ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
79
ɝɟɨɦɟɬɪɢɱɟɫɤɨɣ ɨɛɥɚɫɬɢ. ɋɢɫɬɟɦɚ ɭɪɚɜɧɟɧɢɣ ɗɣɥɟɪɚ (10) ɦɨɠɟɬ
ɛɵɬɶ ɡɚɩɢɫɚɧɚ ɜ ɚɞɚɩɬɢɜɧɵɯ ɤɨɨɪɞɢɧɚɬɚɯ
j
X
ɜ ɧɟɞɢɜɟɪɝɟɧɬɧɨɦ ɜɢ-
ɞɟ [1]:
;
j
i
i
j
g
P
g v
t
X
U
U
c
w
w
c
w
w
(
)
(
)
0;
k
j
i k
ik
m i
mi
k
i
im
j
g v P
g v v p
g v v p
t
X
U
U
G
U
G
w
w
c
c
c
*
w
w
(13)
0,
j
i
i
j
g E
p
P
g v E
t
X
U
U
U
c
§
·
w
§
·
w
c
¨
¸
¨
¸
w
w
©
¹
©
¹
ɝɞɟ
i
v
—
ɤɨɦɩɨɧɟɧɬɵ ɜɟɤɬɨɪɚ ɫɤɨɪɨɫɬɢ ɜ ɮɢɡɢɱɟɫɤɨɦ ɛɚɡɢɫɟ
i
r
ɤɨ-
ɨɪɞɢɧɚɬ
;
j
X
c
i
j
mn
m n ij
g Q Q
G
c
c c
—
ɦɟɬɪɢɱɟɫɤɚɹ ɦɚɬɪɢɰɚ ɷɬɨɝɨ ɛɚɡɢɫɚ;
;
g r
c
;
i
i
j
j
X P
X
w
c w
;
i
i
j
j
x
Q
X
w c
c w
Ƚ
k
ij
—
ɫɢɦɜɨɥɵ Ʉɪɢɫɬɨɮɮɟɥɹ ɜ
ɰɢɥɢɧɞɪɢɱɟɫɤɨɣ ɫɢɫɬɟɦɟ ɤɨɨɪɞɢɧɚɬ, ɫɪɟɞɢ ɤɨɬɨɪɵɯ ɧɟɧɭɥɟɜɵɦɢ ɹɜ-
ɥɹɸɬɫɹ
1
33
Ƚ ,
r
3
3
31 13
Ƚ Ƚ 1/ .
r
ɋɢɫɬɟɦɚ ɭɪɚɜɧɟɧɢɣ ɇɚɜɶɟ—ɋɬɨɤɫɚ ɜɵɝɥɹɞɢɬ ɫɥɟɞɭɸɳɢɦ ɨɛɪɚ-
ɡɨɦ:
1
1
;
j i
j
i
i
i
j
j
g
P v
P
g v
t
X
X
U
U
U
§
·
w
w
w
c
c
¨
¸
w
w
w
©
¹
j
j
ij
s i
i s j
i
si
s
s
v
v
p
g
P v
v v
t
X
X
G
U
U
§
·
§
·
w
w
w
c
*
¨
¸
¨
¸
¨
¸
w
w
w
©
¹
©
¹
;
m
q
ijk n
i
m k
q
n
v
P
g M P
X
X
§
·
w
w
c
¨
¸
w
w
©
¹
(14)
i
s i
i
s
s
g v
e
e
p
g
P v
t
X
X g
U
U
§
·
§
·
c
w
w
w
c ¨
¸
¨
¸
¨
¸
¨
¸
w
c
w
w
©
¹
©
¹
*
,
q
n
j
i
q
n
P
g P
g
X
X
T
O
Z
w
w
§
·
c
c
¨
¸
w
w
©
¹