. 9
|
n- ... . S Sk, Sk - k , k = 0,..., n
. 9.
Pk(t) (k= 0,..., n) - t. :
1) - , l.
2) , ,
g(t) = me-m t (t>0) (2.25)
mtb = M(Tob) - .
m () .
, , , , .
, P(t) .
. .
, , 
t ' . Z - , - , t. () l, n .
(2.26)
(2.27)
(2.28)
, m,
(2.29) - (2.30)
f(t) = 
(2.31)
f(t) = 
(2.32)
3. Sk, k , k
Sk Sk-1
(2.33)
, , .10.
. 10
|
...
P¢0(t) = -P0(t) + mP1(t)
P¢1(t) = lP0(t) - (l +m)P1(t) + 2mP2(t) (2.34)
--------------------------------------------------
P¢k(t) = lPk-1(t) - (l +km)Pk(t) + (k+1)mPk+1(t)
--------------------------------------------------
P¢n(t) = lPn-1(t) - nmPn(t)
г (34) .
(34) 0(0) = =1; 1(0) =... = Pn(0) = 0, , Pk(t) - k.
Pk(t) . , Pn(t) , , t, ( ): = Pn(t).
g(t) = 1 - Pn(t) . t .
|
|
|
4. , l m . (2.34) l(t) m(t), .
