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theirishgold42
13.07.2020 •
Mathematics
Assuming that a router that can be modeled as an M/M/1 queuing system with a mean arrival rate of 500 packets/second and a mean service rate of 1000 packets/second, what is the probability of packet loss if the number of packets in residence is limited to 10
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Ответ:
P(10 packet) = 0.000976
Therefore, there is a 0.000976 probability of packet loss if the number of packets in residence is limited to 10.
Step-by-step explanation:
We are given an M/M/1 queuing system
The mean arrival rate is
λ = 500 packets/second
The mean service rate is
μ = 1000 packets/second
The number of packets in residence is
n = 10
The probability of packet loss is given by
P(n packet) = ρⁿ
When n is the number of packets and ρ is the gateway utilization
The gateway utilization is given by
ρ = λ/μ
Where λ is the mean arrival rate and μ is the mean service rate.
ρ = 500/1000
ρ =0.50
So, the probability is
P(10 packet) = (0.50)¹⁰
P(10 packet) = 0.000976
Therefore, there is a 0.000976 probability of packet loss if the number of packets in residence is limited to 10.
Ответ:
dude its b thats easy and yes im sure 4 units down and sense its not reflection then thats the answer