: = @ , @ ! %! . M % -% ! .
6.1. " ( = 2).
: ' , @ % 5 ! , ' ! =-, . # -- ! ,
— bi |
i |
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, ( ! . 6.2). |
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1,5 |
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6$ 6.2 |
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* ! , |
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1 |
2 |
3 |
4 |
5 |
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# |
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10 |
7 |
5 |
15 |
14 |
, |
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# |
- |
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8 |
6 |
9 |
11 |
13 |
, bi |
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A ! ! 3 :
a3 5 min {10, 7, 5, 15, 14, 8, 6, 9, 11, 13}.
# ! 3 =.
& = % ! 2 :
b2 6 min {10, 7, 15, 14, 8, 6, 11, 13}.
# ! 2 ! =.
" ! 1, 4, 5. (-% :
m n {10, 15, 14, 8, 6, 11, 13} = 8 = b1
— ! 1 =;
m n {15, 14, 11, 13} = 11 = b4
— ! 4 % ! = 1.
# , = = ! % : {3, 5, 4, 1, 2}. " % -! = 59 . ) < !. 6.3.
1 |
5 |
14 |
19 |
32 |
34 |
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45 |
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53 |
59 |
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b3 = 9 |
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b5 = 13 |
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b4 |
= 11 |
b1 |
= 8 |
b2 = 6 |
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5 |
19 |
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34 |
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44 |
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51 |
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2 |
3 = 5 |
5 = 14 |
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4 = 15 |
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1 |
= 10 |
2 |
= 7 |
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10 |
20 |
30 |
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40 |
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50 |
60 |
? |
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* . 6.3. |
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A , < ! {1, 2, 3, 4, 5,},! . 6.2, 59, 64 . # ,! %.
6.3. '3'*# #&@!"!<! $6' 9"' % &' 9$,'"6# %
( (;) - % = ( , ), - ! ( « ! » (;% « ») % ! =. > !’% , ' -@ % .
> (; % , !(1956—1958 .):
(Critical Path Scheduling, CPS),!! ;
= (Program Evolution and Review Technique, PERT), ! ! =- !«( ».
( = = ' ! , @ CPS -- ! , PERT — , - .
172
(; = % :
= ;
;
.
A = =% !. : = < %= % -! , ! -! ! . ; ! ' ! % , ! !-! % ! .% ! ;! ! -! [18].
A - % ! < . &% <' ! . A < = : , , ' ' ! . ; - ! = '' ! , ' = ! -. * % '< .
A < = ! = -. ; ! = -
= |
- |
! , @ |
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6.4. #&@!"' 0!3+6@ &' #&@!"(7 <,'K#/ |
& — ! '
% ’ ' ! -. ! = $ . = $ # . : < -
= , ’ . & < = ! . : ' % , @ ! , = , ' , ' !-! , = % . J -
! = -
. K ! ! - , = , @ ! , @ -( ) ' , ' !( ).
W $ + :
1)' ! ! %= - %= =;
2)! ! - , ! ;
3)' ' ’% ;
4) ! , % — ,' ;
5) ! , % — ,' ;
6) < (— , %% ).
% — , @ !' ! @ =. > ' ', @ ! -' ! = ( !% ! ' , ! ’ ).
A @ ! [4].
:
1. O $ $ "
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( . 6.4) |
B %, @ |
=% ! . |
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! 1 |
M |
: |
! 2
* . 6.4.
; < - ! ( . 6.5).
* . 6.5.
K ! % , = , @ ’ ! . #-% , ! 3 4 -! = 2, ! 1 ! ’ -! 4 ( . 6.6).
* . 6.6.
" ( . 6.6) , @ ! 3 4 '! ! 1 2.
! 3
! 2
k
! 4
* . 6.7.
" ( . 6.7) , @ ! 3 ' ! 1, ! 4 — ! 2.
175
* ! — , ! ' -, = ! .
" % ! < ,% ! . A -! =, @ !. B %, @ -' i j : i < j.
5 # :
) 1. ( 1.
) 2. ( , ' .
) 2 = , !-. ) ' % ( ! ) .
6.2. A % ! ,! . 6.3 ! !! .
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6 $ 6.3 |
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* ! |
* ! , |
! |
# , |
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= |
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*-1 |
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— |
20 |
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*-2 |
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12 |
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*-3 |
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— |
27 |
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*-4 |
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*-1, *-2 |
7 |
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*-5 |
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*-2, *-3 |
14 |
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*-6 |
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*-4 |
13 |
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*-7 |
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*-5, *-6 |
15 |
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*-8 |
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*-5 |
11 |
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( ! % . A , ! . " % ' , = !-*-1, *-2 *-3, ' % ' - ! . ; , -
' ! . # <, . 6.10.
*-1 *-2
*-3
* . 6.10.
: % , @ ! *-4 ' ! *-1 *-2, ! *-5 — ! *-2 *-3. # ! ' ! *-4 *-5 -< ! K-1 K-2. ? <. 6.11.
* ! *-6 ' ! *-4. # , *-6, ' =, % = *-4. * ! *-7 %*-5 *-6, ! *-8 —*-5. # ! ' *-7 - ! < ! K-3. * ! *-7 *-8 - = ' ! . ' , ' !’% , @ ! . (- = < ! -6.12.
*-4
*-1
K-1
*-2
K-2
*-3
*-5
* . 6.11.
*-4 |
*-6 |
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*-1 |
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*-7 |
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K-1 |
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K-3 |
*-2 |
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K-2 |
*-8 |
*-3 |
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*-5
* . 6.12.
& < , . 6.12, . 6.13. B11 8 .
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*-4 |
5 |
*-6 |
7 |
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3 |
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*-1 |
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*-7 |
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K-1 |
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K-3 |
8 |
1 |
*-2 |
2 |
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K-2 |
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*-3 |
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*-8 |
4*-5 
6
* . 6.13.
U ! < , !! ( ! . 6.3), - < ( . 6.14) ! ! = =( ! . 6.4).
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7 |
5 |
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15 |
1 |
0 |
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8 |
12 |
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0 |
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27 |
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11 |
414 
6
* . 6.14.
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6$ 6.4 |
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&* |
* ! |
# , |
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(1, 2) |
*-2 |
12 |
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(1, 3) |
*-1 |
20 |
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(1, 4) |
*-3 |
27 |
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(2, 3) |
< |
0 |
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(2, 4) |
< |
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(3, 5) |
*-4 |
7 |
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(4, 6) |
*-5 |
14 |
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(5, 7) |
*-6 |
13 |
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(6, 7) |
< |
0 |
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(6, 8) |
*-8 |
11 |
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(7, 8) |
*-7 |
15 |
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( ! < ! ! =- = , ! -! .
6.5. ' !"# 2','/&+,( &(/( $!3#7, &,("'6# &@ "(/! ' % /!0$6+/ 9 ,!:#&
? — <-
! ! , @ ! == = =. * -
! == |
< : |
E 1 0, E j max *E 1 t i, j +, j 2, 3, . n , |
(6.7) |
î: i, j U |
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— < ; |
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U — ' ; |
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i, j U — , |
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j- < ;
* ( : i j < , i - % j, ' (i, j).
