ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
80
ɝɞɟ
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m n
ijk
s t
m jn k i
s
t
v v
M g P P
X X
Z
w w
c
w w
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ɮɭɧɤɰɢɹ ɞɢɫɫɢɩɚɰɢɢ;
ijk
m
M
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rtn i
j
k p
p r t
n m
M P P P Q
c c c c
1
2
ijkl
ij k
ik j
i jk
l
l
l
l
M
P G G
P G G
G G
—
ɤɨɦɩɨ-
ɧɟɧɬɵ ɬɟɧɡɨɪɚ ɜɹɡɤɨɫɬɢ ɜ ɞɟɤɚɪɬɨɜɵɯ ɤɨɨɪɞɢɧɚɬɚɯ.
Ƚɪɚɧɢɱɧɵɟ ɭɫɥɨɜɢɹ ɤ ɫɢɫɬɟɦɟ ɭɪɚɜɧɟɧɢɣ (13) ɢɥɢ (14) ɜ ɚɞɚɩɬɢɜ-
ɧɵɯ ɤɨɨɪɞɢɧɚɬɚɯ ɧɚ ɠɟɫɬɤɨɣ ɫɬɟɧɤɟ
0,
i
v
,
i
e
i
n q
X
T
O
w
w
=
(15)
ɧɚ ɝɪɚɧɢɰɟ ɜɯɨɞɚ ɩɨɬɨɤɚ
,
e
U
U
,
i
i
e
v v
,
e
T
T
(16)
ɧɚ ɞɨɡɜɭɤɨɜɨɣ ɝɪɚɧɢɰɟ ɜɵɯɨɞɚ ɩɨɬɨɤɚ
,
e
U
U
0,
m
j
j
v n
X
w
w
0,
i
i
n
X
T
w
w
=
(17)
ɧɚ ɫɜɟɪɯɡɜɭɤɨɜɨɣ ɝɪɚɧɢɰɟ ɜɵɯɨɞɚ ɩɨɬɨɤɚ
0,
m
j
j
v n
X
w
w
0,
i
i
n
X
T
w
w
=
(18)
ɧɚ ɩɨɜɟɪɯɧɨɫɬɢ ɫɢɦɦɟɬɪɢɢ
0,
i
i
n
X
U
w
w
=
0,
i
i
v n
0,
m
i
m
i
v n
X
W
w
w
0,
i
i
n
X
T
w
w
=
(19)
ɝɞɟ
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i
e
v
e
T
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ɡɚɞɚɧɧɵɟ ɡɧɚɱɟɧɢɹ ɫɤɨɪɨɫɬɢ ɢ ɬɟɦɩɟɪɚɬɭɪɵ;
i
n
—
ɤɨɦ-
ɩɨɧɟɧɬɵ ɜɟɤɬɨɪɚ ɧɨɪɦɚɥɢ;
m
W
—
ɤɨɦɩɨɧɟɧɬɵ ɜɟɤɬɨɪɚ ɤɚɫɚɬɟɥɶɧɨɣ.
ɇɚɱɚɥɶɧɵɟ ɭɫɥɨɜɢɹ ɜ ɚɞɚɩɬɢɜɧɵɯ ɤɨɨɪɞɢɧɚɬɚɯ ɡɚɩɢɫɵɜɚɸɬɫɹ ɜ
ɜɢɞɟ
0
0
0 : 0,
,
0,
0,
0,
.
i
i
j
i
V
t
X
v X
X c
U
U
T
T
(20)
Ⱥɥɝɨɪɢɬɦ ɱɢɫɥɟɧɧɨɝɨ ɪɟɲɟɧɢɹ ɭɪɚɜɧɟɧɢɣ ɦɨɞɟɥɢ ɬɪɟɯɦɟɪɧɨ-
ɝɨ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ.
ɉɪɢ ɱɢɫɥɟɧɧɨɦ ɪɟɲɟɧɢɢ ɫɢɫɬɟɦ ɭɪɚɜɧɟɧɢɣ
ɦɨɞɟɥɢ ɬɪɟɯɦɟɪɧɨɝɨ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ ɢɫɩɨɥɶɡɭɟɬɫɹ ɫɥɟɞɭɸɳɢɣ ɚɥ-
ɝɨɪɢɬɦ. ɋɧɚɱɚɥɚ ɪɟɲɚɟɬɫɹ ɡɚɞɚɱɚ (13) ɞɥɹ ɢɞɟɚɥɶɧɨɝɨ ɝɚɡɚ ɜɨ ɜɫɟɣ
ɨɛɥɚɫɬɢ
V
ɫ ɝɪɚɧɢɱɧɵɦɢ ɭɫɥɨɜɢɹɦɢ ɧɟɩɪɨɧɢɰɚɟɦɨɫɬɢ ɧɚ ɩɨɜɟɪɯɧɨɫɬɢ
ɨɛɬɟɤɚɟɦɨɝɨ ɬɜɟɪɞɨɝɨ ɬɟɥɚ
1
6
.
ɗɬɚ ɫɢɫɬɟɦɚ ɢɧɬɟɝɪɢɪɭɟɬɫɹ ɦɟɬɨɞɨɦ
TVD ɬɢɩɚ ɏɚɪɬɟɧɚ ɜɬɨɪɨɝɨ ɩɨɪɹɞɤɚ ɚɩɩɪɨɤɫɢɦɚɰɢɢ [1, 2, 6, 7].