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080802 (2205)

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..

. . , 2011; , - .

 

080802 (2205) ( ).

 

һ.

( )

 

-

 

:

..
.. - ,

 

:

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

 


1

(2 )

 

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

13.

14.

15.

 

 


2

(2 )

 


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

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


 


3

(2 )

 

 

 

 

 

 

 

 


4

(2 )

 

1. 2. 3.

4. 5.

6. 7.

8. 9.

10. 11.

12. 13.

14. 15.


5

(2 )

1. max

2. max

3. max

4. max

5.

6.

7.

8.

9.

10.

11.

12.

13.

 


6-7

(6 )

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 .

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 , .


8

(4 )



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