ВТ прог2лаба / ПРИЛОЖЕНИЕ 1-Формулы

J 1

J 1

J 1

3.

I (J ) uitJ

ui min{tJ , max(ai Fi ,0)}

uJ ti

uJ max(aJ

F'J ,0)

i I

i I

i I

(4)

(1)

(2)

(3)

ВАРИАНТ 3

n

1

1.

y0

d j x j

j 1

2.

F3*(z) min C(x3) h j3 F4*( j3)

x3 u

3.

a xB t

2 Ф t

P xB t

B

B

n

n

2.

Fk*(z) min C(xk ) h jk Fk* 1( jk )

xk u

n

xi2

x 2 8,68

3.

x

i 1

n

2.

F3*(z) min C(x3) h j3

F4*( j3)

x3 u

3.

r

rx1x2 ryx1 ryx2

x x ,y

1

2

(1 ryx2

)(1 ryx2

)

1

2

ВАРИАНТ 6

a

n

b

n

3

c

n

n

x

4

x

x

2

x2 y

i

i 1

i

i 1

i

i 1

i

i 1

i

1.

n

3

n

2

c

n

n

yi

a

xi

b xi

xi

xi

i 1

i 1

i 1

i 1

n

2

n

n

a

xi

b xi

cn yi

i 1

i 1

i 1

2.

F

2x1 3x2

4x3 5x4 x5 8x6 max

x

x

2

x

x

4

x

x

6

1

3

5

3.

r

rx x

2

ryx

ryx

2

, y

1

1

x x

2

1

(1 ryx2

)(1

ryx2

)

1

2

3.

M F t€

n

n i 1

(n 1)t€

n i 1

2

n

t) x j max

1.

F (c j c j

j 1

2.

(b,1) (b,2)

... (b,i) (b,i 1) ...

(b, n )

b

b'

b"

t11

t12

...

t1n

t22

3.

t21

...

t2n

t32

...

t31

t3n

t42

...

t41

t4n

-------------------------------------------------------------------------------------------------------

ВАРИАНТ 9

J 1

1.

I (J ) ui[tJ max(Fi ai , tJ ) max(Fi ai ,0)] +

i I

J 1

J 1

2.

ui[ ti max FJ

aJ , ti

max(FJ aJ ,0)] =

i I

i I

J 1

J 1

uitJ ui[max(Fi ai ,tJ ) max(Fi ai ,0)](1)(*)

i 1

i I

J 1

J

1

uJ ti uJ [max FJ aJ , ti max(FJ aJ ,0)](2)(**)

i I

i I

3.

f x1, x2 , x3 x1x2 x3 x1x2 x3 x1x2 x3

ВАРИАНТ 10

x x 1;

x x x ;

x 1 1;

x

0 x ;

1.

0

x 1 ;

1 x x;

x1 x2 x2 x1 ;

x

x

2

x

x .

1

1

1

r

2.

v

log2 n 1 ,n 2 ,

n 2r ,

r,

m

n j

n j k 1 t j[i]

3.

F j 1k 1

n

-------------------------------------------------------------------------------------------------------

ВАРИАНТ 11

1 x1 x2 x3 x4;

1.

2 x1 x2 x3 x4;

3 x1 x2 x3 x4;

4 x1 x2 x3 x4.

m

n j

h j

n j k 1 t j[k]

2.

F j 1

k 1

n

3.

Fk*(z) min C(xk ) h jk Fk* 1( jk )

xk u

1.

F c1x1

c2x2

max

d x

d

2

x

2

1 1

3.

r

rx x

2

ryx

ryx

2

, y

1

1

x x

2

1

(1 ryx2 )(1

ryx2 )

1

2

n

n

1

n

xij

yi

j 1,m .

2.

x y

xij yi ,

x j i 1

,

y i 1

n i 1

n

n

3.

f x1, x2 , x3 x1x2 x3 x1x2 x3 x1x2 x3

ВАРИАНТ 20

n

n

3

n

n

a x4 b x

c x2

x2 y

i

i 1

i

i 1

i

i 1

i

i 1

i

1.

n

3

n

2

c

n

n

yi

a xi

b xi

xi

xi

i 1

i 1

i 1

i 1

a xi2 b xi

cn yi

n

n

n

i 1

i 1

i 1

n

c j t) x j

2.

F

(c j

max

j 1

log2 n 1 ,n 2

r

,

3.

v

n 2r ,

r,

ВАРИАНТ 21

x x 1;

x x x ;

x 1 1;

x

0 x ;

1.

0

x 1 ;

1 x x;

x1 x2 x2 x1 ;

x

x

x

x .

1

2

1

1

2.

Fk*(z) min C(xk ) h jk Fk* 1( jk )

xk u

k ni

k

k ni

Fij

n F'

hij

3.

F i 1 j 1

i 1 i

i

i 1 j 1

n

n

n

-------------------------------------------------------------------------------------------

ВАРИАНТ 22

1 x1 x2 x3 x4;

1.

2 x1 x2 x3 x4;

3 x1 x2 x3 x4;

4 x1 x2 x3 x4.

2.

f (x1, x2 , x3) [(x1

~ x3) (x1

x2 )](x1 x2 ) x3

Fj[i] t j[1]; Fj[2] t j[2],..., Fj[k]

k

3.

t j[i]

i 1

J 1

J 1

J 1

1.

I (J ) uitJ

ui min{tJ , max(ai Fi ,0)}

uJ ti

uJ max(aJ

F'J ,0)

i I

i I

i I

(4)

(1)

(2)

(3)

3.

M F t€ n i 1 (n 1)t€

n

n i 1

2

1.

2

x3

(x1x2 ) x3(x1x2 x1x2 )

f21

f22

2.

r

rx1x2 ryx1 ryx2

x x ,y

1

2

(1 ryx2

)(1 ryx2

)

1

2

n

n

3

n

n

a x4 b x

c x2

x2 y

i

i 1

i

i 1

i

i 1

i

i 1

i

3.

n

3

n

2

n

n

yi

a xi

b xi

c xi

xi

i 1

i 1

i 1

i 1

a xi2 b

xi cn yi

n

n

n

i 1

i 1

i 1

n

xi2

x 2 8,68

1.

x

i 1

n

log2 n 1 ,n 2

r

,

2.

v

n 2r ,

r,