Amaliy mashgulot

Sana01.01.1970
Hajmi
#230175
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Amaliy mashgulot


Mustаqil yеchish uchun mаsаlаlаr
1. Quyidagi chiziqli programmalashtirish masalalarini normal (kanonik) ko’rinishda ifodalang:



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11. Zmin=-x1-2x2+x3
-x1+4x2-2x3≤6
X1+4x2+2x3≥6
2x1-x2+2x3=4
xj ≥0, j=1,3

13. Zmin=-x1+3x2+2x3


x1+x2+2x3≥-5
2x1-3x2+x3≤3
2x1-5x2+6x3≤5
xj ≥0, j=1,3

15. Zmin=x1+5x2+4x3-6x4


2x1+3x2-4x3-5x4≤1
5x1-6x2+x3-x4≤3
4x1+x2-2x3+3x4≤2
xj ≥0, j=1,4

12. Zmax=x1-2x2+3x3-10x4


x1+x2+2x3-6x4=1
x1+x2+4x3-8x4=1
4x1+2x2+x3-4x4=3
xj ≥0, j=1,4

14. Zmax=x1-x2+x3+x4+2x5-x6


x1+x4+x6=9
3x1+x2-4x3+2x6=2
X1+2x3+x5+2x6=6
xj ≥0, j=1,6

2.Quyidаgi bеrilgаn mаsаlаlаrning hаr birini kаnоnik ko‘rinishgа kеltiring, hаmdа uni vеktоr vа mаtritsа fоrmаlаridа ifоdаlаng.



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6. Zmax=2x1+x2+6x3-12x4-9x5

x1+x2+7x3-3x4-7x5=13
x1+2x2+13x3+2x4-14x5=20
x1+3x2+20x3+6x4-24x5=19
xj ≥0, j=1,5
7. Zmin=x1-x2-3x3

2x1-x2+x3≤1
4x1-2x2+x3≥-2
3x1+x3≤5
xj ≥0, j=1,5

8. Zmax=5x1+3x2+4x3-x4
x1+3x2+2x3+2x4=3
2x1+2x2+x3+x4=3
xj ≥0, j=1,3
9. Zmin=3x1+4x2+x3+2x4-x5
x1+2x2-3x3+x4-5x5=5
2x1+3x2-5x3+2x4-7x5=8
3x1+x2-2x3+6x4+2x5=6
xj ≥0, j=1,6
10 Zmax=2x1-x2+4x3+x4
x1-x2+2x3=2
x1+x2+3x3=16
x1+x2+x3+x4=12
xj≥0, j=1,

11 Zmin=5x1-3x2+5x3+x4 12 Zmax=5x1+4x2+3x3-x4 X1+3x2+x3+2x4=3 x1+x2-x3+x4-3x5=5 2x1+3x2+x3+x4=3 2x1+x2+x5=7
xj≥0, j=1,4 xj≥0, j=1,5

13. Zmax=3x1-x2+3x3-8x4 14 Zmin=5x1+3x2-3x3+6x4


2x1+x2+3x3+4x4=3 x1+3x2+4x3+4x4=2
5x1+x2+x3+x4=3 5x1+4x2+x3+x4=2
xj≥0, j=1,4 xj≥0, j=1,4
15. Zmin=x1-3x2+3x3-9x4
X1+x2+2x3-5x4=5
X1+x2+4x3-7x4=2
3x1+x2+x3-3x4=3
xj≥0, j=1,4

16. Quyidagi tengsiliklar sistemalarining yechimlaridan iborat sohani geometrik tasvirlang.



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11. 4x1+3x2Ј12 12. x1+2x2Ј6


3x1+4x2Ј12 2x1+x2Ј6
x1і0; x2і0 x1і0; x2і0
Z= 2x1-5x2 =>max Z= -x1+x2 =>max
17. Quyidagi chiziqli programmalashtirish masalalarini grafik usulda yeching:



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