- 在线时间
- 8 小时
- 最后登录
- 2014-9-21
- 注册时间
- 2011-7-22
- 听众数
- 2
- 收听数
- 0
- 能力
- 0 分
- 体力
- 121 点
- 威望
- 0 点
- 阅读权限
- 20
- 积分
- 44
- 相册
- 0
- 日志
- 0
- 记录
- 1
- 帖子
- 19
- 主题
- 0
- 精华
- 0
- 分享
- 0
- 好友
- 0
升级   41.05% TA的每日心情 | 衰 2014-9-21 17:53 |
---|
签到天数: 13 天 [LV.3]偶尔看看II
|
附1 的计算(lingo编程):
model:
sets:
plane/1..6/:x0,y0;
link(plane,plane):alpha,sin2;
endsets
@for(link(n,m)|n#ne#m:
sin2(n,m)=64/((x0(n)-x0(m))^2+(y0(n)-y0(m))^2);
);
@for(link(n,m)|n#ne#m:
(@sin(alpha*3.14159265/180.0))^2=sin2;
);
data:
x0=150,85,150,145,130,0;
y0=140,85,155,50,150,0;
enddata
end
ALPHA=
ALPHA( 1, 1) 0.000000
ALPHA( 1, 2) 5.391190
ALPHA( 1, 3) 392.2310
ALPHA( 1, 4) 5.091816
ALPHA( 1, 5) 159.0366
ALPHA( 1, 6) 2.234507
ALPHA( 2, 1) 5.391190
ALPHA( 2, 2) 0.000000
ALPHA( 2, 3) 4.804024
ALPHA( 2, 4) 6.613460
ALPHA( 2, 5) 5.807866
ALPHA( 2, 6) 3.815925
ALPHA( 3, 1) 392.2310
ALPHA( 3, 2) 4.804024
ALPHA( 3, 3) 0.000000
ALPHA( 3, 4) 4.364672
ALPHA( 3, 5) 202.8337
ALPHA( 3, 6) 2.125539
ALPHA( 4, 1) 5.091816
ALPHA( 4, 2) 6.613460
ALPHA( 4, 3) 4.364672
ALPHA( 4, 4) 0.000000
ALPHA( 4, 5) 4.537692
ALPHA( 4, 6) 2.989819
ALPHA( 5, 1) 159.0366
ALPHA( 5, 2) 5.807866
ALPHA( 5, 3) 202.8337
ALPHA( 5, 4) 4.537692
ALPHA( 5, 5) 0.000000
ALPHA( 5, 6) 2.309841
ALPHA( 6, 1) 2.234507
ALPHA( 6, 2) 3.815925
ALPHA( 6, 3) 2.125539
ALPHA( 6, 4) 2.989819
ALPHA( 6, 5) 2.309841
ALPHA( 6, 6) 0.000000
附2 的计算(matlab编程):
a=[150,85,150,145,130,0];b=[140,85,155,50,150,0];
x=a+b*i;
c=[243,236,220.5,159,230,52]*pi/180;
v=exp(i*c);
k=length(a);
for n=1:k
for m=1:k
cita(n,m)=(angle(v(n)-v(m))-angle(x(m)-x(n)))*180/pi;
end
end
cita
cita =
0 109.2636 -128.2500 24.1798 -186.9349 14.4749
109.2636 0 -88.8711 -42.2436 -92.3048 9.0000
231.7500 271.1289 0 12.4763 301.2138 0.3108
24.1798 -42.2436 12.4763 0 5.9692 -3.5256
173.0651 267.6952 -58.7862 5.9692 0 1.9144
14.4749 9.0000 0.3108 -3.5256 1.9144 0
附3 最优解的计算lingo程序:
因与在lingo编程里不易区分,因此将表示为beita
model:
sets:
plane/1..6/:cita;
link(plane,plane):alpha,beta;
endsets
min=@sum(plane abs(cita));
@for(plane(n):
@bnd(-30,cita(n),30);
);
@for(link(n,m)|n#ne#m:
@abs(beta(n,m)+0.5*cita(n)+0.5*cita(m))
>alpha(n,m);
);
data:
alpha=0.000000,5.391190,32.230953,5.091816,20.963361,2.234507,
5.391190,0.000000,4.8040024,6.813460,5.807866,3.815925,
32.230953,4.804024,0.000000,4.364672,22.833654,2.125539,
5.091816,6.613460,4.363673,0.000000,4.537692,2.989819, 20.963361,5.807866,22.833654,4.537692,0.000000,2.309841,
2.234507,3.815925,2.125539,2.989819,2.309841,0.000000;
beta=0.000000 109.263642 -128.250000 24.179830 173.065051 13.474934
109.263642 0.000000 -88.871096 -42.243563 -92.304847 9.000000
-128.250000 -88.87096 0.000000 12.476311 -58.786243 0.310809
24.179830 -42.243563 12.476311 0.000000 5.969234 -3.525606
174.065051 -92.304846 -58.786244 5.969234 0.000000 1.914383
14.474934 9.000000 0.310809 -3.525606 1.913383 0.000000;
enddata
end
结果
CITA( 1) 0.000000
CITA( 2) 0.000000
CITA( 3) 2.836544
CITA( 4) 0.000000
CITA( 5) 0.000000
CITA( 6) 0.7929160
|
|