Codex Wiki
OurBigBook.com
Site
Source code
Stationary distribution of an M-M-infinity queue
...
Probability and statistics
Probability theory
Markov chain
Continuous-time Markov chain
Birth-death process
M-M-infinity queue
OurBigBook.com
Words: 22
For every
λ
,
μ
>
0
, an
M
/
M
/∞
queue is positive recurrent and has the
Poisson distribution
with mean
ρ
=
λ
/
μ
as its unique stationary distribution:
π
n
=
e
−
ρ
n
!
ρ
n
.
(132)
Ancestors
(9)
M-M-infinity queue
Birth-death process
Continuous-time Markov chain
Markov chain
Probability theory
Probability and statistics
Area of mathematics
Mathematics
Home
Incoming links
(1)
Solution