080802 (2205)
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. . , 2011; , - .
080802 (2205) ( ).
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432067, . , , 13
(8-422) 20-15-72,20-15-85
: 54-54-63
E-mail: [email protected]
.. , 2011.
, 2011.
1 .................................................................... 5
2 -.................................................. 8
3 ................................................................. 11
4 .................................................... 14
5 .................................................................. 17
6-7 ............................................................................... 33
8 ............................................ 31
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2
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1. F=5x1+2x2+6x3 max
x1+x2+x3<=6
2x1-x2+3x3<=9
3x1+x2+2x3>=1
2. F=7x1+13x2+8x3 max
x1+2x2<=3
x1+x3<=4
x1+3x2+2x3<=2
x1+x2<=5
3. F=x1+2x2+5x3+6x4 min
2x1+x2-x3+5x4>=5
3x1-2x2+x3-11x4>=4
4. F=x1+x2+x3 max
2x1+x2+x3<=2
4x1+2x2+x3<=2
5. F=27x1+10x2+15x3+28x4 max
3x1+2x2+x3+2x4<=2
3x1+x2+2x3+4x4<=5
6. F=6x1+8x2+x3 max
x1+x2+x3<=3
x1+2x2<=4
7. F=27x1+10x2+15x3 max
-2x1-3x2-2x3<=12
4x1-4x2-3x3<=4
5x1+5x2+3x3<=15
8. F=6x1+8x2+x3 max
x1+3x3-x4<=5
x2+2x3+x4<=7
x1+x2+x4<=3
9. F=2x1+6x2 min
x1+3x2-x3>=6
x2+3x3>=4
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x1+x2+x3>=1
10. F=x1+4x4 max
x2+x3<=4
x1-x2+x3+x4<=3
x1-x2+2x3>=5
11. F=-x1+x2-x3 min
x1+2x2-x3<=5
2x2+x4<=3
x3+2x4<=6
12. F=3x1+2x2-6x3 max
x1-x2+x3<=1
3x1-2x2+2x3<=4
x1+3x2-4x3<=5
13. F=x1-x2+3x3+x4 min
x1-x2+2x3+3x4<=7
x1+2x2-x3+x4<=5
14. F=-2x1-x2-x3+x4 max
x1-2x2+x3+3x4<=4
-x1-x2+3x3+2x4<=10
15. F=4x1-2x2+x3-x4 max
x1+x2+4x3+2x4=2
x1+2x2-x3+3x4=3
16. F=x1+2x2+x3-x5-6 min
-x1+5x2+x3+x4+5=10
2x1-x2+x3-3x4=6
10x2+x3+2x4+3x5=24
17. F=-4x1+2x2-3x4-x5 max
3x1+x2+x3-x4=2
4x1-x2+x4+x5=21
4x1-x2+x5=15
18. F=4x1-x2-9x3+x4 max
x1+x2-2x3+2x4=2
x1+2x2-x3+3x4=3
19. F=x1-x2 max
4x1-3x2-x3+x4+x5=6
x1+4x2+x3+x5=15
2x1-4x2-x3+x4=-3
20. F=x1-x2+x3-x4 max
x1-2x2-x3+3x4=4
x2+2x3+x4=1
x1+4x3+x4=6
21. F=3x2+x3+2x4 max
3x1+x2+x3-x4=5
3x1-x2+2x3+4x4=1
22. F=x1-4x2+2x3-3x4+x5 min
x1+x2+x3+x4+x5=2
x1-x2+x4=1
x1-9x2+x3=5
23. F=x1+x2-15x3+x4 max
x1+x2+x3=4
3x2+2x3-x4+x5=6
x1-x2-6x3+x4=12
24. F=x1-x2+2x3 min
x1+x2+2x3+x5=3
x1-x2-4x3+x4=0
x1+x2-x3=2
25. F=x1-2x2+5x3 max
2x1+2x2+4x3<=18
2x1+x2-3x3<=20
5x1-3x2+6x3>=19
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14. 15.
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2. max
3. max
4. max
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6-7
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1. , . , , , .
2. A , B . 0,5, 0,6 0,8, 0,9, 0,7 0,8, 0,7, 0,5 0,6. A , B . ?
3. A B , . ( ) , . . , , , . 0,3, 0,51. , 0,8. A , B .
4. A , B . , . . , , . , . . A , B .
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5. 4. , 4, A , B .
6. A , B . , B . , , , , , 0,4 , 0,6 . , .
7. A A1, A2 A3, B B1, B2 B3. A
B A | B1 | B2 | B2 |
A1 | 0,8 | 0,2 | 0,4 |
A2 | 0,4 | 0,5 | 0,6 |
A3 | 0,1 | 0,7 | 0,3 |
A , B .
8. 1 5, . , ( 0 ), 1, , , 2 , 1 , .
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