Formulario operativa 2
FormularioInvestigación de Operaciones II Modelo
Cola Infinita Factor M/M/1 M/M/s M/M/1 Cola Finita M/M/s
ρ
ρ=
λ µ
ρ=
λ sµ
ρ=
λ µ
ρ=
λ sµ
λefe
P0
λefe = λ
P0 = 1 − ρ
P0 =λefe = λ
1
λefe = λ (1 − PK )
1− ρ P0 = k +1 1− ρ
P0 =
λefe = λ (1 − PK )
1
∑ n! µ
n =0
s −1
1 λ
n
+
(sρ ) s !(1 − ρ )
s
ρ s s µ s −1 ρn +∑ s ! sµ − λ n=0 n !
n
1 Pn = s !s n−s con n ≥ s
λ P0 µ
n
1− ρ n Pn = ρ k +1 1− ρ
con
1 λ Pn = P0 n! µ
con
n = 0,1, 2....., k − 1 ρ≠1
n = 0,1, 2....., s − 1
Pn
Pn = (1 − ρ ) ρ n
con
Pn =
1 λ P0 n! µ
n
1 n Pn = ρ k +1
con
1 Pn = s !s n−s
con
λ P0 µ
n
nk
L=ρ
1− ρ
L = sρ +
L
L = Lq + Ls
ρ (sρ ) ( P0 ) s !(1 − ρ ) 2
s
ρ 1 − (k + 1) ρ k + k ρ k +1 L= k +1 1− ρ 1 − ρ
con
L = ∑ n·Pn
n =0
s −1 L = ∑ n·Pn+ Lq + s 1 − ∑ Pn n=0 n=0 s −1
k
ρ ≠1
L = Lq + Ls
L=
k 2
con
ρ =1
L = Lq + Ls
L = Lq + Ls
ρ ( s ρ ) s P0 Lq = 2 s !(1 − ρ ) *(1 − ρ k − s − (1 −ρ )( k − s ) ρ k − s )
Lq
ρ2 Lq = 1− ρ
Lq =
ρ (sρ )s ( P0 ) s !(1 − ρ ) 2
λ µ
λ λ (1 − Pk ) Lq = L − efe = L − µ µ
Ls
Ls = ρ
L
Ls = s ρ =
Ls =
λefe λ (1 − Pk )= µ µ
W= L
Ls = L − Lq
W=
W
λ
=
ρ λ (1 − ρ )
W=
L
λ
λefe
W=
L
λefe
W = Wq + Ws
W = Wq + Ws
Wq = Lq
W = Wq + Ws
W = Wq + Ws
Wq
Ws
Wq =Lq
λ
=
ρ2 λ (1 − ρ )
λ
1 = Ls
Wq =
Lq
λefe
λefe
Ls
Wq =
Ws =
Lq
λefe
λefe
Ls
Ws =
ρ 1 = λ µ
Ws =
sρ
λ
=
µ
λ
Ws =...
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