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: . : 14.08.2012. : 2011. : 51. antiplagiat.ru: < 30%

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2011
.
.   , , . . , , .
- ࠖ, , , , , , .. , .
. , , , . , . : 2009 1,9 % 7 815,3 . 2008 (7966 . ) [1].

1.15
2007 2008 2009
,
103 106 110
: [2]

70 % , 17 % , 13 % . 10 . ( .. 1,2 . ) . 25 . , 700 , 70 . (500 1) [3].
: , , , . :
- , 頫 , ;
- - , .
, , "" . : (45 %), (23 %), - (17 %), 15 % .

1.16
    , $
    4,2 .
    / 300 .
    127 .
: [2]

. 10% , 14% , 16% - , 21% , (39%) [4].
, . . , , 100% , . . , , , .
2009 $20,1 . . , 2009 $6,9 ., 34,5% , $3,3 , 16,3%. , 2009 9,6%, 9,4% 9,3% [29].
. , , , , 6-14% . 3%.
2008 2009 26%, 23%. 19% 20% .
25%. , . 20 % [1].
2013 20%. : 2013 40% [3].
, 2010 2013 . , [2].
. , , . , , [27].
- , . , , , . , , , .

. . , , . , . . . , .

, , 2009 11, 8% 2008 . 0,4% 2008 74 583 . [26].
. 2000 500, - 238. : 2000 68 , 2008 . - 15, - [7].
, . , ( ). 1 2009 4% 2008, 2%. 2009 1 7% 2008 , 5%.
2008 2009 23%, 19%. 19% 4%. 25 % [14].
. 65% [15], .
, Π (. ), (. ), ? (. ), (. ). .
. , , , . , 2009 2007 - 2008 . 2,8%. 48 (44 % 2009.) - . [7].
, 2010-2013 . - - . , 2010-2013 .
2013 20% . , , . .
2010-2013 : 2013 40% . .
, , , , , , . . .
4 :
    14


    .


(1.1)-(1.5). , ( ), , . (1.1)-(1.5).
. , (1.1)-(1.5):
c18=81 - ;
18=45 - ;
18=36 - ; b1min=1000, b1max=2000, 1=1,2; bq=3000, q=l,2.
.
: ) , ;
) , .
, . , , , .
-.
. ( 4*4) :
opt F(X)={max f1(X) = 36x1 + 36x2, max f2(X) = 36x3+ 36x4,
max f3(X) = 36x5 + 36x6, max f4(X) = 36x7 + 36x8
min f5(X) = 81x1 + 81x5+81x9+81x13+81x17+81x21+81x25+81x29 ,
min f6(X) = 81x2+ 81x6+81x10+81x14+81x18+81x22+81x26+81x30,
min f7(X) = 81x3+81x7+81x11+81x15+81x19+81x23 + 81x27+81x31 ,
min f6(X) = 81x4+ 81x8+81x12+81x16+81x20+81x24+81x28+81x32},
1000 <81x1 + 81x5+81x9+81x13+81x17+81x21+81x25+81x29 < 2000,
1000 < 81x2+ 81x6+81x10+81x14+81x18+81x22+81x26+81x30< 2000,
1000 <81x3+81x7+81x11+81x15+81x19+81x23 + 81x27+81x31< 2000,
1000<81x4+ 81x8+81x12+81x16+81x20+81x24+81x28+81x32<2000,
45x1+ 45x2 < 3000, 45x3+ 45x4 < 3000, 45x5 + 45x6 <3000, 45x7 + 45x8 <3000
x1, , x32 > 0.

, , . .
, . . .
.
1. .
:
[x1,kl,f1]=linpro(f(1,:)',a,b',lb',ub')
[x10,kl,f10]=linpro(-f(1,:)',a,b',lb',ub'), xl ; f1 .
fl = - 1777.7778
fl0=0
xl = 1= 1(1)=24.691358 ,2(1)= 24.691358 , 3(1)= 12.345679, 4(1)= 12.345679
10=10=3(10)=12.345679 ,4(10)= 12.345679 , 5(10)= 12.345679, 6(10)= 12.345679
:
[x2,kl,f2]=linpro(f(2,:)',a,b',lb',ub')
[x20,kl,f20]=linpro(-f(2,:)',a,b',lb',ub')
f2 = - 1777.7778
f20=0
x2 = 2= 1(2)=12.345679,2(2)= 12.345679 , 3(2)=24.691358 , 4(2)= 24.691358
20=20=1(20)=12.345679 ,2(20)= 12.345679 , 7(20)= 12.345679, 8(20)= 12.345679

[x3,kl,f3]=linpro(f(3,:)',a,b',lb',ub')
[x30,kl,f30]=linpro(-f(3,:)',a,b',lb',ub')
f3 = - 1777.7778
f30=0
    x3 = 3= 3(3)=12.345679,4(3)= 12.345679 , 5(3)=24.691358 , 6(3)= 24.691358
30=30=1(30)=12.345679 ,2(30)= 12.345679 , 3(30)= 12.345679, 4(30)= 12.345679
:
[x4,kl,f4]=linpro(f(4,:)',a,b',lb',ub')
[x40,kl,f40]=linpro(-f(4,:)',a,b',lb',ub')
f4 = - 1777.7778
f40=0
x4 = 4= 1(4)=12.345679,2(4)= 12.345679 , 7(4)=24.691358 , 8(4)= 24.691358
40=40=1(40)=12.345679 ,2(40)= 12.345679 , 3(40)= 12.345679, 4(40)= 12.345679
:
[x5,kl,f5]=linpro(f(5,:)',a,b',lb',ub')
[x50,kl,f50]=linpro(-f(5,:)',a,b',lb',ub')
f5 =1000
f50=-2000
x5 = 5= 1(5)=12.345679,2(5)= 12.345679 , 3(5)=12.345679 , 4(5)= 12.345679
50=50=1(50)=24.691358 ,2(50)= 12.345679 , 3(50)= 12.345679, 4(50)= 12.345679
:
[x6,kl,f6]=linpro(f(6,:)',a,b',lb',ub')
[x60,kl,f60]=linpro(-f(6,:)',a,b',lb',ub')
f6 =1000
f60=-2000
x6 = 6= 1(6)=12.345679, 2(6)= 12.345679 , 3(6)=12.345679 , 4(6)= 12.345679
60=60=1(60)=12.345679 ,2(60)=24.691358 , 3(60)= 12.345679, 4(60)= 12.345679
:
[x7,kl,f7]=linpro(f(7,:)',a,b',lb',ub')
[x70,kl,f70]=linpro(-f(7,:)',a,b',lb',ub')
f7 =1000
f70=-2000
x7 = 7= 1(7)=12.345679, 2(7)= 12.345679 , 3(7)=12.345679 , 4(7)= 12.345679
70=70=1(70)=12.345679 ,2(70)=12.345679, 3(70)= 24.691358 , 4(70)= 12.345679
:
[x8,kl,f8]=linpro(f(8,:)',a,b',lb',ub')
[x80,kl,f80]=linpro(-f(8,:)',a,b',lb',ub')
f8 =1000
f80=-2000
x8 = 8= 1(8)=12.345679, 2(8)= 12.345679 , 3(8)=12.345679 , 4(8)= 12.345679
80=80=1(80)=12.345679, 2(80)=12.345679, 3(80)=12.345679, 4(80)= 24.691358

, , . . . , .
- , , .
2. .
:
F=[f(1,:)*x1 f(2,:)*x1 f(3,:)*x1 f(4,:)*x1 f(5,:)*x1 f(6,:)*x1 f(7,:)*x1 f(8,:)*x1;
f(1,:)*x2 f(2,:)*x2 f(3,:)*x2 f(4,:)*x2 f(5,:)*x2 f(6,:)*x2 f(7,:)*x2 f(8,:)*x2;
f(1,:)*x3 f(2,:)*x3 f(3,:)*x3 f(4,:)*x3 f(5,:)*x3 f(6,:)*x3 f(7,:)*x3 f(8,:)*x3;
f(1,:)*x4 f(2,:)*x4 f(3,:)*x4 f(4,:)*x4 f(5,:)*x4 f(6,:)*x4 f(7,:)*x4 f(8,:)*x4;
f(1,:)*x5 f(2,:)*x5 f(3,:)*x5 f(4,:)*x5 f(5,:)*x5 f(6,:)*x5 f(7,:)*x5 f(8,:)*x5;
f(1,:)*x6 f(2,:)*x6 f(3,:)*x6 f(4,:)*x6 f(5,:)*x6 f(6,:)*x6 f(7,:)*x6 f(8,:)*x6;
f(1,:)*x7 f(2,:)*x7 f(3,:)*x7 f(4,:)*x7 f(5,:)*x7 f(6,:)*x7 f(7,:)*x7 f(8,:)*x7;
f(1,:)*x8 f(2,:)*x8 f(3,:)*x8 f(4,:)*x8 f(5,:)*x8 f(6,:)*x8 f(7,:)*x8 f(8,:)*x8]

F =
- 1777.7778 - 888.88889 0. 0. 2000. 2000. 1000. 1000.
- 888.88889 - 1777.7778 0. 0. 1000. 1000. 2000. 2000.
- 8.674D-14 - 888.88889 - 1777.7778 0. 2000. 2000. 1000. 1000.
- 888.88889 - 3.965D-14 0. - 1777.7778 1000. 1000. 2000. 2000.
- 888.88889 - 888.88889 0. 0. 1000. 1000. 1000. 1000.
- 888.88889 - 888.88889 0. 0. 1000. 1000. 1000. 1000.
- 888.88889 - 888.88889 0. 0. 1000. 1000. 1000. 1000.
- 888.88889 - 888.88889 0. 0. 1000. 1000. 1000. 1000.

Scilab

L=[(-F(1,1)-f10)/d1 (-F(1,2)-f20)/d2 (F(1,3)+f30)/d3 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(3,1)-f10)/d1 (-F(3,2)-f20)/d2 (F(3,3)+f30)/d3 (F(3,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(4,1)-f10)/d1 (-F(4,2)-f20)/d2 (F(4,3)+f30)/d3 (F(4,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4]

:

L =

1. 0.5 0. 0. 0. 0. 0. 0.
0.5 1. 0. 0. 0. 0. 0. 0.
4.879D-17 0.5 - 1. 0. 0. 0. 0. 0.
0.5 2.231D-17 0. - 1. 0. 0. 0. 0.
0.5 1. 0. 0. 0. 0. 0. 0.
0.5 1. 0. 0. 0. 0. 0. 0.
0.5 1. 0. 0. 0. 0. 0. 0.
0.5 1. 0. 0. 0. 0. 0. 0.

d1=-f1-f10 d1 = 1777.7778
d2=-f2-f20 d2 = 1777.7778
d3= -f3-f30 d3 = 1777.7778
d4= -f4-f40 d4 = 1777.7778
d5= f5+f50 d5 = -1000
d6= f6+f60 d6 = -1000
d7= f7+f70 d7 = -1000
d8= f8+f80 d8 = -1000

, . , .

3. ? :
? Scilab :
;
;
b0;
.
linpro :
[x0,kl,L0]=linpro(Kr',a0,b0',lb0',ub0')


f0 = - 0,5

x0=0 = 1(1)=0,5, 2(1)=0, 3(1)=24.691358 , 4(1)=0, 5(1)=24.691358 , 6(1)=24.691358 , 7(1)=0, 8(1)= 24.691358.
?- , ?- ( ) .




f=[-36. -36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. -36. -36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 0. -36. -36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 0. 0. 0. -36. -36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0.;
0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0.;
0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0.;
0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81.]
a=[-81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0.;
81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0.;
0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0.;
0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0.;
0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0.;
0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0.;
0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81.;
0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81.;
45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 0. 0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
b=[-1000. 2000. -1000. 2000. -1000. 2000. -1000. 2000. 3000. 3000. 3000. 3000.]
Aeq=[];beq=[];
lb=[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
ub=[300. 300. 300. 300. 300. 300. 300. 300. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
//ub1=[150. 150. 150. 150. 60. 60. 60. 60. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
[x1,kl,f1]=linpro(f(1,:)',a,b',lb',ub')
[x10,kl,f10]=linpro(-f(1,:)',a,b',lb',ub')
[x2,kl,f2]=linpro(f(2,:)',a,b',lb',ub')
[x20,kl,f20]=linpro(-f(2,:)',a,b',lb',ub')
[x3,kl,f3]=linpro(f(3,:)',a,b',lb',ub')
[x30,kl,f30]=linpro(-f(3,:)',a,b',lb',ub')
[x4,kl,f4]=linpro(f(4,:)',a,b',lb',ub')
[x40,kl,f40]=linpro(-f(4,:)',a,b',lb',ub')
[x5,kl,f5]=linpro(f(5,:)',a,b',lb',ub')
[x50,kl,f50]=linpro(-f(5,:)',a,b',lb',ub')
[x6,kl,f6]=linpro(f(6,:)',a,b',lb',ub')
[x60,kl,f60]=linpro(-f(6,:)',a,b',lb',ub')
[x7,kl,f7]=linpro(f(7,:)',a,b',lb',ub')
[x70,kl,f70]=linpro(-f(7,:)',a,b',lb',ub')
[x8,kl,f8]=linpro(f(8,:)',a,b',lb',ub')
[x80,kl,f80]=linpro(-f(8,:)',a,b',lb',ub')

F=[f(1,:)*x1 f(2,:)*x1 f(3,:)*x1 f(4,:)*x1 f(5,:)*x1 f(6,:)*x1 f(7,:)*x1 f(8,:)*x1;
f(1,:)*x2 f(2,:)*x2 f(3,:)*x2 f(4,:)*x2 f(5,:)*x2 f(6,:)*x2 f(7,:)*x2 f(8,:)*x2;
f(1,:)*x3 f(2,:)*x3 f(3,:)*x3 f(4,:)*x3 f(5,:)*x3 f(6,:)*x3 f(7,:)*x3 f(8,:)*x3;
f(1,:)*x4 f(2,:)*x4 f(3,:)*x4 f(4,:)*x4 f(5,:)*x4 f(6,:)*x4 f(7,:)*x4 f(8,:)*x4;
f(1,:)*x5 f(2,:)*x5 f(3,:)*x5 f(4,:)*x5 f(5,:)*x5 f(6,:)*x5 f(7,:)*x5 f(8,:)*x5;
f(1,:)*x6 f(2,:)*x6 f(3,:)*x6 f(4,:)*x6 f(5,:)*x6 f(6,:)*x6 f(7,:)*x6 f(8,:)*x6;
f(1,:)*x7 f(2,:)*x7 f(3,:)*x7 f(4,:)*x7 f(5,:)*x7 f(6,:)*x7 f(7,:)*x7 f(8,:)*x7;
f(1,:)*x8 f(2,:)*x8 f(3,:)*x8 f(4,:)*x8 f(5,:)*x8 f(6,:)*x8 f(7,:)*x8 f(8,:)*x8]
d1=-f1-f10
d2=-f2-f20
d3= -f3-f30
d4= -f4-f40
d5= f5+f50
d6= f6+f60
d7= f7+f70
d8= f8+f80
L=[(-F(1,1)-f10)/d1 (-F(1,2)-f20)/d2 (F(1,3)+f30)/d3 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(3,1)-f10)/d1 (-F(3,2)-f20)/d2 (F(3,3)+f30)/d3 (F(3,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(4,1)-f10)/d1 (-F(4,2)-f20)/d2 (F(4,3)+f30)/d3 (F(4,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4;
(-F(2,1)-f10)/d1 (-F(2,2)-f20)/d2 (F(2,3)+f30)/d3 (F(2,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4 (F(1,4)+f40)/d4]
Kr=[-1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
a0=[1. -36/d1 -36/d1 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
1. 0. 0. -36/d2 -36/d2 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
1. 0. 0. 0. 0. -36/d3 -36/d3 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
1. 0. 0. 0. 0. 0. 0. -36/d4 -36/d4 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
1. 81/d5 0. 0. 0. 81/d5 0. 0. 0. 81/d5 0. 0. 0. 81/d5 0. 0. 0. 81/d5 0. 0. 0. 81/d5 0. 0. 0. 81/d5 0. 0. 0. 81/d5 0. 0. 0;
1. 0. 81/d6 0. 0. 0. 81/d6 0. 0. 0. 81/d6 0. 0. 0. 81/d6 0. 0. 0. 81/d6 0. 0. 0. 81/d6 0. 0. 0. 81/d6 0. 0. 0. 81/d6 0. 0;
1. 0. 0. 81/d7 0. 0. 0. 81/d7 0. 0. 0. 81/d7 0. 0. 0. 81/d7 0. 0. 0. 81/d7 0. 0. 0. 81/d7 0. 0. 0. 81/d7 0. 0. 0. 81/d7 0;
1. 0. 0. 0. 81/d8 0. 0. 0. 81/d8 0. 0. 0. 81/d8 0. 0. 0. 81/d8 0. 0. 0. 81/d8 0. 0. 0. 81/d8 0. 0. 0. 81/d8 0. 0. 0. 81/d8;
0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0;
0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0;
0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0;
0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0;
0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0;
0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0;
0. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81. 0. 0. 0. -81;
0. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81;
0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 0. 0. 0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
b0=[-f10/d1 -f20/d2 -f30/d3 -f40/d4 f50/d5 f60/d6 f70/d7 f80/d8 -1000. 2000. -1000. 2000. -1000. 2000. -1000. 2000. 3000. 3000. 3000. 3000.]
lb0=[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.];
ub0=[1. 300. 300. 300. 300. 300. 300. 300. 300. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
[x0,kl,L0]=linpro(Kr',a0,b0',lb0',ub0')
F0=[0. -36. -36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. -36. -36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 0. 0. -36. -36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 0. 0. 0. 0. 0. 0. -36. -36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.;
0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0;
0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0;
0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0;
0. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81]
f1x0=f0(1,:)*x0
f2x0=f0(2,:)*x0
f3x0=f0(3,:)*x0
f4x0=f0(4,:)*x0
f1x0=f0(5,:)*x0
f1x0=f0(6,:)*x0
f1x0=f0(7,:)*x0
f1x0=f0(8,:)*x0
L1x0=(-f1x0-f10)/d1
L2x0=(-f2x0-f20)/d2
L3x0=( f3x0+f30)/d3
L4x0=( f4x0+f40)/d4
L5x0=(-f5x0-f50)/d5
L6x0=(-f6x0-f60)/d6
L7x0=(-f7x0-f70)/d7
L8x0=(-f8x0-f80)/d8



f =


column 1 to 21

- 36. - 36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. - 36. - 36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. - 36. - 36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 0. 0. - 36. - 36. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81.
0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0.
0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0.
0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0.

column 22 to 32

0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0.
81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0.
0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0.
0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81.
a =


column 1 to 21

- 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81.
81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81.
0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0.
0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0.
0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0.
0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0.
0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0.
0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0.
45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 0. 0. 45. 45. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.

column 22 to 32

0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0.
0. 0. 0. 81. 0. 0. 0. 81. 0. 0. 0.
- 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0. 0.
81. 0. 0. 0. 81. 0. 0. 0. 81. 0. 0.
0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81. 0.
0. 81. 0. 0. 0. 81. 0. 0. 0. 81. 0.
0. 0. - 81. 0. 0. 0. - 81. 0. 0. 0. - 81.
0. 0. 81. 0. 0. 0. 81. 0. 0. 0. 81.
0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
b =

- 1000. 2000. - 1000. 2000. - 1000. 2000. - 1000. 2000. 3000. 3000. 3000. 3000.
lb =


column 1 to 25

0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.

column 26 to 32

0. 0. 0. 0. 0. 0. 0.
ub =


column 1 to 22

300. 300. 300. 300. 300. 300. 300. 300. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.

column 23 to 32

0. 0. 0. 0. 0. 0. 0. 0. 0. 0.

f1 =

- 1777.7778
kl =

0.
0.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
0.
0.4444444
0.
0.4444444
0.
0.
0.
0.
0.
0.
0.
0.
x1 =

24.691358
24.691358
12.345679
12.345679
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
f10 =

0.
kl =

- 36.
- 36.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
x10 =

0.
0.
12.345679
12.345679
12.345679
12.345679
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
f2 =

- 1777.7778
kl =

0.
0.
0.
0.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
- 36.
- 36.
0.
0.
0.
0.
0.
0.4444444
0.
0.4444444
0.
0.
0.
0.
x2 =

12.345679
12.345679
24.691358
24.691358
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
f20 =

0.
kl =

0.
0.
- 36.
- 36.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
..................



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