, . , , , , , (. ) , , , , , , . .
, , . , , .
, ( ) , .
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(8.1) , ( ).
() .
,
xj ≥ 0, j=1, 2, , n (8.2)
gi(X) ≤ 0, i=1, 2, , m (8.3)
F=f(x1, x2, , xn). f, g1, g2, , gm, n- X , .
, (8.2) (8.3), , .
.
F , l.
1. F(X) l 0 . (8.4)
l l = (l1, l2, , ln).
F l
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(8.5)
li l i;
|l| - l, .. .
l , ( ).
2. F(X) , , ..
=
, max , l . (8.5) F
, , .
:
1. F(X) , F(X) .
2. () , , .
3. , ( ).
4. () (.. , ). () ().
5. F(X) ,
(8.6)
Δxi, Δxj, .