i(t)<yi- i(t)>i+, i=1, 2,,n, "t
yi-, yi+ .
, yi-, yi+, i=1, 2,,n n (. 3.2).
"" "" . , tj (" ") tj ( ). : {tj, j=1, 2,..,tN }, {tj, j=1, 2,..,tN }. {tj, j=1, 2,..,tN }.
:
(t), f(t), l(t), tH, P(th), Q(t), m(t), t, , .
tj - .
: . , . , ( "" ).
, , .
, , .
:
(.3.2). "" .
. 3.2
( 3.3) :
, , , , , . , - ( ). , .
3.3
- ( , , 0, 1 ) : , , S (. 3.4).
. 3.4
"" " " , - - "-". .
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( 3.5). , , . . ("") . , "", "" .
3.5 3
- (. 3.6):
. 3.6 - :
1, 2 ; , ; ; ; ; ; ; ; ; 1, 2
"" 1 2 , .
( ) "" ( ) .
, , , .
, "" ÿ , , . , , , ( 3.7), , , , S - .
3.7 ()
( ) . . , , - , , , l, t .. (. 3.8)
. 3.8
- , . :
"" i- , .
.
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. 3.9 , , :
- l1 l2 (. 3.9 );
- l1 l2 l3 (. 3.9 );
- l1 l2 l3 l4 (. 3.9 ).
. 3.9
, . , ,
,
, ; 0, 1, 2 ; (. 3.10)
. 3.10
: ; ; ; S- , 0, 1, 2 , , .
- . 3.11 , , , S, .
3.11 -
, "" - -, -, - "" .
:
1) "" "".
2) ( ) , ( ).
3) , / ( ).
4) ( "" / ) ; .
5) , ( ) "", . "" , "" .
6) ("") .
, . () .
m i(t), fi(t), li(t), tHi, i=1, 2,, m (. 3.12)
. 3.12 - m
(t), f(t), l(t) tH i(t), fi(t), li(t), i=1, 2,, m. .
>t , i- i, i=1, 2,, m. , 1 2 3 m, .. i, i=1, 2,, m. i, i=1, 2,, m.
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,
l(t)
Pi(t)=exp{-lit}, i=1, 2,, m
l1=l2==lm=l
(t)=e-mlt, fc(t)=mle-mlt, Qc(t)=1-e-mlt
t .
, m, t m
: !
:
- m (, );
- (, (t) i(t) );
- li(t) li, i=1, 2,, m.
, . , . 3.13 , , , 1 2, , , , , ; (t)
(t)= , i=, , 1, 2, , , , , .
. 3.13
t , t .
"" . :
(""),
(""),
("").
. , , .. "" .
1, 2, 3 (. 3.14).
. 3.14
, . - .
() (. 3.15).
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. 3.15
: 1, 2, 1, 2, i, i=1,..,4, "" ( . 3.15 ).
, 1, 2. .
- 1, 2, (. 3.16). : 1, 2 ; 1, 2 ; ; 1, 2 ; , , () .
. 3.16 -
"" (. 3.17).
. 3.17 :
( 3.14),
(. 3.15),
- (. 3.16)
. 3.17- 1, 2 i, i=1-4. . 3.17-: 1, 2 1, 2
1=1×1×1×; 2=2×2×2×
(. 3.18).
. 3.18
m
:
m , , =1, 2, , m.
m , m-+1 , =1, 2, , m.
=1, , . m-1+1=m , .. .
=m . m-m+1=1 . , , Pi , .
"" =m-1, m-1 , m-m+1+1=2 .
, ( l(t) tg g). "" .
, tj, "" (.. ). tj. ( ) : tj, tj+t, t³0 . . 3.19.
. 3.19
- [tj, tj+t] t . - t , .
"" 1, 2, ( -), 1, 2 (. 3.20). 1 , ( ) ( ), 1 2.
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. 3.20
(. 3.21):
. 3.21
1, 2 , .
, "" :
- ( : , - );
- ;
- ( );
- ;
- .
, , .
"" , tj, , ("") tj+t . "" "" (" ").
t . "" ( ). .
: t, , , .
, :
. 3.
3
3 | 3 | 3 | 3 3 |
3 | |||
, "" ( ); ( ) .
m Qi(t), Pi(t), li(t), tHi, i=1, 2,, m. , , m . . 3.22.
. 3.22 m
Q(t), P(t), tH Qi(t), Pi(t), tHi, i=1, 2,, m.
:
;
i i- , i=1, 2,, m. i , - Qi(t).
.
1 2 3 m
.. i.
t0 :
(t0) d
d£0,5m×(l×t0)m+1
m
m tH
tH, tH=1/l, , m tHc. m (. 4.)
4
m
1,5 | 1,83 | 2,08 | 2,28 | 2,44 | 2,59 | ||
- | 50,0 | 22,0 | 13,7 | 9,66 | 7,05 | 6,15 | |
: tHc/tH ;
- tHc
, m=2, 3,
(m) , , (m) m .
m=1 tHc=tH. (m=2) 1,5 , ( - 50%). (m=3) tHc 1,83 ( tH ), 22%.
4- (m=5) tHc 2,28 , 9,5%, .. "" tHc/tH.
, . 3.23.
. 3.23 , m
. 3.23 , m . , , , (m=2 3). m k, k=2,, m-1 , .