idnum(i,1)=car_id(idcnt);
idcnt=idcnt+1;
end
for i = 3:4%每条车道第一辆车
car_location(i,1)=rand(1,1)*carmindis(rdir2con)-halflen;
car_idnum(i,1)=car_id(idcnt);
idcnt=idcnt+1;
end
crvnum=0;
carnum = zeros(4,1);
for i = 1:2
for j = 2:35
car_location(i,j)=car_location(i,j-1)+carmindis(rdir1con)+rand(1,1)*cardis(rdir1con);
if car_location(i,j) > halflen
car_location(i,j)=NaN;
carnum(i) = j-1;%每条道车的数量
break;
end
car_idnum(i,j) = car_id(idcnt);
idcnt=idcnt+1;
if car_location(i,j)^2 + verd(i)^2 <= coverrange(rsel)^2
d12_R(i,j) = sqrt(car_location(i,j)^2 + verd(i)^2);
crvnum=crvnum+1;
end
end
end
for i = 3:4
for j = 2:35
car_location(i,j)=car_location(i,j-1)+carmindis(rdir2con)+rand(1,1)*cardis(rdir2con);
if car_location(i,j) > halflen
car_location(i,j)=NaN;
carnum(i) = j-1;%每条道车的数量
break;
end
car_idnum(i,j) = car_id(idcnt);
idcnt=idcnt+1;
if car_location(i,j)^2 + verd(i)^2 <= coverrange(rsel)^2
d12_R(i,j) = sqrt(car_location(i,j)^2 + verd(i)^2);
crvnum=crvnum+1;
end
end
end
totalcar(3*rdir1con+rdir2con-3)=sum(carnum);
crvcar(3*rdir1con+rdir2con-3)=crvnum;
% totalcar(gasel)=sum(carnum);
% crvcar(gasel)=crvnum;
urvnum=sum(carnum)-crvnum;
urvcellcnt=0;
% relay generation
CRV=cell(1,urvnum);
URV=cell(1,urvnum);
for i=1:4
dir=0;
urvrelaysel1=0;
urvrelaysel2=0;
for j = 1:carnum(i)
if d12_R(i,j)>0
dir=1;
else
if dir==0
urvrelaysel1=urvrelaysel1+1;
else
urvrelaysel2=urvrelaysel2+1;
end
end
end
for relaygen1=1:urvrelaysel1
URV{urvcellcnt+relaygen1}=[i,relaygen1];
CRV{urvcellcnt+relaygen1}=[i,relaygen1+urvrelaysel1];
end
urvcellcnt=urvcellcnt+urvrelaysel1;
for relaygen2=1:urvrelaysel2
URV{urvcellcnt+relaygen2}=[i,carnum(i)-urvrelaysel2+relaygen2];
CRV{urvcellcnt+relaygen2}=[i,carnum(i)-2*urvrelaysel2+relaygen2];
end
urvcellcnt=urvcellcnt+urvrelaysel2;
end
% k1=0;
% count = zeros(10,1);
% for i=1:4
% for j = 1:carnum(i)
% if d12_R(i,j)==0
% flag = 0;
% while flag==0
% while bucket_cnt(mod(car_idnum(i,j)+k1,10)+1)==0 %如果对应的桶为空，即没有可以作为relay的车，看下一个桶
% k1 = k1+1;
% end
% relaybucket=mod(car_idnum(i,j)+k1,10)+1;
% count(relaybucket) = mod(count(relaybucket),bucket_cnt(relaybucket))+1;%桶中用来relay的对应车辆，从第一辆开始，桶内循环
% tmp=car_bucket{relaybucket,count(relaybucket)}(3);%相应桶的相应车第三个元素，记录的是relay的数目
% if tmp<1
% flag = 1;
% car_bucket{relaybucket,count(relaybucket)}(3)=tmp+1;%更新relay信息
% car_bucket{relaybucket,count(relaybucket)}(tmp*2+4)=i;
% car_bucket{relaybucket,count(relaybucket)}(tmp*2+5)=j;
% CRV{urvcellcnt}=car_bucket{relaybucket,count(relaybucket)}(1:2);
% URV{urvcellcnt}=[i,j];
% urvcellcnt=urvcellcnt+1;
% else
% k1 = k1+1;%若该车已经有relay了，换下一个桶
% end
% %count(relaybucket) =
% %mod(count(relaybucket),bucket_cnt(relaybucket))+1;换同一个桶中下一辆车
% % 还没写完，可以考虑先把同一个桶中的车先找完再找下一个桶，不用了，上面已经考虑到了
% end
% end
% end
% end
%%
%A1=[1,0;0,1;0,0];
%A2=[1,0;0,0];
%用cell来构建URV及对应的CRV的index坐标
% CRV={[2,4],[4,2],[2,2],[1,4],[3,4],[1,2],[2,3]};
% URV={[1,6],[2,1],[4,1],[3,6],[1,1],[3,1],[4,6]};
%考虑在找relay的时候建立cell数组
% for gasel=1:7
k=3;
for i = 1:urvnum
d23_V(URV{i}(1),URV{i}(2))=sqrt((car_location(URV{i}(1),URV{i}(2))-car_location(CRV{i}(1),CRV{i}(2))^2+(verd(URV{i}(1))-verd(CRV{i}(1)))^2));
end
% xhat=zeros(7,3);%7是relay的数量
matrixd=max(crvnum,urvnum);
A1=zeros(crvnum,2*matrixd+2,2); %CRV约束的系数矩阵
for i=1:crvnum
A1(i,2*i-1:2*i,:)=eye(2);
end
for totcon=1:crvnum
A1(totcon,2*matrixd+1,1)=1;
A1(totcon,2*matrixd+2,2)=1;
end
A1T=permute(A1,[2,3,1]);
A2=zeros(urvnum,2*matrixd+2,2);%URV约束的系数矩阵
for i=1:urvnum
A2(i,2*i-1,1)=1;
end
for totcon=1:urvnum
A1(totcon,2*matrixd+1,1)=1;
A1(totcon,2*matrixd+2,2)=1;
end
A2T=permute(A2,[2,3,1]);
C=zeros(2*matrixd+2,1);%算法中的约束对应的常数矩阵C
for i=1:crvnum
C(i*2-1:2*i)=[B2_0;P2_0];
end
C(2*matrixd+1:2*matrixd+2)=[Bm,Pm];
% if rdir1con==rdir2con && gasel <=4
% continue;
% end
gasel=1;
disc=zeros(4,35,500);
x=zeros(3,500,4,35);
x1=zeros(2,500,4,35);
for i=1:4
for j=1:carnum(i)
if d12_R(i,j)>0
BP1=sdpvar(3,1);
F0_1 = [0<=BP1(1)<=B2_0,0<=BP1(2)<=P2_0,0<=BP1(3)<=P2_1];
obj0_1=-r(i,j)*cap(BP1(1),BP1(2),d12_R(i,j),ga(gasel),N0)+pP*(BP1(2)+BP1(3));
options = sdpsettings('verbose',0,'cachesolvers',1,'solver','fmincon','fmincon.MaxFunEvals',5000,'fmincon.TolCon',...
1e-20,'fmincon.TolX',1e-20,'fmincon.TolFun',1e-20,'fmincon.TolConSQP',1e-20,...
'fmincon.TolPCG',1e-20,'fmincon.TolProjCG',1e-20,'usex0',1,'fmincon.TolProjCGAbs',1e-20);
assign(BP1,[0;0;0]);
sol1=optimize(F0_1,obj0_1,options);
optobj1=value(obj0_1);
optx1=value(BP1);
%xhat(i)=optx1;
x(:,2,i,j)=optx1;
end
end
end
crvdisflag=1;
urvdisflag=1;
fx=0;
for i=1:4
for j=1:carnum(i)
if d12_R(i,j)>0
if cap(x(1,2,i,j),x(2,2,i,j),d12_R(i,j),ga(gasel),N0)>=c0
fx=fx+1;
if crvdisflag ==1
disfxwhencrv=[num2str(fx),' crviscnted '];
disp(disfxwhencrv);
crvdisflag=0;
end
end
end
end
end
fxbefore(3*rdir1con+rdir2con-3,gasel)=fx;
% x2=zeros(2,500,t);
%c1=cap(optx1(1),optx1(2),d12_R,ga,N0);
c2=0;
lamda=zeros(2*matrixd+2,500);
theta=zeros(sum(carnum)*3,500);
theta(:,3)=ones(sum(carnum)*3,1);
c_urv=zeros(4,35);
tonorm=zeros(2*matrixd+2,1);
tonormlast=zeros(2*matrixd+2,1);
fx1=zeros(500,1);
fx1(1)=crvnum;
fx1(2)=crvnum;
tmpx=zeros(3,1);
tmpx1=zeros(2,1);
while k<=10 || abs((-fx1(k-1)-lamda(k-1)*tonorm+rho/2*norm(tonorm)^2)-(-fx1(k-2)-lamda(k-2)*tonormlast+rho/2*norm(tonormlast)^2))>eps%L(x(:,k-1,t),x(:,k-1,t),lamda(:,k-1,t),C,rho,A1,A2,c1,c2)-...
%L(x(:,k-2,t),x(:,k-2,t),lamda(:,k-2,t),C,rho,A1,A2,c1,c2)
tonormlast=tonorm;
for i=2:t-1
crvcnt=1;
urvcnt=1;
tmpx=x(:,k,4,carnum(4));
tmpx1=x1(:,k,4,carnum(4));
for eachcari=1:4
% disp(eachcari);
for eachcarj = 1:carnum(eachcari)
currentcar=eachcarj;
for curcarcnt=1:eachcari-1
currentcar=currentcar+carnum(curcarcnt);
end
tonorm=-C;
urv=1;crv=1;
for eachcari1=1:4
for eachcarj1=1:carnum(eachcari1)
if d12_R(eachcari1,eachcarj1)>0
tonorm=tonorm+A1T(:,:,crv)*x(1:2,k,eachcari1,eachcarj1);
crv=crv+1;
else
tonorm=tonorm+A2T(:,:,urv)*x1(:,k,eachcari1,eachcarj1);
urv=urv+1;
end
end
end
% disp(eachcarj);
if d12_R(eachcari,eachcarj)>0
%CRV
BP=sdpvar(3,1);
% disp(100);
F1 = [0<=BP(1)<=B2_0,0<=BP(2)<=P2_0,0<=BP(3)<=P2_1];
% obj1=-r2*cap(BP(1),BP(2),d12_R,ga,N0)+pP*(BP(2)+BP(3))+pB*BP(1)-theta(1,k)*BP(1)-theta(2,k)*BP(2)-theta(3,k)*BP(3)-lamda(:,k,i)'*A1'*BP+rho/2*norm(A1'*BP+A2'*x2(:,k,i)-C)^2-M./(1+(exp(-cap(BP(1),BP(2),d12_R,ga,N0))));
obj1=-r(eachcari,eachcarj)*cap(BP(1),BP(2),d12_R(eachcari,eachcarj),ga(gasel),N0)+pP*(BP(2)+BP(3))-theta((currentcar-1)*3+1,k)*BP(1)- theta((currentcar-1)*3+2,k)*BP(2)-theta((currentcar-1)*3+3,k)*BP(3)-lamda(:,k)'*A1T(:,:,crvcnt)*BP(1:2)+rho/2*norm(A1T(:,:,crvcnt)*BP(1:2)-A1T(:,:,crvcnt)*x(1:2,k,eachcari,eachcarj)+tonorm)^2-M*double(cap(BP(1),BP(2),d12_R(eachcari,eachcarj),ga(gasel),N0)>=c0);
options = sdpsettings('verbose',0,'cachesolvers',1,'solver','fmincon','fmincon.MaxFunEvals',7000,'usex0',1,...
'fmincon.TolX',1e-200,'fmincon.TolFun',1e-20,'fmincon.TolConSQP',1e-20,...
'fmincon.TolPCG',1e-20,'fmincon.TolProjCG',1e-20,'fmincon.TolProjCGAbs',1e-20);%'fmincon.TolCon',1e-16,
assign(BP,[8,9,1]');
sol1=optimize(F1,obj1,options);
% disp(101);
x(:,k,eachcari,eachcarj)=value(BP);
% disp(102);
crvcnt=crvcnt+1;
% disp(crvcnt);
else
%URV
BP2=sdpvar(2,1);
relayi=CRV{urvcnt}(1);
relayj=CRV{urvcnt}(2);
% for tmpi=1:10
% if (isempty(car_bucket{tmpi,1})) %判断tmpi号桶中是否有车
% continue;
% else
% for tmpj=1:30 %3应该是可以调大一点的
% if eachcari==car_bucket{tmpi,tmpj}(4) && eachcarj==car_bucket{tmpi,tmpj}(5)
% relayi=car_bucket{tmpi,tmpj}(1);
% relayj=car_bucket{tmpi,tmpj}(2);
% break;
% end
% if(isempty(car_bucket{tmpi,tmpj+1})==1) %如果找不到有relay的车，那么跳出这层循环
% break;
% end
% end
% if relayi>0
% break;
% end
% end
% end
F2=[0<=BP2(1)<=B2_0,0<=BP2(2)<=P3_0];
% obj2=-r3*0.5*min(cap(BP2(1),BP2(2),d12_R,ga,N0),cap(BP2(1),x1(3,k,i+1),d23_V,ga,N0))+pP*...
% BP2(2)+pB*BP2(1)-M*(min(cap(BP2(1),BP2(2),d13,k,i+1),d23_V,ga,N0))...
% -c0)-lamda(:,k,i)'*A2'*BP2+rho/2*norm(A2'*BP2+A1'*x1(:,k,i+1)-C)^2;
if relayi<eachcari ||(relayi==eachcari && relayj<eachcarj)
obj2=-r(eachcari,eachcarj)*0.5*min(cap(BP2(1),BP2(2),sqrt(car_location(eachcari,eachcarj)^2 + verd(eachcari)^2),ga(gasel),N0),cap(BP2(1),x(3,k,relayi,relayj),d23_V(eachcari,eachcarj),ga(gasel),N0))+pP*...
BP2(2)-M*double(min(cap(BP2(1),BP2(2),sqrt(car_location(eachcari,eachcarj)^2 + verd(eachcari)^2),ga(gasel),N0),cap(BP2(1),x(3,k,relayi,relayj),d23_V(eachcari,eachcarj),ga(gasel),N0))...
>=c0)-lamda(:,k)'*A2T(:,:,urvcnt)*BP2+rho/2*norm(A2T(:,:,urvcnt)*BP2-A2T(:,:,urvcnt)*x1(:,k,eachcari,eachcarj)+tonorm)^2;
options = sdpsettings('verbose',0,'cachesolvers',1,'solver','fmincon','fmincon.MaxFunEvals',7000,'fmincon.TolCon',...
1e-20,'fmincon.TolX',1e-20,'fmincon.TolFun',1e-20,'fmincon.TolConSQP',1e-20,...
'fmincon.TolPCG',1e-20,'fmincon.TolProjCG',1e-20,'fmincon.TolProjCGAbs',1e-20);
sol22=optimize(F2,obj2,options);
x1(:,k,eachcari,eachcarj)=value(BP2);
c_urv(eachcari,eachcarj)=0.5*min(cap(x1(1,k,eachcari,eachcarj),x1(2,k,eachcari,eachcarj),sqrt(car_location(eachcari,eachcarj)^2 + verd(eachcari)^2),ga(gasel),N0),cap(x1(1,k,eachcari,eachcarj),x(3,k,relayi,relayj),d23_V(eachcari,eachcarj),ga(gasel),N0));
else
obj2=-r(eachcari,eachcarj)*0.5*min(cap(BP2(1),BP2(2),sqrt(car_location(eachcari,eachcarj)^2 + verd(eachcari)^2),ga(gasel),N0),cap(BP2(1),x(3,k-1,relayi,relayj),d23_V(eachcari,eachcarj),ga(gasel),N0))+pP*...
BP2(2)-M*double(min(cap(BP2(1),BP2(2),sqrt(car_location(eachcari,eachcarj)^2 + verd(eachcari)^2),ga(gasel),N0),cap(BP2(1),x(3,k-1,relayi,relayj),d23_V(eachcari,eachcarj),ga(gasel),N0))...
>=c0)-lamda(:,k)'*A2T(:,:,urvcnt)*BP2+rho/2*norm(A2T(:,:,urvcnt)*BP2-A2T(:,:,urvcnt)*x1(:,k,eachcari,eachcarj)+tonorm)^2;
options = sdpsettings('verbose',0,'cachesolvers',1,'solver','fmincon','fmincon.MaxFunEvals',7000,'fmincon.TolCon',...
1e-20,'fmincon.TolX',1e-20,'fmincon.TolFun',1e-20,'fmincon.TolConSQP',1e-20,...
'fmincon.TolPCG',1e-20,'fmincon.TolProjCG',1e-20,'fmincon.TolProjCGAbs',1e-20);
sol2=optimize(F2,obj2,options);
x1(:,k,eachcari,eachcarj)=value(BP2);
c_urv(eachcari,eachcarj)=0.5*min(cap(x1(1,k,eachcari,eachcarj),x1(2,k,eachcari,eachcarj),sqrt(car_location(eachcari,eachcarj)^2 + verd(eachcari)^2),ga(gasel),N0),cap(x1(1,k,eachcari,eachcarj),x(3,k-1,relayi,relayj),d23_V(eachcari,eachcarj),ga(gasel),N0));
end
urvcnt=urvcnt+1;
% disp(urvcnt);
end
% disp(eachcarj);
end
end
tonorm=tonorm-A2T(:,:,urvnum)*tmpx1+A2T(:,:,urvnum)*x1(:,k,4,carnum(4));
lamda(:,k)=lamda(:,k)-rho*(tonorm);
end
% c1=cap(x1(1,k,t),x1(2,k,t),d12_R,ga,N0);
% disc(1,k)=c1;
% c2=min(cap(x2(1,k,t),x2(2,k,t),d12_R,ga,N0),cap(x2(1,k,t),x1(3,k,t),d23_V,ga,N0));
% disc(2,k)=c2;
flag=0;
rescrv=1;
% disp(c_urv);
for i=1:4
for j=1:carnum(i)
if d12_R(i,j)>0
theta(3*rescrv-3+1,k+1)=(-r(i,j)*(log2(1+x(2,k,i,j).*d12_R(i,j)^(-ga(gasel))./(N0*x(1,k,i,j)))-1/(log(2)*(1+(N0*x(1,k,i,j))/x(2,k,i,j).*d12_R(i,j)^(-ga(gasel))))))*alpha+(1-alpha)*theta(3*rescrv-3+1,k);
theta(3*rescrv-3+2,k+1)=(pP-r(i,j)/log(2)*(d12_R(i,j)^(-ga(gasel))./N0+x(2,k,i,j)/x(1,k,i,j)))*alpha+(1-alpha)*theta(3*rescrv-3+2,k);
theta(3*rescrv,k+1)=theta(3*rescrv,k)*(1-alpha)+pP*alpha;%-(pP-r(i,j)/log(2)*(d12_R(i,j)^(-ga(gasel))./N0+x(2,k,i,j)/x(1,k,i,j)))*alpha;
rescrv=rescrv+1;
end
end
end
instrucsion='count begin ';
disp(instrucsion);
crvdisflag1=1;
urvdisflag1=1;
for i=1:4
for j=1:carnum(i)
if d12_R(i,j)>0
if cap(x(1,k,i,j),x(2,k,i,j),d12_R(i,j),ga(gasel),N0)>=c0
fx1(k)=fx1(k)+1;
if crvdisflag1 ==1
disfxwhencrv=[num2str(fx1(k)),' crviscnted ',num2str(k)];
disp(disfxwhencrv);
crvdisflag1=0;
end
end
else
if c_urv(i,j)>=c0
fx1(k)=fx1(k)+1;
if urvdisflag1==1
disfxwhenurv=[num2str(fx1(k)),' urviscnted ',num2str(k)];
disp(disfxwhenurv);
urvdisflag1=0;
end
end
end
end
end
for j = 1:urvnum
if abs(disc(CRV{j}(1),CRV{j}(2),k)-disc(CRV{j}(1),CRV{j}(2),k-1))<eps2
flag = flag+1;
end
end
if (flag==urvnum && k>=8) || k>=9
break;
end
k=k+1;
disp(k);
end
fxstar(:,3*rdir1con+rdir2con-3,gasel)=fx1;
% end
% end
% end