求教——摄像头的最优安装
大家好，才接触建模不久。请各位关照~~~问题如图所示：请教解法~~~
没人会吗？:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:( 没人会吗？:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:( 好像以前在哪见过 将其变成优化问题，先将该问题抽象成一个图
然后决定优化与否的量化的标准：在某个状态下将各个摄像头所能覆盖的街道数作为目标函数
然后约束可以设定
在约束中可以将各个节点装摄像头与否设为0-1变量
你再试着做一下 code:
model:
x1+x2=1;
x1+x3=1;
x2+x41+x42>=1;
x2+x39=1;
x3+x11=1;
x4+x6+x8+x9>=1;
x4+x5=1;
x6+x7=1;
x9+x10=1;
x11+x21+x22+x25+x26+x27>=1;
x12+x15+x19>=1;
x12+x13+x14>=1;
x14+x18=1;
x14+x15=1;
x16+x20=1;
x17+x18+x19+x20+x21>=1;
x22+x23=1;
x23+x32+x38>=1;
x24+x25=1;
x25+x30=1;
x26+x28=1;
x28+x29=1;
x30+x31+x33+x37+x43>=1;
x31+x32=1;
x33+x34=1;
x34+x35=1;
x35+x36=1;
x37+x38+x40>=1;
x39+x40+x41>=1;
x43+x44+x45>=1;
x44+x49=1;
x45+x47=1;
x47+x48=1;
x4=1;
x12=1;
x13=1;
x15=1;
x16=1;
x37=1;
x41=1;
x46=1;
min=x1+x2+x3+x4+x5+x6+x7+x8+x9+x10+x11+x12+x13+x14+x15+x16+x17+x18+x19+x20+x21+x22+x23+x24+x25+x26+x27+x28+x29+x30+x31+x32+x33+x34+x35+x36+x37+x38+x39+x40+x41+x42+x43+x44+x45+x46+x47+x48+x49;
end
output:
Global optimal solution found.
Objective value: 21.00000
Total solver iterations: 0
Variable Value Reduced Cost
X1 0.000000 1.000000
X2 1.000000 0.000000
X3 1.000000 0.000000
X41 1.000000 0.000000
X42 0.000000 1.000000
X39 0.000000 0.000000
X11 0.000000 0.000000
X4 1.000000 0.000000
X6 0.000000 0.000000
X8 0.000000 1.000000
X9 0.000000 0.000000
X5 0.000000 0.000000
X7 1.000000 0.000000
X10 1.000000 0.000000
X21 0.000000 1.000000
X22 1.000000 0.000000
X25 1.000000 0.000000
X26 0.000000 1.000000
X27 0.000000 1.000000
X12 1.000000 0.000000
X15 1.000000 0.000000
X19 0.000000 1.000000
X13 1.000000 0.000000
X14 0.000000 0.000000
X18 1.000000 0.000000
X16 1.000000 0.000000
X20 0.000000 0.000000
X17 0.000000 1.000000
X23 0.000000 0.000000
X32 1.000000 0.000000
X38 0.000000 1.000000
X24 0.000000 1.000000
X30 0.000000 0.000000
X28 1.000000 0.000000
X29 0.000000 0.000000
X31 0.000000 0.000000
X33 0.000000 0.000000
X37 1.000000 0.000000
X43 0.000000 1.000000
X34 1.000000 0.000000
X35 0.000000 0.000000
X36 1.000000 0.000000
X40 0.000000 1.000000
X44 1.000000 0.000000
X45 0.000000 1.000000
X49 0.000000 0.000000
X47 1.000000 0.000000
X48 0.000000 0.000000
X46 1.000000 0.000000
Row Slack or Surplus Dual Price
1 0.000000 0.000000
2 0.000000 0.000000
3 1.000000 0.000000
4 0.000000 -1.000000
5 0.000000 -1.000000
6 0.000000 0.000000
7 0.000000 -1.000000
8 0.000000 -1.000000
9 0.000000 -1.000000
10 1.000000 0.000000
11 1.000000 0.000000
12 1.000000 0.000000
13 0.000000 -1.000000
14 0.000000 0.000000
15 0.000000 -1.000000
16 0.000000 0.000000
17 0.000000 -1.000000
18 0.000000 0.000000
19 0.000000 0.000000
20 0.000000 -1.000000
21 0.000000 0.000000
22 0.000000 -1.000000
23 0.000000 0.000000
24 0.000000 -1.000000
25 0.000000 -1.000000
26 0.000000 0.000000
27 0.000000 -1.000000
28 0.000000 0.000000
29 0.000000 0.000000
30 0.000000 0.000000
31 0.000000 -1.000000
32 0.000000 0.000000
33 0.000000 -1.000000
34 0.000000 0.000000
35 0.000000 -1.000000
36 0.000000 -1.000000
37 0.000000 -1.000000
38 0.000000 0.000000
39 0.000000 -1.000000
40 0.000000 -1.000000
41 0.000000 -1.000000
42 21.00000 -1.000000
安装21个摄像头 高手哦！！！！
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