1. , (k=0):
P0=1: {Σ ρ/!+ρn+1/n!(n-ρ)[1-(ρ/n)m]}
n ;
m ;
ρ ;
, t.
2. : P= ρn+m/n!n m*P0
3. : = 1- P
4. : A=λ
5. : _
n3=A/μ= λ /μ=ρ , ρ=λ/ μ
6. :
_
L= ρn+1/n*n! * 1-(ρ/n)m(m+1-mρ/n) / (1-ρ/n)2 * P0
7. : _ _
t= L/λ
_ _ _
8. : z= L+ n3
_
9. : t= z/λ
8.5 .
1.
5 . 90 /. 2 .
.
:
1. :
( );
(5 = 5 ).
2. :
λ (λ=90/60=3/2)
n (n=5);
μ , .. , (μ=1/ t)
t (t=2)
ρ ;
k ( ), k=n=5;
0 , ;
, ;
.
n = ρ* - .
= n / n - , .
= λ - .
3. :
) ρ = λ/μ = λ/(1/t) = λ t = 3/2 * 2 = 3
n
) = 1/ (Σρ/!) = 1/ (ρ0/0!)+(ρ1/1!)+(ρ2/2!)+(ρ3/3!)+(ρ4/4!)+(ρ5/5!)=
=0
=1/ (1+3/1)+(3*3/1*2)+(3*3*3/1*2*3)+(3*3*3*3/1*2*3*4)+
+(3*3*3*3*3/1*2*3*4*5)=1/ 1+3+(9/2)+(27/6)+(81/24)+(243/120)=0,054
) = ρn/ n!* = (35/ 1*2*3*4*5)*0,054=(3*3*3*3*3/1*2*3*4*5)*0,054=
= (243/120)*0,054=0,12
) = 1- = 1-0,12=0,88
) n = ρ* = 3*0,88=2,6
) = n / n = 2,6/5=0,52
) = λ = (3/2)*0,88 = 1,31.
2.
2 . 2 /. 1 3 . 2 .
.
:
1) :
-
|
|
|
-
-
- .
2) :
m=2 -
n=2 -
- 1.
3) :
) λ = 1/3;
) t = 2 ;
) ρ = λ/μ = λ/(1/t) = λ t = (1/3)*2=2/3.
) :
n
= 1/(Σρ/n!)+ρn+1/n!(n-ρ)*[1-(ρ/n)m]= 1/ ((ρ0/0!)+(ρ1/1!)+(ρ2/2!)+
=0
+(ρ2+1/1*2(2-ρ))*[1-(ρ/2)2]=1/ ((2/3)/0!)+2/3+((2/3)2/(1*2))+
+((2/3)3/ 2(2-2/3)) [1- ((2/3)/2)]= 1/ 1+2/3+2/9+1/9[1-1/9]=0,52
) :
= ρn+m/ n!nm* = ((2/3)4/1*2*22 )*0,52=(16/81)/8*0,52=0,013
) :
= 1- = 0,987
) :
= λ = 0,987*1/3=0,33
) :
n = ρ* = 2/3*0,987=0,658
, :
= 0,658/2=0,329.
) :
_
Lor= ρn+1/n*n! * (1-(ρ/n)m(m+1-mρ/n))/(1-ρ/n)2 *
_
Lor =( (2/3)3/(2*2) ) * 1- ( (2/3)/2)2 ) * ( 2+1-2*((2/3)/2) ) / ( 1-(2/3)/2)2 ) *0.52
=(8/27)/4* * (1-1/9*7/3) /(4/9)= 2/27*((20/27)/(4/9))*0.52=2/27*5/3*0.52=0.14
) :
_
tor= Lor/ λ = 0.14/0.33=0.42
) :
_
Z= Lor+ n = 0,14+0,66=0,8
) :
t= Z/ λ = 0,8/0,33=2,42 t= tor+ to = 0,42+2=2,42
:
1. () ?
2. ?
3. ?
4. :
) ,
) ,
) ,
) ,
) ?
5. ?
6. ?
7. ?
8. ?
9. ?
. .
, .
.
, . , , .
, .
|
|
|
( )
,
() (),
.
.
(), .
, (), , .
(
).
:
, , .
, ,
(),
.
(), ,
.. .
.
()
.
.
,
.
() ,
, .
, ,
( ,
..).
:
. 1 ().
, .
.
.
, , - , .
, ( , , ). :
1. , . (, ).
2. , .
3. , , .
