: 0 - , 1 - . λ - , μ - , , (.. 4.2.)
4.2. |
, .
i- , . , , . (λ ), , , .
(. . 4.2)
(4.16)
0(0) = 1, 1(0) = 0 , 0 1, , (4.16) .
(4.17)
0 (ε) = (ε + μ)/(ε + λ + μ)ε. (4.18)
, , .
K(t)=Po(t)= + e-(λ+μ)t. (4.19)
t , ,
K=μ/(λ+μ). (4.20)
λ = 1/, μ = 1/ ,
=/(+). (4.21)
4.2 [21]
2. . λ = 5 10-3 -1, μ =2 -1. . , . .
.
:
0. ,
1. ,
2. - .
0 1 2. .4.3.
4.3.
t
0 + 1 + 2 = 1, , , , .
|
|
0 = μ 2/(μ2 + 2λμ + 2λ2),
1 = 2λμ /(μ2 + 2 + 2λ2,
2 = 2λ2/(μ2 + +2 + 2 2).
= 0 = μ.2/(μ2+2λμ+2 2) = 22/[22+2 2 5 10-3+2(510-3)2] = 0,995.
. , . , .
, n , ( 4.4.) 0 - , 1 ‑ .
4.4 n
(4.22)
0 (0) = 1, 1 (0) = 0,
K (t) = P0 (t) = + e-(nλ+μ)t . (4.23)
(t→ )
K = = = . (4.24)
, .. λi μi n
Pi = P0 = K.. (4.25)
. = . (4.26)
n
K. . (4.27)