, . , . , , , .
, 5.1.
Cij, , , , Ri Jj. Cij .
, , , , . ( ) , ( ). . , , , .
( ), ij I, Ji, ijCij, .
, , , , (bi), (aj) (Ci,j) .
Σbi (i = 1m) Σaj (i =1n), () . Σaj ≠ Σbi, (). , . , . , . , .
5.1.
. , , 1, 2,, . N ; B1, B2, , BN . , , :
( ): Cij, i =1, , M, j =1, , N.
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(, ), , .
, .. .
:
5.1. (1, 2, 3, 4) (1, 2, 3). 1 40 , 2 50 , 3 60 , 4 30 . 1 60 , 2 80 , 3 40 . ( . .), , . 5.2.
5.2
1 | 2 | 3 | |
1 | |||
2 | |||
3 | |||
4 |
, , .
. Xij, i =1,,4, j=1,,3, , i- j- .
180 ; 180 . . , , :
x11 + x12 + x13 = 40
x21 + x22 + x23 = 50
x31 + x32+ x33 = 60
x41 + x42 + x43= 30.
, . , , :
x11 + x21 + x31+ x41= 60
x12 + x22+ x32 + x42= 80
x13 + x23 + x33 + x43= 40.
, :
x ij³0, i =1,,4, j=1,,3.
:
= 4x11 + 3x12+ 5x13 + 6x21 + 2x22 + 1x23 + 10x31 + 4x32+ 7x33 + 8x41 + 6x42 + +3x43 min.
-, . - , . , .
, , . ( xij), , . 5.1 5.3.
5.3
1 | 2 | 3 | ||
1 | ||||
2 | ||||
3 | ||||
4 | ||||
:
, .. , , ;
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, .. .
1. .
2. .